Abstract

An economic, space- and time-resolved method to model ultra-short, intense pulse propagation in waveguides is described. Simulations of supercontinuum generation on a chip demonstrate the utility of the approach. Comparisons with the generalized nonlinear Schrödinger equation elucidate spatial effects, which influence pulse dynamics and the generation of new spectral components.

© 2014 Optical Society of America

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References

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  1. P. S. J. Russell, P. Hölzer, W. Chang, A. Abdolvand, and J. Travers, “Hollow-core photonic crystal fibres for gas-based nonlinear optics,” Nature Photonics 8, 278–286 (2014).
    [Crossref]
  2. J. C. Travers, W. Chang, J. Nold, N. Y. Joly, and P. St J Russell, “Ultrafast nonlinear optics in gas-filled hollow-core photonic crystal fibers [invited],” JOSA B 28, A11–A26 (2011).
    [Crossref]
  3. M. Nurhuda, A. Suda, K. Midorikawa, M. Hatayama, and K. Nagasaka, “Propagation dynamics of femtosecond laser pulses in a hollow fiber filled with argon: constant gas pressure versus differential gas pressure,” J. Opt. Soc. Am B 20, 2002–2011 (2003).
    [Crossref]
  4. P. Hölzer, W. Chang, J. Travers, A. Nazarkin, J. Nold, N. Joly, M. Saleh, F. Biancalana, and P. S. J. Russell, “Femtosecond nonlinear fiber optics in the ionization regime,” Phys. Rev. Lett. 107, 203901 (2011).
    [Crossref] [PubMed]
  5. M. Nisoli, S. De Silvestri, O. Svelto, R. Szipöcs, K. Ferencz, Ch. Spielmann, S. Sartania, and F. Krausz, “Compression of high-energy laser pulses below 5 fs,” Opt. Lett. 22, 522–524 (1997).
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    [Crossref]
  7. A. L. Gaeta, “Catastrophic collapse of ultrashort pulses,” Phys. Rev. Lett. 84, 3582–3585 (2000).
    [Crossref] [PubMed]
  8. A. L. Gaeta, “Nonlinear propagation and continuum generation in microstructured optical fibers,” Opt. Lett. 27, 924–926 (2002).
    [Crossref]
  9. X. Gai, D.-Y. Choi, S. Madden, Z. Yang, R. Wang, and B. Luther-Davies, “Supercontinuum generation in the mid-infrared from a dispersion-engineered As2S3 glass rib waveguide,” Opt. Lett. 37, 3870–3872 (2012).
    [Crossref] [PubMed]
  10. S. P. Stark, J. C. Travers, and P. S. J. Russell, “Extreme supercontinuum generation to the deep UV,” Opt. Lett. 37, 770–772 (2012).
    [Crossref] [PubMed]
  11. T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O. D. Mücke, A. Pugzyls, A. Baltuška, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
    [Crossref] [PubMed]
  12. H. S. Eisenberg, R. Morandotti, Y. Silberberg, S. Bar-Ad, D. Ross, and J. S. Aitchison, “Kerr spatiotemporal self-focusing in a planar glass waveguide,” Phys. Rev. Lett. 87, 043902 (2001).
    [Crossref] [PubMed]
  13. S. Akturk, C. L. Arnold, B. Zhou, and A. Mysyrowicz, “High-energy ultrashort laser pulse compression in hollow planar waveguides,” Opt. Lett. 34, 1462–1464 (2009).
    [Crossref] [PubMed]
  14. S. Chen, A. Jarnac, A. Houard, Y. Liu, C. L. Arnold, B. Zhou, B. Forestier, B. Prade, and A. Mysyrowicz, “Compression of high-energy ultrashort laser pulses through an argon-filled tapered planar waveguide,” J. Opt. Soc. Am. B 28, 1009–1012 (2011).
    [Crossref]
  15. C. L. Arnold, S. Akturk, M. Franco, A. Couairon, and A. Mysyrowicz, “Compression of ultrashort laser pulses in planar hollow waveguides: a stability analysis,” Opt. Exp. 17, 11122–11129 (2009).
    [Crossref]
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    [Crossref]
  17. Y. Okawachi, K. Saha, J. S. Levy, Y. H. Wen, M. Lipson, and A. L. Gaeta, “Octave-spanning frequency comb generation in a silicon nitride chip,” Opt. Lett. 36, 3398–3400 (2011).
    [Crossref] [PubMed]
  18. D. Duchesne, M. Peccianti, M. R. E. Lamont, M. Ferrera, L. Razzari, F. Lgar, R. Morandotti, S. Chu, B. E. Little, and D. J. Moss, “Supercontinuum generation in a high index doped silica glass spiral waveguide,” Opt. Exp. 18, 923–930 (2010).
    [Crossref]
  19. L. Zhang, Y. Yan, Y. Yue, Q. Lin, O. Painter, R. G. Beausoleil, and A. E. Willner, “On-chip two-octave super-continuum generation by enhancing self-steepening of optical pulses,” Opt. Exp. 19, 11584–11590 (2011).
    [Crossref]
  20. K. Saha, Y. Okawachi, B. Shim, J. S. Levy, R. Salem, A. R. Johnson, M. A. Foster, M. R. E. Lamont, M. Lipson, and A. L. Gaeta, “Modelocking and femtosecond pulse generation in chip-based frequency combs,” Opt. Exp. 21, 1335–1343 (2013).
    [Crossref]
  21. R. Halir, Y. Okawachi, J. S. Levy, M. A. Foster, M. Lipson, and A. L. Gaeta, “Ultrabroadband supercontinuum generation in a CMOS-compatible platform,” Opt. Lett. 37, 1685–1687 (2012).
    [Crossref] [PubMed]
  22. J. M. Dudley, G. Genty, and S. Coen, “Supercontinuum generation in photonic crystal fiber,” Rev. Mod. Phys. 78, 1135–1150 (2006).
    [Crossref]
  23. G. Genty, P. Kinsler, B. Kibler, and J. M. Dudley, “Nonlinear envelope equation modeling of sub-cycle dynamics and harmonic generation in nonlinear waveguides,” Opt. Exp. 15, 5382–5387 (2007).
    [Crossref]
  24. E. A. Golovchenko, E. M. Dianov, A. M. Prokhorov, and V. N. Serkin, “Decay of optical solitons,” JETP Lett. 42, 74–77 (1985).
  25. A. V. Husakou and J. Herrmann, “Supercontinuum generation of higher-order solitons by fission in photonic crystal fibers,” Phys. Rev. Lett. 87, 203901 (2001).
    [Crossref] [PubMed]
  26. J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. S. J. Russell, and G. Korn, “Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers,” Phys. Rev. Lett. 88, 173901 (2002).
    [Crossref] [PubMed]
  27. M. Kolesik, E. Wright, and J. Moloney, “Simulation of femtosecond pulse propagation in sub-micron diameter tapered fibers,” Appl. Phys. B 79, 293–300 (2004).
    [Crossref]
  28. S. Afshar V. and T. M. Monro, “A full vectorial model for pulse propagation in emerging waveguides with subwavelength structures part I: Kerr nonlinearity,” Opt. Exp. 17, 2298–2318 (2009).
    [Crossref]
  29. C. Courtois, A. Couairon, B. Cros, J. R. Marques, and G. Matthieussent, “Propagation of intense ultrashort laser pulses in a plasma filled capillary tube: Simulations and experiments,” Phys. Plasmas 8, 3445 (2001).
    [Crossref]
  30. F. Poletti and P. Horak, “Description of ultrashort pulse propagation in multimode optical fibers,” J. Opt. Soc. Am. B 25, 1645–1654 (2008).
    [Crossref]
  31. F. Poletti and P. Horak, “Dynamics of femtosecond supercontinuum generation in multimode fibers,” Opt. Exp. 17, 6134–6147 (2009).
    [Crossref]
  32. Yunhong Ding, Jing Xu, Haiyan Ou, and C. Peucheret, “Mode-selective wavelength conversion based on four-wave mixing in a multimode silicon waveguide,” Opt. Exp. 22, 127–135 (2014).
    [Crossref]
  33. J. Shibayama, M. Muraki, J. Yamauchi, and H. Nakano, “Comparative study of several time-domain methods for optical waveguide analyses,” J. Light. Technol. 23, 2285 (2005).
    [Crossref]
  34. K. Q. Le, T. Benson, and P. Bienstman, “Application of modified Padé approximant operators to time-domain beam propagation methods,” J. Opt. Soc. Am. B 26, 2285–2289 (2009).
    [Crossref]
  35. N.-N. Feng, G.-R. Zhou, and W.-P. Huang, “An efficient split-step time-domain beam-propagation method for modeling of optical waveguide devices,” J. Light. Technol. 23, 2186 (2005).
    [Crossref]
  36. H. M. Masoudi and M. S. Akond, “Time-domain BPM technique for modeling ultra short pulse propagation in dispersive optical structures: Analysis and assessment,” J. Light. Technol. 32, 1936–1943 (2014).
    [Crossref]
  37. H. M. Masoudi, “A novel nonparaxial time-domain beam-propagation method for modeling ultrashort pulses in optical structures,” J. Light. Technol. 25, 3175–3184 (2007).
    [Crossref]
  38. H. M. Masoudi and M. S. Akond, “Efficient iterative time-domain beam propagation methods for ultra short pulse propagation: Analysis and assessment,” J. Light. Technol. 29, 2475–2481 (2011).
    [Crossref]
  39. J. Andreasen and M. Kolesik, “Nonlinear propagation of light in structured media: Generalized unidirectional pulse propagation equations,” Phys. Rev. E 86, 036706 (2012).
    [Crossref]
  40. J. Andreasen, A. Bahl, and M. Kolesik, “Reflectionless beam propagation on a piecewise linear complex domain,” J. Light. Technol. submitted.
  41. A. Couairon, E. Brambilla, T. Corti, D. Majus, O. d. J. Ramírez-Góngora, and M. Kolesik, “Practitioner’s guide to laser pulse propagation models and simulation,” Eur. Phys. J. Special Topics 199, 5–76 (2011).
    [Crossref]
  42. K. Ikeda, R. E. Saperstein, N. Alic, and Y. Fainman, “Thermal and Kerr nonlinear properties of plasma-deposited silicon nitride/ silicon dioxide waveguides,” Opt. Exp. 16, 12987–12994 (2008).
    [Crossref]
  43. M. Kolesik, L. Tartara, and J. V. Moloney, “Effective three-wave-mixing picture and first Born approximation for femtosecond supercontinua from microstructured fibers,” Phys. Rev. A 82, 045802 (2010).
    [Crossref]
  44. D. Faccio, A. Averchi, A. Couairon, M. Kolesik, J. V. Moloney, A. Dubietis, G. Tamosauskas, P. Polesana, A. Piskarskas, and P. DiTrapani, “Spatio-temporal reshaping and X-wave dynamics in optical filaments,” Opt. Exp. 15, 13077–13095 (2007).
    [Crossref]
  45. M. Kolesik, E.M. Wright, A. Becker, and J.V. Moloney, “Simulation of third-harmonic and supercontinuum generation for femtosecond pulses in air,” Appl. Phys B 85, 531–538 (2006).
    [Crossref]

2014 (3)

P. S. J. Russell, P. Hölzer, W. Chang, A. Abdolvand, and J. Travers, “Hollow-core photonic crystal fibres for gas-based nonlinear optics,” Nature Photonics 8, 278–286 (2014).
[Crossref]

Yunhong Ding, Jing Xu, Haiyan Ou, and C. Peucheret, “Mode-selective wavelength conversion based on four-wave mixing in a multimode silicon waveguide,” Opt. Exp. 22, 127–135 (2014).
[Crossref]

H. M. Masoudi and M. S. Akond, “Time-domain BPM technique for modeling ultra short pulse propagation in dispersive optical structures: Analysis and assessment,” J. Light. Technol. 32, 1936–1943 (2014).
[Crossref]

2013 (1)

K. Saha, Y. Okawachi, B. Shim, J. S. Levy, R. Salem, A. R. Johnson, M. A. Foster, M. R. E. Lamont, M. Lipson, and A. L. Gaeta, “Modelocking and femtosecond pulse generation in chip-based frequency combs,” Opt. Exp. 21, 1335–1343 (2013).
[Crossref]

2012 (5)

R. Halir, Y. Okawachi, J. S. Levy, M. A. Foster, M. Lipson, and A. L. Gaeta, “Ultrabroadband supercontinuum generation in a CMOS-compatible platform,” Opt. Lett. 37, 1685–1687 (2012).
[Crossref] [PubMed]

X. Gai, D.-Y. Choi, S. Madden, Z. Yang, R. Wang, and B. Luther-Davies, “Supercontinuum generation in the mid-infrared from a dispersion-engineered As2S3 glass rib waveguide,” Opt. Lett. 37, 3870–3872 (2012).
[Crossref] [PubMed]

S. P. Stark, J. C. Travers, and P. S. J. Russell, “Extreme supercontinuum generation to the deep UV,” Opt. Lett. 37, 770–772 (2012).
[Crossref] [PubMed]

T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O. D. Mücke, A. Pugzyls, A. Baltuška, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
[Crossref] [PubMed]

J. Andreasen and M. Kolesik, “Nonlinear propagation of light in structured media: Generalized unidirectional pulse propagation equations,” Phys. Rev. E 86, 036706 (2012).
[Crossref]

2011 (8)

A. Couairon, E. Brambilla, T. Corti, D. Majus, O. d. J. Ramírez-Góngora, and M. Kolesik, “Practitioner’s guide to laser pulse propagation models and simulation,” Eur. Phys. J. Special Topics 199, 5–76 (2011).
[Crossref]

H. M. Masoudi and M. S. Akond, “Efficient iterative time-domain beam propagation methods for ultra short pulse propagation: Analysis and assessment,” J. Light. Technol. 29, 2475–2481 (2011).
[Crossref]

J. C. Travers, W. Chang, J. Nold, N. Y. Joly, and P. St J Russell, “Ultrafast nonlinear optics in gas-filled hollow-core photonic crystal fibers [invited],” JOSA B 28, A11–A26 (2011).
[Crossref]

P. Hölzer, W. Chang, J. Travers, A. Nazarkin, J. Nold, N. Joly, M. Saleh, F. Biancalana, and P. S. J. Russell, “Femtosecond nonlinear fiber optics in the ionization regime,” Phys. Rev. Lett. 107, 203901 (2011).
[Crossref] [PubMed]

S. Chen, A. Jarnac, A. Houard, Y. Liu, C. L. Arnold, B. Zhou, B. Forestier, B. Prade, and A. Mysyrowicz, “Compression of high-energy ultrashort laser pulses through an argon-filled tapered planar waveguide,” J. Opt. Soc. Am. B 28, 1009–1012 (2011).
[Crossref]

L. Caspani, D. Duchesne, K. Dolgaleva, S. J. Wagner, M. Ferrera, L. Razzari, A. Pasquazi, M. Peccianti, D. J. Moss, J. S. Aitchison, and R. Morandotti, “Optical frequency conversion in integrated devices,” J. Opt. Soc. Am. B 28, A67–A82 (2011).
[Crossref]

Y. Okawachi, K. Saha, J. S. Levy, Y. H. Wen, M. Lipson, and A. L. Gaeta, “Octave-spanning frequency comb generation in a silicon nitride chip,” Opt. Lett. 36, 3398–3400 (2011).
[Crossref] [PubMed]

L. Zhang, Y. Yan, Y. Yue, Q. Lin, O. Painter, R. G. Beausoleil, and A. E. Willner, “On-chip two-octave super-continuum generation by enhancing self-steepening of optical pulses,” Opt. Exp. 19, 11584–11590 (2011).
[Crossref]

2010 (2)

D. Duchesne, M. Peccianti, M. R. E. Lamont, M. Ferrera, L. Razzari, F. Lgar, R. Morandotti, S. Chu, B. E. Little, and D. J. Moss, “Supercontinuum generation in a high index doped silica glass spiral waveguide,” Opt. Exp. 18, 923–930 (2010).
[Crossref]

M. Kolesik, L. Tartara, and J. V. Moloney, “Effective three-wave-mixing picture and first Born approximation for femtosecond supercontinua from microstructured fibers,” Phys. Rev. A 82, 045802 (2010).
[Crossref]

2009 (5)

C. L. Arnold, S. Akturk, M. Franco, A. Couairon, and A. Mysyrowicz, “Compression of ultrashort laser pulses in planar hollow waveguides: a stability analysis,” Opt. Exp. 17, 11122–11129 (2009).
[Crossref]

S. Akturk, C. L. Arnold, B. Zhou, and A. Mysyrowicz, “High-energy ultrashort laser pulse compression in hollow planar waveguides,” Opt. Lett. 34, 1462–1464 (2009).
[Crossref] [PubMed]

K. Q. Le, T. Benson, and P. Bienstman, “Application of modified Padé approximant operators to time-domain beam propagation methods,” J. Opt. Soc. Am. B 26, 2285–2289 (2009).
[Crossref]

S. Afshar V. and T. M. Monro, “A full vectorial model for pulse propagation in emerging waveguides with subwavelength structures part I: Kerr nonlinearity,” Opt. Exp. 17, 2298–2318 (2009).
[Crossref]

F. Poletti and P. Horak, “Dynamics of femtosecond supercontinuum generation in multimode fibers,” Opt. Exp. 17, 6134–6147 (2009).
[Crossref]

2008 (3)

F. Poletti and P. Horak, “Description of ultrashort pulse propagation in multimode optical fibers,” J. Opt. Soc. Am. B 25, 1645–1654 (2008).
[Crossref]

M. A. Foster, A. C. Turner, M. Lipson, and A. L. Gaeta, “Nonlinear optics in photonic nanowires,” Opt. Exp. 16, 1300–1320 (2008).
[Crossref]

K. Ikeda, R. E. Saperstein, N. Alic, and Y. Fainman, “Thermal and Kerr nonlinear properties of plasma-deposited silicon nitride/ silicon dioxide waveguides,” Opt. Exp. 16, 12987–12994 (2008).
[Crossref]

2007 (3)

H. M. Masoudi, “A novel nonparaxial time-domain beam-propagation method for modeling ultrashort pulses in optical structures,” J. Light. Technol. 25, 3175–3184 (2007).
[Crossref]

D. Faccio, A. Averchi, A. Couairon, M. Kolesik, J. V. Moloney, A. Dubietis, G. Tamosauskas, P. Polesana, A. Piskarskas, and P. DiTrapani, “Spatio-temporal reshaping and X-wave dynamics in optical filaments,” Opt. Exp. 15, 13077–13095 (2007).
[Crossref]

G. Genty, P. Kinsler, B. Kibler, and J. M. Dudley, “Nonlinear envelope equation modeling of sub-cycle dynamics and harmonic generation in nonlinear waveguides,” Opt. Exp. 15, 5382–5387 (2007).
[Crossref]

2006 (2)

J. M. Dudley, G. Genty, and S. Coen, “Supercontinuum generation in photonic crystal fiber,” Rev. Mod. Phys. 78, 1135–1150 (2006).
[Crossref]

M. Kolesik, E.M. Wright, A. Becker, and J.V. Moloney, “Simulation of third-harmonic and supercontinuum generation for femtosecond pulses in air,” Appl. Phys B 85, 531–538 (2006).
[Crossref]

2005 (2)

N.-N. Feng, G.-R. Zhou, and W.-P. Huang, “An efficient split-step time-domain beam-propagation method for modeling of optical waveguide devices,” J. Light. Technol. 23, 2186 (2005).
[Crossref]

J. Shibayama, M. Muraki, J. Yamauchi, and H. Nakano, “Comparative study of several time-domain methods for optical waveguide analyses,” J. Light. Technol. 23, 2285 (2005).
[Crossref]

2004 (1)

M. Kolesik, E. Wright, and J. Moloney, “Simulation of femtosecond pulse propagation in sub-micron diameter tapered fibers,” Appl. Phys. B 79, 293–300 (2004).
[Crossref]

2003 (1)

M. Nurhuda, A. Suda, K. Midorikawa, M. Hatayama, and K. Nagasaka, “Propagation dynamics of femtosecond laser pulses in a hollow fiber filled with argon: constant gas pressure versus differential gas pressure,” J. Opt. Soc. Am B 20, 2002–2011 (2003).
[Crossref]

2002 (2)

A. L. Gaeta, “Nonlinear propagation and continuum generation in microstructured optical fibers,” Opt. Lett. 27, 924–926 (2002).
[Crossref]

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. S. J. Russell, and G. Korn, “Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers,” Phys. Rev. Lett. 88, 173901 (2002).
[Crossref] [PubMed]

2001 (3)

A. V. Husakou and J. Herrmann, “Supercontinuum generation of higher-order solitons by fission in photonic crystal fibers,” Phys. Rev. Lett. 87, 203901 (2001).
[Crossref] [PubMed]

C. Courtois, A. Couairon, B. Cros, J. R. Marques, and G. Matthieussent, “Propagation of intense ultrashort laser pulses in a plasma filled capillary tube: Simulations and experiments,” Phys. Plasmas 8, 3445 (2001).
[Crossref]

H. S. Eisenberg, R. Morandotti, Y. Silberberg, S. Bar-Ad, D. Ross, and J. S. Aitchison, “Kerr spatiotemporal self-focusing in a planar glass waveguide,” Phys. Rev. Lett. 87, 043902 (2001).
[Crossref] [PubMed]

2000 (1)

A. L. Gaeta, “Catastrophic collapse of ultrashort pulses,” Phys. Rev. Lett. 84, 3582–3585 (2000).
[Crossref] [PubMed]

1997 (1)

1985 (1)

E. A. Golovchenko, E. M. Dianov, A. M. Prokhorov, and V. N. Serkin, “Decay of optical solitons,” JETP Lett. 42, 74–77 (1985).

Abdolvand, A.

P. S. J. Russell, P. Hölzer, W. Chang, A. Abdolvand, and J. Travers, “Hollow-core photonic crystal fibres for gas-based nonlinear optics,” Nature Photonics 8, 278–286 (2014).
[Crossref]

Afshar V., S.

S. Afshar V. and T. M. Monro, “A full vectorial model for pulse propagation in emerging waveguides with subwavelength structures part I: Kerr nonlinearity,” Opt. Exp. 17, 2298–2318 (2009).
[Crossref]

Aitchison, J. S.

L. Caspani, D. Duchesne, K. Dolgaleva, S. J. Wagner, M. Ferrera, L. Razzari, A. Pasquazi, M. Peccianti, D. J. Moss, J. S. Aitchison, and R. Morandotti, “Optical frequency conversion in integrated devices,” J. Opt. Soc. Am. B 28, A67–A82 (2011).
[Crossref]

H. S. Eisenberg, R. Morandotti, Y. Silberberg, S. Bar-Ad, D. Ross, and J. S. Aitchison, “Kerr spatiotemporal self-focusing in a planar glass waveguide,” Phys. Rev. Lett. 87, 043902 (2001).
[Crossref] [PubMed]

Akond, M. S.

H. M. Masoudi and M. S. Akond, “Time-domain BPM technique for modeling ultra short pulse propagation in dispersive optical structures: Analysis and assessment,” J. Light. Technol. 32, 1936–1943 (2014).
[Crossref]

H. M. Masoudi and M. S. Akond, “Efficient iterative time-domain beam propagation methods for ultra short pulse propagation: Analysis and assessment,” J. Light. Technol. 29, 2475–2481 (2011).
[Crossref]

Akturk, S.

C. L. Arnold, S. Akturk, M. Franco, A. Couairon, and A. Mysyrowicz, “Compression of ultrashort laser pulses in planar hollow waveguides: a stability analysis,” Opt. Exp. 17, 11122–11129 (2009).
[Crossref]

S. Akturk, C. L. Arnold, B. Zhou, and A. Mysyrowicz, “High-energy ultrashort laser pulse compression in hollow planar waveguides,” Opt. Lett. 34, 1462–1464 (2009).
[Crossref] [PubMed]

Alic, N.

K. Ikeda, R. E. Saperstein, N. Alic, and Y. Fainman, “Thermal and Kerr nonlinear properties of plasma-deposited silicon nitride/ silicon dioxide waveguides,” Opt. Exp. 16, 12987–12994 (2008).
[Crossref]

Ališauskas, S.

T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O. D. Mücke, A. Pugzyls, A. Baltuška, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
[Crossref] [PubMed]

Andreasen, J.

J. Andreasen and M. Kolesik, “Nonlinear propagation of light in structured media: Generalized unidirectional pulse propagation equations,” Phys. Rev. E 86, 036706 (2012).
[Crossref]

J. Andreasen, A. Bahl, and M. Kolesik, “Reflectionless beam propagation on a piecewise linear complex domain,” J. Light. Technol. submitted.

Andriukaitis, G.

T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O. D. Mücke, A. Pugzyls, A. Baltuška, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
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Arpin, P.

T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O. D. Mücke, A. Pugzyls, A. Baltuška, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
[Crossref] [PubMed]

Averchi, A.

D. Faccio, A. Averchi, A. Couairon, M. Kolesik, J. V. Moloney, A. Dubietis, G. Tamosauskas, P. Polesana, A. Piskarskas, and P. DiTrapani, “Spatio-temporal reshaping and X-wave dynamics in optical filaments,” Opt. Exp. 15, 13077–13095 (2007).
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Bahl, A.

J. Andreasen, A. Bahl, and M. Kolesik, “Reflectionless beam propagation on a piecewise linear complex domain,” J. Light. Technol. submitted.

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T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O. D. Mücke, A. Pugzyls, A. Baltuška, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
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T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O. D. Mücke, A. Pugzyls, A. Baltuška, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
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L. Zhang, Y. Yan, Y. Yue, Q. Lin, O. Painter, R. G. Beausoleil, and A. E. Willner, “On-chip two-octave super-continuum generation by enhancing self-steepening of optical pulses,” Opt. Exp. 19, 11584–11590 (2011).
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T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O. D. Mücke, A. Pugzyls, A. Baltuška, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
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M. Kolesik, E.M. Wright, A. Becker, and J.V. Moloney, “Simulation of third-harmonic and supercontinuum generation for femtosecond pulses in air,” Appl. Phys B 85, 531–538 (2006).
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P. Hölzer, W. Chang, J. Travers, A. Nazarkin, J. Nold, N. Joly, M. Saleh, F. Biancalana, and P. S. J. Russell, “Femtosecond nonlinear fiber optics in the ionization regime,” Phys. Rev. Lett. 107, 203901 (2011).
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Bienstman, P.

Brambilla, E.

A. Couairon, E. Brambilla, T. Corti, D. Majus, O. d. J. Ramírez-Góngora, and M. Kolesik, “Practitioner’s guide to laser pulse propagation models and simulation,” Eur. Phys. J. Special Topics 199, 5–76 (2011).
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T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O. D. Mücke, A. Pugzyls, A. Baltuška, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
[Crossref] [PubMed]

Caspani, L.

Chang, W.

P. S. J. Russell, P. Hölzer, W. Chang, A. Abdolvand, and J. Travers, “Hollow-core photonic crystal fibres for gas-based nonlinear optics,” Nature Photonics 8, 278–286 (2014).
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P. Hölzer, W. Chang, J. Travers, A. Nazarkin, J. Nold, N. Joly, M. Saleh, F. Biancalana, and P. S. J. Russell, “Femtosecond nonlinear fiber optics in the ionization regime,” Phys. Rev. Lett. 107, 203901 (2011).
[Crossref] [PubMed]

J. C. Travers, W. Chang, J. Nold, N. Y. Joly, and P. St J Russell, “Ultrafast nonlinear optics in gas-filled hollow-core photonic crystal fibers [invited],” JOSA B 28, A11–A26 (2011).
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T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O. D. Mücke, A. Pugzyls, A. Baltuška, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
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Choi, D.-Y.

Chu, S.

D. Duchesne, M. Peccianti, M. R. E. Lamont, M. Ferrera, L. Razzari, F. Lgar, R. Morandotti, S. Chu, B. E. Little, and D. J. Moss, “Supercontinuum generation in a high index doped silica glass spiral waveguide,” Opt. Exp. 18, 923–930 (2010).
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J. M. Dudley, G. Genty, and S. Coen, “Supercontinuum generation in photonic crystal fiber,” Rev. Mod. Phys. 78, 1135–1150 (2006).
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A. Couairon, E. Brambilla, T. Corti, D. Majus, O. d. J. Ramírez-Góngora, and M. Kolesik, “Practitioner’s guide to laser pulse propagation models and simulation,” Eur. Phys. J. Special Topics 199, 5–76 (2011).
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Couairon, A.

A. Couairon, E. Brambilla, T. Corti, D. Majus, O. d. J. Ramírez-Góngora, and M. Kolesik, “Practitioner’s guide to laser pulse propagation models and simulation,” Eur. Phys. J. Special Topics 199, 5–76 (2011).
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C. L. Arnold, S. Akturk, M. Franco, A. Couairon, and A. Mysyrowicz, “Compression of ultrashort laser pulses in planar hollow waveguides: a stability analysis,” Opt. Exp. 17, 11122–11129 (2009).
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D. Faccio, A. Averchi, A. Couairon, M. Kolesik, J. V. Moloney, A. Dubietis, G. Tamosauskas, P. Polesana, A. Piskarskas, and P. DiTrapani, “Spatio-temporal reshaping and X-wave dynamics in optical filaments,” Opt. Exp. 15, 13077–13095 (2007).
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C. Courtois, A. Couairon, B. Cros, J. R. Marques, and G. Matthieussent, “Propagation of intense ultrashort laser pulses in a plasma filled capillary tube: Simulations and experiments,” Phys. Plasmas 8, 3445 (2001).
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Courtois, C.

C. Courtois, A. Couairon, B. Cros, J. R. Marques, and G. Matthieussent, “Propagation of intense ultrashort laser pulses in a plasma filled capillary tube: Simulations and experiments,” Phys. Plasmas 8, 3445 (2001).
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Cros, B.

C. Courtois, A. Couairon, B. Cros, J. R. Marques, and G. Matthieussent, “Propagation of intense ultrashort laser pulses in a plasma filled capillary tube: Simulations and experiments,” Phys. Plasmas 8, 3445 (2001).
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De Silvestri, S.

Dianov, E. M.

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Ding, Yunhong

Yunhong Ding, Jing Xu, Haiyan Ou, and C. Peucheret, “Mode-selective wavelength conversion based on four-wave mixing in a multimode silicon waveguide,” Opt. Exp. 22, 127–135 (2014).
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DiTrapani, P.

D. Faccio, A. Averchi, A. Couairon, M. Kolesik, J. V. Moloney, A. Dubietis, G. Tamosauskas, P. Polesana, A. Piskarskas, and P. DiTrapani, “Spatio-temporal reshaping and X-wave dynamics in optical filaments,” Opt. Exp. 15, 13077–13095 (2007).
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Dolgaleva, K.

Dubietis, A.

D. Faccio, A. Averchi, A. Couairon, M. Kolesik, J. V. Moloney, A. Dubietis, G. Tamosauskas, P. Polesana, A. Piskarskas, and P. DiTrapani, “Spatio-temporal reshaping and X-wave dynamics in optical filaments,” Opt. Exp. 15, 13077–13095 (2007).
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L. Caspani, D. Duchesne, K. Dolgaleva, S. J. Wagner, M. Ferrera, L. Razzari, A. Pasquazi, M. Peccianti, D. J. Moss, J. S. Aitchison, and R. Morandotti, “Optical frequency conversion in integrated devices,” J. Opt. Soc. Am. B 28, A67–A82 (2011).
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D. Duchesne, M. Peccianti, M. R. E. Lamont, M. Ferrera, L. Razzari, F. Lgar, R. Morandotti, S. Chu, B. E. Little, and D. J. Moss, “Supercontinuum generation in a high index doped silica glass spiral waveguide,” Opt. Exp. 18, 923–930 (2010).
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Dudley, J. M.

G. Genty, P. Kinsler, B. Kibler, and J. M. Dudley, “Nonlinear envelope equation modeling of sub-cycle dynamics and harmonic generation in nonlinear waveguides,” Opt. Exp. 15, 5382–5387 (2007).
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J. M. Dudley, G. Genty, and S. Coen, “Supercontinuum generation in photonic crystal fiber,” Rev. Mod. Phys. 78, 1135–1150 (2006).
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H. S. Eisenberg, R. Morandotti, Y. Silberberg, S. Bar-Ad, D. Ross, and J. S. Aitchison, “Kerr spatiotemporal self-focusing in a planar glass waveguide,” Phys. Rev. Lett. 87, 043902 (2001).
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Faccio, D.

D. Faccio, A. Averchi, A. Couairon, M. Kolesik, J. V. Moloney, A. Dubietis, G. Tamosauskas, P. Polesana, A. Piskarskas, and P. DiTrapani, “Spatio-temporal reshaping and X-wave dynamics in optical filaments,” Opt. Exp. 15, 13077–13095 (2007).
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Fainman, Y.

K. Ikeda, R. E. Saperstein, N. Alic, and Y. Fainman, “Thermal and Kerr nonlinear properties of plasma-deposited silicon nitride/ silicon dioxide waveguides,” Opt. Exp. 16, 12987–12994 (2008).
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N.-N. Feng, G.-R. Zhou, and W.-P. Huang, “An efficient split-step time-domain beam-propagation method for modeling of optical waveguide devices,” J. Light. Technol. 23, 2186 (2005).
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Ferrera, M.

L. Caspani, D. Duchesne, K. Dolgaleva, S. J. Wagner, M. Ferrera, L. Razzari, A. Pasquazi, M. Peccianti, D. J. Moss, J. S. Aitchison, and R. Morandotti, “Optical frequency conversion in integrated devices,” J. Opt. Soc. Am. B 28, A67–A82 (2011).
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D. Duchesne, M. Peccianti, M. R. E. Lamont, M. Ferrera, L. Razzari, F. Lgar, R. Morandotti, S. Chu, B. E. Little, and D. J. Moss, “Supercontinuum generation in a high index doped silica glass spiral waveguide,” Opt. Exp. 18, 923–930 (2010).
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Forestier, B.

Foster, M. A.

K. Saha, Y. Okawachi, B. Shim, J. S. Levy, R. Salem, A. R. Johnson, M. A. Foster, M. R. E. Lamont, M. Lipson, and A. L. Gaeta, “Modelocking and femtosecond pulse generation in chip-based frequency combs,” Opt. Exp. 21, 1335–1343 (2013).
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R. Halir, Y. Okawachi, J. S. Levy, M. A. Foster, M. Lipson, and A. L. Gaeta, “Ultrabroadband supercontinuum generation in a CMOS-compatible platform,” Opt. Lett. 37, 1685–1687 (2012).
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M. A. Foster, A. C. Turner, M. Lipson, and A. L. Gaeta, “Nonlinear optics in photonic nanowires,” Opt. Exp. 16, 1300–1320 (2008).
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C. L. Arnold, S. Akturk, M. Franco, A. Couairon, and A. Mysyrowicz, “Compression of ultrashort laser pulses in planar hollow waveguides: a stability analysis,” Opt. Exp. 17, 11122–11129 (2009).
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Gaeta, A.

T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O. D. Mücke, A. Pugzyls, A. Baltuška, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
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Gaeta, A. L.

K. Saha, Y. Okawachi, B. Shim, J. S. Levy, R. Salem, A. R. Johnson, M. A. Foster, M. R. E. Lamont, M. Lipson, and A. L. Gaeta, “Modelocking and femtosecond pulse generation in chip-based frequency combs,” Opt. Exp. 21, 1335–1343 (2013).
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R. Halir, Y. Okawachi, J. S. Levy, M. A. Foster, M. Lipson, and A. L. Gaeta, “Ultrabroadband supercontinuum generation in a CMOS-compatible platform,” Opt. Lett. 37, 1685–1687 (2012).
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Y. Okawachi, K. Saha, J. S. Levy, Y. H. Wen, M. Lipson, and A. L. Gaeta, “Octave-spanning frequency comb generation in a silicon nitride chip,” Opt. Lett. 36, 3398–3400 (2011).
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M. A. Foster, A. C. Turner, M. Lipson, and A. L. Gaeta, “Nonlinear optics in photonic nanowires,” Opt. Exp. 16, 1300–1320 (2008).
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A. L. Gaeta, “Nonlinear propagation and continuum generation in microstructured optical fibers,” Opt. Lett. 27, 924–926 (2002).
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A. L. Gaeta, “Catastrophic collapse of ultrashort pulses,” Phys. Rev. Lett. 84, 3582–3585 (2000).
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Gai, X.

Genty, G.

G. Genty, P. Kinsler, B. Kibler, and J. M. Dudley, “Nonlinear envelope equation modeling of sub-cycle dynamics and harmonic generation in nonlinear waveguides,” Opt. Exp. 15, 5382–5387 (2007).
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J. M. Dudley, G. Genty, and S. Coen, “Supercontinuum generation in photonic crystal fiber,” Rev. Mod. Phys. 78, 1135–1150 (2006).
[Crossref]

Golovchenko, E. A.

E. A. Golovchenko, E. M. Dianov, A. M. Prokhorov, and V. N. Serkin, “Decay of optical solitons,” JETP Lett. 42, 74–77 (1985).

Griebner, U.

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. S. J. Russell, and G. Korn, “Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers,” Phys. Rev. Lett. 88, 173901 (2002).
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Halir, R.

Hatayama, M.

M. Nurhuda, A. Suda, K. Midorikawa, M. Hatayama, and K. Nagasaka, “Propagation dynamics of femtosecond laser pulses in a hollow fiber filled with argon: constant gas pressure versus differential gas pressure,” J. Opt. Soc. Am B 20, 2002–2011 (2003).
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Hernández-García, C.

T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O. D. Mücke, A. Pugzyls, A. Baltuška, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
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Herrmann, J.

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. S. J. Russell, and G. Korn, “Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers,” Phys. Rev. Lett. 88, 173901 (2002).
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A. V. Husakou and J. Herrmann, “Supercontinuum generation of higher-order solitons by fission in photonic crystal fibers,” Phys. Rev. Lett. 87, 203901 (2001).
[Crossref] [PubMed]

Hölzer, P.

P. S. J. Russell, P. Hölzer, W. Chang, A. Abdolvand, and J. Travers, “Hollow-core photonic crystal fibres for gas-based nonlinear optics,” Nature Photonics 8, 278–286 (2014).
[Crossref]

P. Hölzer, W. Chang, J. Travers, A. Nazarkin, J. Nold, N. Joly, M. Saleh, F. Biancalana, and P. S. J. Russell, “Femtosecond nonlinear fiber optics in the ionization regime,” Phys. Rev. Lett. 107, 203901 (2011).
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F. Poletti and P. Horak, “Dynamics of femtosecond supercontinuum generation in multimode fibers,” Opt. Exp. 17, 6134–6147 (2009).
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F. Poletti and P. Horak, “Description of ultrashort pulse propagation in multimode optical fibers,” J. Opt. Soc. Am. B 25, 1645–1654 (2008).
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Houard, A.

Huang, W.-P.

N.-N. Feng, G.-R. Zhou, and W.-P. Huang, “An efficient split-step time-domain beam-propagation method for modeling of optical waveguide devices,” J. Light. Technol. 23, 2186 (2005).
[Crossref]

Husakou, A.

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. S. J. Russell, and G. Korn, “Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers,” Phys. Rev. Lett. 88, 173901 (2002).
[Crossref] [PubMed]

Husakou, A. V.

A. V. Husakou and J. Herrmann, “Supercontinuum generation of higher-order solitons by fission in photonic crystal fibers,” Phys. Rev. Lett. 87, 203901 (2001).
[Crossref] [PubMed]

Ikeda, K.

K. Ikeda, R. E. Saperstein, N. Alic, and Y. Fainman, “Thermal and Kerr nonlinear properties of plasma-deposited silicon nitride/ silicon dioxide waveguides,” Opt. Exp. 16, 12987–12994 (2008).
[Crossref]

Jarnac, A.

Jaron-Becker, A.

T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O. D. Mücke, A. Pugzyls, A. Baltuška, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
[Crossref] [PubMed]

Johnson, A. R.

K. Saha, Y. Okawachi, B. Shim, J. S. Levy, R. Salem, A. R. Johnson, M. A. Foster, M. R. E. Lamont, M. Lipson, and A. L. Gaeta, “Modelocking and femtosecond pulse generation in chip-based frequency combs,” Opt. Exp. 21, 1335–1343 (2013).
[Crossref]

Joly, N.

P. Hölzer, W. Chang, J. Travers, A. Nazarkin, J. Nold, N. Joly, M. Saleh, F. Biancalana, and P. S. J. Russell, “Femtosecond nonlinear fiber optics in the ionization regime,” Phys. Rev. Lett. 107, 203901 (2011).
[Crossref] [PubMed]

Joly, N. Y.

J. C. Travers, W. Chang, J. Nold, N. Y. Joly, and P. St J Russell, “Ultrafast nonlinear optics in gas-filled hollow-core photonic crystal fibers [invited],” JOSA B 28, A11–A26 (2011).
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Kapteyn, H. C.

T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O. D. Mücke, A. Pugzyls, A. Baltuška, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
[Crossref] [PubMed]

Kibler, B.

G. Genty, P. Kinsler, B. Kibler, and J. M. Dudley, “Nonlinear envelope equation modeling of sub-cycle dynamics and harmonic generation in nonlinear waveguides,” Opt. Exp. 15, 5382–5387 (2007).
[Crossref]

Kinsler, P.

G. Genty, P. Kinsler, B. Kibler, and J. M. Dudley, “Nonlinear envelope equation modeling of sub-cycle dynamics and harmonic generation in nonlinear waveguides,” Opt. Exp. 15, 5382–5387 (2007).
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Knight, J. C.

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. S. J. Russell, and G. Korn, “Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers,” Phys. Rev. Lett. 88, 173901 (2002).
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Kolesik, M.

J. Andreasen and M. Kolesik, “Nonlinear propagation of light in structured media: Generalized unidirectional pulse propagation equations,” Phys. Rev. E 86, 036706 (2012).
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A. Couairon, E. Brambilla, T. Corti, D. Majus, O. d. J. Ramírez-Góngora, and M. Kolesik, “Practitioner’s guide to laser pulse propagation models and simulation,” Eur. Phys. J. Special Topics 199, 5–76 (2011).
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M. Kolesik, L. Tartara, and J. V. Moloney, “Effective three-wave-mixing picture and first Born approximation for femtosecond supercontinua from microstructured fibers,” Phys. Rev. A 82, 045802 (2010).
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D. Faccio, A. Averchi, A. Couairon, M. Kolesik, J. V. Moloney, A. Dubietis, G. Tamosauskas, P. Polesana, A. Piskarskas, and P. DiTrapani, “Spatio-temporal reshaping and X-wave dynamics in optical filaments,” Opt. Exp. 15, 13077–13095 (2007).
[Crossref]

M. Kolesik, E.M. Wright, A. Becker, and J.V. Moloney, “Simulation of third-harmonic and supercontinuum generation for femtosecond pulses in air,” Appl. Phys B 85, 531–538 (2006).
[Crossref]

M. Kolesik, E. Wright, and J. Moloney, “Simulation of femtosecond pulse propagation in sub-micron diameter tapered fibers,” Appl. Phys. B 79, 293–300 (2004).
[Crossref]

J. Andreasen, A. Bahl, and M. Kolesik, “Reflectionless beam propagation on a piecewise linear complex domain,” J. Light. Technol. submitted.

Korn, G.

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. S. J. Russell, and G. Korn, “Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers,” Phys. Rev. Lett. 88, 173901 (2002).
[Crossref] [PubMed]

Krausz, F.

Lamont, M. R. E.

K. Saha, Y. Okawachi, B. Shim, J. S. Levy, R. Salem, A. R. Johnson, M. A. Foster, M. R. E. Lamont, M. Lipson, and A. L. Gaeta, “Modelocking and femtosecond pulse generation in chip-based frequency combs,” Opt. Exp. 21, 1335–1343 (2013).
[Crossref]

D. Duchesne, M. Peccianti, M. R. E. Lamont, M. Ferrera, L. Razzari, F. Lgar, R. Morandotti, S. Chu, B. E. Little, and D. J. Moss, “Supercontinuum generation in a high index doped silica glass spiral waveguide,” Opt. Exp. 18, 923–930 (2010).
[Crossref]

Le, K. Q.

Levy, J. S.

Lgar, F.

D. Duchesne, M. Peccianti, M. R. E. Lamont, M. Ferrera, L. Razzari, F. Lgar, R. Morandotti, S. Chu, B. E. Little, and D. J. Moss, “Supercontinuum generation in a high index doped silica glass spiral waveguide,” Opt. Exp. 18, 923–930 (2010).
[Crossref]

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L. Zhang, Y. Yan, Y. Yue, Q. Lin, O. Painter, R. G. Beausoleil, and A. E. Willner, “On-chip two-octave super-continuum generation by enhancing self-steepening of optical pulses,” Opt. Exp. 19, 11584–11590 (2011).
[Crossref]

Lipson, M.

K. Saha, Y. Okawachi, B. Shim, J. S. Levy, R. Salem, A. R. Johnson, M. A. Foster, M. R. E. Lamont, M. Lipson, and A. L. Gaeta, “Modelocking and femtosecond pulse generation in chip-based frequency combs,” Opt. Exp. 21, 1335–1343 (2013).
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R. Halir, Y. Okawachi, J. S. Levy, M. A. Foster, M. Lipson, and A. L. Gaeta, “Ultrabroadband supercontinuum generation in a CMOS-compatible platform,” Opt. Lett. 37, 1685–1687 (2012).
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Y. Okawachi, K. Saha, J. S. Levy, Y. H. Wen, M. Lipson, and A. L. Gaeta, “Octave-spanning frequency comb generation in a silicon nitride chip,” Opt. Lett. 36, 3398–3400 (2011).
[Crossref] [PubMed]

M. A. Foster, A. C. Turner, M. Lipson, and A. L. Gaeta, “Nonlinear optics in photonic nanowires,” Opt. Exp. 16, 1300–1320 (2008).
[Crossref]

Little, B. E.

D. Duchesne, M. Peccianti, M. R. E. Lamont, M. Ferrera, L. Razzari, F. Lgar, R. Morandotti, S. Chu, B. E. Little, and D. J. Moss, “Supercontinuum generation in a high index doped silica glass spiral waveguide,” Opt. Exp. 18, 923–930 (2010).
[Crossref]

Liu, Y.

Luther-Davies, B.

Madden, S.

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A. Couairon, E. Brambilla, T. Corti, D. Majus, O. d. J. Ramírez-Góngora, and M. Kolesik, “Practitioner’s guide to laser pulse propagation models and simulation,” Eur. Phys. J. Special Topics 199, 5–76 (2011).
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C. Courtois, A. Couairon, B. Cros, J. R. Marques, and G. Matthieussent, “Propagation of intense ultrashort laser pulses in a plasma filled capillary tube: Simulations and experiments,” Phys. Plasmas 8, 3445 (2001).
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H. M. Masoudi and M. S. Akond, “Time-domain BPM technique for modeling ultra short pulse propagation in dispersive optical structures: Analysis and assessment,” J. Light. Technol. 32, 1936–1943 (2014).
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H. M. Masoudi, “A novel nonparaxial time-domain beam-propagation method for modeling ultrashort pulses in optical structures,” J. Light. Technol. 25, 3175–3184 (2007).
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C. Courtois, A. Couairon, B. Cros, J. R. Marques, and G. Matthieussent, “Propagation of intense ultrashort laser pulses in a plasma filled capillary tube: Simulations and experiments,” Phys. Plasmas 8, 3445 (2001).
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Midorikawa, K.

M. Nurhuda, A. Suda, K. Midorikawa, M. Hatayama, and K. Nagasaka, “Propagation dynamics of femtosecond laser pulses in a hollow fiber filled with argon: constant gas pressure versus differential gas pressure,” J. Opt. Soc. Am B 20, 2002–2011 (2003).
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M. Kolesik, E. Wright, and J. Moloney, “Simulation of femtosecond pulse propagation in sub-micron diameter tapered fibers,” Appl. Phys. B 79, 293–300 (2004).
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Moloney, J. V.

M. Kolesik, L. Tartara, and J. V. Moloney, “Effective three-wave-mixing picture and first Born approximation for femtosecond supercontinua from microstructured fibers,” Phys. Rev. A 82, 045802 (2010).
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D. Faccio, A. Averchi, A. Couairon, M. Kolesik, J. V. Moloney, A. Dubietis, G. Tamosauskas, P. Polesana, A. Piskarskas, and P. DiTrapani, “Spatio-temporal reshaping and X-wave dynamics in optical filaments,” Opt. Exp. 15, 13077–13095 (2007).
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Moloney, J.V.

M. Kolesik, E.M. Wright, A. Becker, and J.V. Moloney, “Simulation of third-harmonic and supercontinuum generation for femtosecond pulses in air,” Appl. Phys B 85, 531–538 (2006).
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S. Afshar V. and T. M. Monro, “A full vectorial model for pulse propagation in emerging waveguides with subwavelength structures part I: Kerr nonlinearity,” Opt. Exp. 17, 2298–2318 (2009).
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L. Caspani, D. Duchesne, K. Dolgaleva, S. J. Wagner, M. Ferrera, L. Razzari, A. Pasquazi, M. Peccianti, D. J. Moss, J. S. Aitchison, and R. Morandotti, “Optical frequency conversion in integrated devices,” J. Opt. Soc. Am. B 28, A67–A82 (2011).
[Crossref]

D. Duchesne, M. Peccianti, M. R. E. Lamont, M. Ferrera, L. Razzari, F. Lgar, R. Morandotti, S. Chu, B. E. Little, and D. J. Moss, “Supercontinuum generation in a high index doped silica glass spiral waveguide,” Opt. Exp. 18, 923–930 (2010).
[Crossref]

H. S. Eisenberg, R. Morandotti, Y. Silberberg, S. Bar-Ad, D. Ross, and J. S. Aitchison, “Kerr spatiotemporal self-focusing in a planar glass waveguide,” Phys. Rev. Lett. 87, 043902 (2001).
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Moss, D. J.

L. Caspani, D. Duchesne, K. Dolgaleva, S. J. Wagner, M. Ferrera, L. Razzari, A. Pasquazi, M. Peccianti, D. J. Moss, J. S. Aitchison, and R. Morandotti, “Optical frequency conversion in integrated devices,” J. Opt. Soc. Am. B 28, A67–A82 (2011).
[Crossref]

D. Duchesne, M. Peccianti, M. R. E. Lamont, M. Ferrera, L. Razzari, F. Lgar, R. Morandotti, S. Chu, B. E. Little, and D. J. Moss, “Supercontinuum generation in a high index doped silica glass spiral waveguide,” Opt. Exp. 18, 923–930 (2010).
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Mücke, O. D.

T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O. D. Mücke, A. Pugzyls, A. Baltuška, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
[Crossref] [PubMed]

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J. Shibayama, M. Muraki, J. Yamauchi, and H. Nakano, “Comparative study of several time-domain methods for optical waveguide analyses,” J. Light. Technol. 23, 2285 (2005).
[Crossref]

Murnane, M. M.

T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O. D. Mücke, A. Pugzyls, A. Baltuška, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
[Crossref] [PubMed]

Mysyrowicz, A.

Nagasaka, K.

M. Nurhuda, A. Suda, K. Midorikawa, M. Hatayama, and K. Nagasaka, “Propagation dynamics of femtosecond laser pulses in a hollow fiber filled with argon: constant gas pressure versus differential gas pressure,” J. Opt. Soc. Am B 20, 2002–2011 (2003).
[Crossref]

Nakano, H.

J. Shibayama, M. Muraki, J. Yamauchi, and H. Nakano, “Comparative study of several time-domain methods for optical waveguide analyses,” J. Light. Technol. 23, 2285 (2005).
[Crossref]

Nazarkin, A.

P. Hölzer, W. Chang, J. Travers, A. Nazarkin, J. Nold, N. Joly, M. Saleh, F. Biancalana, and P. S. J. Russell, “Femtosecond nonlinear fiber optics in the ionization regime,” Phys. Rev. Lett. 107, 203901 (2011).
[Crossref] [PubMed]

Nickel, D.

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. S. J. Russell, and G. Korn, “Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers,” Phys. Rev. Lett. 88, 173901 (2002).
[Crossref] [PubMed]

Nisoli, M.

Nold, J.

P. Hölzer, W. Chang, J. Travers, A. Nazarkin, J. Nold, N. Joly, M. Saleh, F. Biancalana, and P. S. J. Russell, “Femtosecond nonlinear fiber optics in the ionization regime,” Phys. Rev. Lett. 107, 203901 (2011).
[Crossref] [PubMed]

J. C. Travers, W. Chang, J. Nold, N. Y. Joly, and P. St J Russell, “Ultrafast nonlinear optics in gas-filled hollow-core photonic crystal fibers [invited],” JOSA B 28, A11–A26 (2011).
[Crossref]

Nurhuda, M.

M. Nurhuda, A. Suda, K. Midorikawa, M. Hatayama, and K. Nagasaka, “Propagation dynamics of femtosecond laser pulses in a hollow fiber filled with argon: constant gas pressure versus differential gas pressure,” J. Opt. Soc. Am B 20, 2002–2011 (2003).
[Crossref]

Okawachi, Y.

Ou, Haiyan

Yunhong Ding, Jing Xu, Haiyan Ou, and C. Peucheret, “Mode-selective wavelength conversion based on four-wave mixing in a multimode silicon waveguide,” Opt. Exp. 22, 127–135 (2014).
[Crossref]

Painter, O.

L. Zhang, Y. Yan, Y. Yue, Q. Lin, O. Painter, R. G. Beausoleil, and A. E. Willner, “On-chip two-octave super-continuum generation by enhancing self-steepening of optical pulses,” Opt. Exp. 19, 11584–11590 (2011).
[Crossref]

Pasquazi, A.

Peccianti, M.

L. Caspani, D. Duchesne, K. Dolgaleva, S. J. Wagner, M. Ferrera, L. Razzari, A. Pasquazi, M. Peccianti, D. J. Moss, J. S. Aitchison, and R. Morandotti, “Optical frequency conversion in integrated devices,” J. Opt. Soc. Am. B 28, A67–A82 (2011).
[Crossref]

D. Duchesne, M. Peccianti, M. R. E. Lamont, M. Ferrera, L. Razzari, F. Lgar, R. Morandotti, S. Chu, B. E. Little, and D. J. Moss, “Supercontinuum generation in a high index doped silica glass spiral waveguide,” Opt. Exp. 18, 923–930 (2010).
[Crossref]

Peucheret, C.

Yunhong Ding, Jing Xu, Haiyan Ou, and C. Peucheret, “Mode-selective wavelength conversion based on four-wave mixing in a multimode silicon waveguide,” Opt. Exp. 22, 127–135 (2014).
[Crossref]

Piskarskas, A.

D. Faccio, A. Averchi, A. Couairon, M. Kolesik, J. V. Moloney, A. Dubietis, G. Tamosauskas, P. Polesana, A. Piskarskas, and P. DiTrapani, “Spatio-temporal reshaping and X-wave dynamics in optical filaments,” Opt. Exp. 15, 13077–13095 (2007).
[Crossref]

Plaja, L.

T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O. D. Mücke, A. Pugzyls, A. Baltuška, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
[Crossref] [PubMed]

Polesana, P.

D. Faccio, A. Averchi, A. Couairon, M. Kolesik, J. V. Moloney, A. Dubietis, G. Tamosauskas, P. Polesana, A. Piskarskas, and P. DiTrapani, “Spatio-temporal reshaping and X-wave dynamics in optical filaments,” Opt. Exp. 15, 13077–13095 (2007).
[Crossref]

Poletti, F.

F. Poletti and P. Horak, “Dynamics of femtosecond supercontinuum generation in multimode fibers,” Opt. Exp. 17, 6134–6147 (2009).
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F. Poletti and P. Horak, “Description of ultrashort pulse propagation in multimode optical fibers,” J. Opt. Soc. Am. B 25, 1645–1654 (2008).
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Popmintchev, D.

T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O. D. Mücke, A. Pugzyls, A. Baltuška, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
[Crossref] [PubMed]

Popmintchev, T.

T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O. D. Mücke, A. Pugzyls, A. Baltuška, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
[Crossref] [PubMed]

Prade, B.

Prokhorov, A. M.

E. A. Golovchenko, E. M. Dianov, A. M. Prokhorov, and V. N. Serkin, “Decay of optical solitons,” JETP Lett. 42, 74–77 (1985).

Pugzyls, A.

T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O. D. Mücke, A. Pugzyls, A. Baltuška, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
[Crossref] [PubMed]

Ramírez-Góngora, O. d. J.

A. Couairon, E. Brambilla, T. Corti, D. Majus, O. d. J. Ramírez-Góngora, and M. Kolesik, “Practitioner’s guide to laser pulse propagation models and simulation,” Eur. Phys. J. Special Topics 199, 5–76 (2011).
[Crossref]

Razzari, L.

L. Caspani, D. Duchesne, K. Dolgaleva, S. J. Wagner, M. Ferrera, L. Razzari, A. Pasquazi, M. Peccianti, D. J. Moss, J. S. Aitchison, and R. Morandotti, “Optical frequency conversion in integrated devices,” J. Opt. Soc. Am. B 28, A67–A82 (2011).
[Crossref]

D. Duchesne, M. Peccianti, M. R. E. Lamont, M. Ferrera, L. Razzari, F. Lgar, R. Morandotti, S. Chu, B. E. Little, and D. J. Moss, “Supercontinuum generation in a high index doped silica glass spiral waveguide,” Opt. Exp. 18, 923–930 (2010).
[Crossref]

Ross, D.

H. S. Eisenberg, R. Morandotti, Y. Silberberg, S. Bar-Ad, D. Ross, and J. S. Aitchison, “Kerr spatiotemporal self-focusing in a planar glass waveguide,” Phys. Rev. Lett. 87, 043902 (2001).
[Crossref] [PubMed]

Russell, P. S. J.

P. S. J. Russell, P. Hölzer, W. Chang, A. Abdolvand, and J. Travers, “Hollow-core photonic crystal fibres for gas-based nonlinear optics,” Nature Photonics 8, 278–286 (2014).
[Crossref]

S. P. Stark, J. C. Travers, and P. S. J. Russell, “Extreme supercontinuum generation to the deep UV,” Opt. Lett. 37, 770–772 (2012).
[Crossref] [PubMed]

P. Hölzer, W. Chang, J. Travers, A. Nazarkin, J. Nold, N. Joly, M. Saleh, F. Biancalana, and P. S. J. Russell, “Femtosecond nonlinear fiber optics in the ionization regime,” Phys. Rev. Lett. 107, 203901 (2011).
[Crossref] [PubMed]

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. S. J. Russell, and G. Korn, “Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers,” Phys. Rev. Lett. 88, 173901 (2002).
[Crossref] [PubMed]

Russell, P. St J

J. C. Travers, W. Chang, J. Nold, N. Y. Joly, and P. St J Russell, “Ultrafast nonlinear optics in gas-filled hollow-core photonic crystal fibers [invited],” JOSA B 28, A11–A26 (2011).
[Crossref]

Saha, K.

K. Saha, Y. Okawachi, B. Shim, J. S. Levy, R. Salem, A. R. Johnson, M. A. Foster, M. R. E. Lamont, M. Lipson, and A. L. Gaeta, “Modelocking and femtosecond pulse generation in chip-based frequency combs,” Opt. Exp. 21, 1335–1343 (2013).
[Crossref]

Y. Okawachi, K. Saha, J. S. Levy, Y. H. Wen, M. Lipson, and A. L. Gaeta, “Octave-spanning frequency comb generation in a silicon nitride chip,” Opt. Lett. 36, 3398–3400 (2011).
[Crossref] [PubMed]

Saleh, M.

P. Hölzer, W. Chang, J. Travers, A. Nazarkin, J. Nold, N. Joly, M. Saleh, F. Biancalana, and P. S. J. Russell, “Femtosecond nonlinear fiber optics in the ionization regime,” Phys. Rev. Lett. 107, 203901 (2011).
[Crossref] [PubMed]

Salem, R.

K. Saha, Y. Okawachi, B. Shim, J. S. Levy, R. Salem, A. R. Johnson, M. A. Foster, M. R. E. Lamont, M. Lipson, and A. L. Gaeta, “Modelocking and femtosecond pulse generation in chip-based frequency combs,” Opt. Exp. 21, 1335–1343 (2013).
[Crossref]

Saperstein, R. E.

K. Ikeda, R. E. Saperstein, N. Alic, and Y. Fainman, “Thermal and Kerr nonlinear properties of plasma-deposited silicon nitride/ silicon dioxide waveguides,” Opt. Exp. 16, 12987–12994 (2008).
[Crossref]

Sartania, S.

Schrauth, S. E.

T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O. D. Mücke, A. Pugzyls, A. Baltuška, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
[Crossref] [PubMed]

Serkin, V. N.

E. A. Golovchenko, E. M. Dianov, A. M. Prokhorov, and V. N. Serkin, “Decay of optical solitons,” JETP Lett. 42, 74–77 (1985).

Shibayama, J.

J. Shibayama, M. Muraki, J. Yamauchi, and H. Nakano, “Comparative study of several time-domain methods for optical waveguide analyses,” J. Light. Technol. 23, 2285 (2005).
[Crossref]

Shim, B.

K. Saha, Y. Okawachi, B. Shim, J. S. Levy, R. Salem, A. R. Johnson, M. A. Foster, M. R. E. Lamont, M. Lipson, and A. L. Gaeta, “Modelocking and femtosecond pulse generation in chip-based frequency combs,” Opt. Exp. 21, 1335–1343 (2013).
[Crossref]

T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O. D. Mücke, A. Pugzyls, A. Baltuška, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
[Crossref] [PubMed]

Silberberg, Y.

H. S. Eisenberg, R. Morandotti, Y. Silberberg, S. Bar-Ad, D. Ross, and J. S. Aitchison, “Kerr spatiotemporal self-focusing in a planar glass waveguide,” Phys. Rev. Lett. 87, 043902 (2001).
[Crossref] [PubMed]

Spielmann, Ch.

Stark, S. P.

Suda, A.

M. Nurhuda, A. Suda, K. Midorikawa, M. Hatayama, and K. Nagasaka, “Propagation dynamics of femtosecond laser pulses in a hollow fiber filled with argon: constant gas pressure versus differential gas pressure,” J. Opt. Soc. Am B 20, 2002–2011 (2003).
[Crossref]

Svelto, O.

Szipöcs, R.

Tamosauskas, G.

D. Faccio, A. Averchi, A. Couairon, M. Kolesik, J. V. Moloney, A. Dubietis, G. Tamosauskas, P. Polesana, A. Piskarskas, and P. DiTrapani, “Spatio-temporal reshaping and X-wave dynamics in optical filaments,” Opt. Exp. 15, 13077–13095 (2007).
[Crossref]

Tartara, L.

M. Kolesik, L. Tartara, and J. V. Moloney, “Effective three-wave-mixing picture and first Born approximation for femtosecond supercontinua from microstructured fibers,” Phys. Rev. A 82, 045802 (2010).
[Crossref]

Travers, J.

P. S. J. Russell, P. Hölzer, W. Chang, A. Abdolvand, and J. Travers, “Hollow-core photonic crystal fibres for gas-based nonlinear optics,” Nature Photonics 8, 278–286 (2014).
[Crossref]

P. Hölzer, W. Chang, J. Travers, A. Nazarkin, J. Nold, N. Joly, M. Saleh, F. Biancalana, and P. S. J. Russell, “Femtosecond nonlinear fiber optics in the ionization regime,” Phys. Rev. Lett. 107, 203901 (2011).
[Crossref] [PubMed]

Travers, J. C.

S. P. Stark, J. C. Travers, and P. S. J. Russell, “Extreme supercontinuum generation to the deep UV,” Opt. Lett. 37, 770–772 (2012).
[Crossref] [PubMed]

J. C. Travers, W. Chang, J. Nold, N. Y. Joly, and P. St J Russell, “Ultrafast nonlinear optics in gas-filled hollow-core photonic crystal fibers [invited],” JOSA B 28, A11–A26 (2011).
[Crossref]

Turner, A. C.

M. A. Foster, A. C. Turner, M. Lipson, and A. L. Gaeta, “Nonlinear optics in photonic nanowires,” Opt. Exp. 16, 1300–1320 (2008).
[Crossref]

Wadsworth, W. J.

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. S. J. Russell, and G. Korn, “Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers,” Phys. Rev. Lett. 88, 173901 (2002).
[Crossref] [PubMed]

Wagner, S. J.

Wang, R.

Wen, Y. H.

Willner, A. E.

L. Zhang, Y. Yan, Y. Yue, Q. Lin, O. Painter, R. G. Beausoleil, and A. E. Willner, “On-chip two-octave super-continuum generation by enhancing self-steepening of optical pulses,” Opt. Exp. 19, 11584–11590 (2011).
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Wright, E.

M. Kolesik, E. Wright, and J. Moloney, “Simulation of femtosecond pulse propagation in sub-micron diameter tapered fibers,” Appl. Phys. B 79, 293–300 (2004).
[Crossref]

Wright, E.M.

M. Kolesik, E.M. Wright, A. Becker, and J.V. Moloney, “Simulation of third-harmonic and supercontinuum generation for femtosecond pulses in air,” Appl. Phys B 85, 531–538 (2006).
[Crossref]

Xu, Jing

Yunhong Ding, Jing Xu, Haiyan Ou, and C. Peucheret, “Mode-selective wavelength conversion based on four-wave mixing in a multimode silicon waveguide,” Opt. Exp. 22, 127–135 (2014).
[Crossref]

Yamauchi, J.

J. Shibayama, M. Muraki, J. Yamauchi, and H. Nakano, “Comparative study of several time-domain methods for optical waveguide analyses,” J. Light. Technol. 23, 2285 (2005).
[Crossref]

Yan, Y.

L. Zhang, Y. Yan, Y. Yue, Q. Lin, O. Painter, R. G. Beausoleil, and A. E. Willner, “On-chip two-octave super-continuum generation by enhancing self-steepening of optical pulses,” Opt. Exp. 19, 11584–11590 (2011).
[Crossref]

Yang, Z.

Yue, Y.

L. Zhang, Y. Yan, Y. Yue, Q. Lin, O. Painter, R. G. Beausoleil, and A. E. Willner, “On-chip two-octave super-continuum generation by enhancing self-steepening of optical pulses,” Opt. Exp. 19, 11584–11590 (2011).
[Crossref]

Zhang, L.

L. Zhang, Y. Yan, Y. Yue, Q. Lin, O. Painter, R. G. Beausoleil, and A. E. Willner, “On-chip two-octave super-continuum generation by enhancing self-steepening of optical pulses,” Opt. Exp. 19, 11584–11590 (2011).
[Crossref]

Zhavoronkov, N.

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. S. J. Russell, and G. Korn, “Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers,” Phys. Rev. Lett. 88, 173901 (2002).
[Crossref] [PubMed]

Zhou, B.

Zhou, G.-R.

N.-N. Feng, G.-R. Zhou, and W.-P. Huang, “An efficient split-step time-domain beam-propagation method for modeling of optical waveguide devices,” J. Light. Technol. 23, 2186 (2005).
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Appl. Phys B (1)

M. Kolesik, E.M. Wright, A. Becker, and J.V. Moloney, “Simulation of third-harmonic and supercontinuum generation for femtosecond pulses in air,” Appl. Phys B 85, 531–538 (2006).
[Crossref]

Appl. Phys. B (1)

M. Kolesik, E. Wright, and J. Moloney, “Simulation of femtosecond pulse propagation in sub-micron diameter tapered fibers,” Appl. Phys. B 79, 293–300 (2004).
[Crossref]

Eur. Phys. J. Special Topics (1)

A. Couairon, E. Brambilla, T. Corti, D. Majus, O. d. J. Ramírez-Góngora, and M. Kolesik, “Practitioner’s guide to laser pulse propagation models and simulation,” Eur. Phys. J. Special Topics 199, 5–76 (2011).
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J. Light. Technol. (5)

J. Shibayama, M. Muraki, J. Yamauchi, and H. Nakano, “Comparative study of several time-domain methods for optical waveguide analyses,” J. Light. Technol. 23, 2285 (2005).
[Crossref]

N.-N. Feng, G.-R. Zhou, and W.-P. Huang, “An efficient split-step time-domain beam-propagation method for modeling of optical waveguide devices,” J. Light. Technol. 23, 2186 (2005).
[Crossref]

H. M. Masoudi and M. S. Akond, “Time-domain BPM technique for modeling ultra short pulse propagation in dispersive optical structures: Analysis and assessment,” J. Light. Technol. 32, 1936–1943 (2014).
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H. M. Masoudi, “A novel nonparaxial time-domain beam-propagation method for modeling ultrashort pulses in optical structures,” J. Light. Technol. 25, 3175–3184 (2007).
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H. M. Masoudi and M. S. Akond, “Efficient iterative time-domain beam propagation methods for ultra short pulse propagation: Analysis and assessment,” J. Light. Technol. 29, 2475–2481 (2011).
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J. Opt. Soc. Am B (1)

M. Nurhuda, A. Suda, K. Midorikawa, M. Hatayama, and K. Nagasaka, “Propagation dynamics of femtosecond laser pulses in a hollow fiber filled with argon: constant gas pressure versus differential gas pressure,” J. Opt. Soc. Am B 20, 2002–2011 (2003).
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JETP Lett. (1)

E. A. Golovchenko, E. M. Dianov, A. M. Prokhorov, and V. N. Serkin, “Decay of optical solitons,” JETP Lett. 42, 74–77 (1985).

JOSA B (1)

J. C. Travers, W. Chang, J. Nold, N. Y. Joly, and P. St J Russell, “Ultrafast nonlinear optics in gas-filled hollow-core photonic crystal fibers [invited],” JOSA B 28, A11–A26 (2011).
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Nature Photonics (1)

P. S. J. Russell, P. Hölzer, W. Chang, A. Abdolvand, and J. Travers, “Hollow-core photonic crystal fibres for gas-based nonlinear optics,” Nature Photonics 8, 278–286 (2014).
[Crossref]

Opt. Exp. (11)

C. L. Arnold, S. Akturk, M. Franco, A. Couairon, and A. Mysyrowicz, “Compression of ultrashort laser pulses in planar hollow waveguides: a stability analysis,” Opt. Exp. 17, 11122–11129 (2009).
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M. A. Foster, A. C. Turner, M. Lipson, and A. L. Gaeta, “Nonlinear optics in photonic nanowires,” Opt. Exp. 16, 1300–1320 (2008).
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G. Genty, P. Kinsler, B. Kibler, and J. M. Dudley, “Nonlinear envelope equation modeling of sub-cycle dynamics and harmonic generation in nonlinear waveguides,” Opt. Exp. 15, 5382–5387 (2007).
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D. Duchesne, M. Peccianti, M. R. E. Lamont, M. Ferrera, L. Razzari, F. Lgar, R. Morandotti, S. Chu, B. E. Little, and D. J. Moss, “Supercontinuum generation in a high index doped silica glass spiral waveguide,” Opt. Exp. 18, 923–930 (2010).
[Crossref]

L. Zhang, Y. Yan, Y. Yue, Q. Lin, O. Painter, R. G. Beausoleil, and A. E. Willner, “On-chip two-octave super-continuum generation by enhancing self-steepening of optical pulses,” Opt. Exp. 19, 11584–11590 (2011).
[Crossref]

K. Saha, Y. Okawachi, B. Shim, J. S. Levy, R. Salem, A. R. Johnson, M. A. Foster, M. R. E. Lamont, M. Lipson, and A. L. Gaeta, “Modelocking and femtosecond pulse generation in chip-based frequency combs,” Opt. Exp. 21, 1335–1343 (2013).
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F. Poletti and P. Horak, “Dynamics of femtosecond supercontinuum generation in multimode fibers,” Opt. Exp. 17, 6134–6147 (2009).
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Yunhong Ding, Jing Xu, Haiyan Ou, and C. Peucheret, “Mode-selective wavelength conversion based on four-wave mixing in a multimode silicon waveguide,” Opt. Exp. 22, 127–135 (2014).
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S. Afshar V. and T. M. Monro, “A full vectorial model for pulse propagation in emerging waveguides with subwavelength structures part I: Kerr nonlinearity,” Opt. Exp. 17, 2298–2318 (2009).
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Phys. Rev. A (1)

M. Kolesik, L. Tartara, and J. V. Moloney, “Effective three-wave-mixing picture and first Born approximation for femtosecond supercontinua from microstructured fibers,” Phys. Rev. A 82, 045802 (2010).
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Phys. Rev. E (1)

J. Andreasen and M. Kolesik, “Nonlinear propagation of light in structured media: Generalized unidirectional pulse propagation equations,” Phys. Rev. E 86, 036706 (2012).
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Phys. Rev. Lett. (5)

A. V. Husakou and J. Herrmann, “Supercontinuum generation of higher-order solitons by fission in photonic crystal fibers,” Phys. Rev. Lett. 87, 203901 (2001).
[Crossref] [PubMed]

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. S. J. Russell, and G. Korn, “Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers,” Phys. Rev. Lett. 88, 173901 (2002).
[Crossref] [PubMed]

P. Hölzer, W. Chang, J. Travers, A. Nazarkin, J. Nold, N. Joly, M. Saleh, F. Biancalana, and P. S. J. Russell, “Femtosecond nonlinear fiber optics in the ionization regime,” Phys. Rev. Lett. 107, 203901 (2011).
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Science (1)

T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O. D. Mücke, A. Pugzyls, A. Baltuška, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
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Other (1)

J. Andreasen, A. Bahl, and M. Kolesik, “Reflectionless beam propagation on a piecewise linear complex domain,” J. Light. Technol. submitted.

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Figures (6)

Fig. 1
Fig. 1 Simulated waveguide dispersion properties. Top-left panel shows the input for the gUPPE simulator, the effective fundamental mode susceptibility, calculated for two different grid resolutions. Bottom-left panel compares the respective group velocity dispersion results. The computational domain, indicated in the scheme, assumes a symmetric solution.
Fig. 2
Fig. 2 Supercontinuum generation in a waveguide after 40 mm propagation. Left: GNLS results. Right: gUPPE simulation with spatial resolution. Labels indicate output pulse energies.
Fig. 3
Fig. 3 Dispersive-wave spectral peak locations as functions of pulse energy for the short-wavelength peak (left) and the long-wavelength side of the spectrum (right).
Fig. 4
Fig. 4 Single-mode versus space-resolved simulation. Left: the on-axis maximal intensity as a function of the propagation distance for the pulse energy of 18 pJ. Right: The temporal profile of the pulse intensity taken at the point of the highest intensity, i.e. at the top of the second peak in the respective plots on left.
Fig. 5
Fig. 5 On-axis intensity vs propagation distance and local time for fully resolved (F) simulation and single mode (S) approximation. These maps show the last 30 mm propagation in the waveguide for 18 pJ pJ (left) and 21.4 pJ (right) pulse energy.
Fig. 6
Fig. 6 Spatial envelope S, Eqn. (11), of the nonlinear pulse propagating along z in a waveguide. The initially constant value represents the propagation in the fundamental mode. In the second half of the waveguide length, narrowing of the profile around the center at x = 0 indicates that the propagating pulse experiences an effectively narrower waveguide due to nonlinear interactions.

Equations (11)

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E ( ω , x , y , z ) = e + i L z A ( ω , x , y , z ) ,
L Ψ ω 2 c 2 ε ( x , y , ω ) Ψ + Δ Ψ + 1 ε Ψ . ε .
z A ( ω , x , y , z ) = + i 2 L e i L z { N ( 1 { e + i L z A } ) } ,
N ( E ) ω 2 ε 0 c 2 P ( E ) + 1 ε 0 ε P ( E ) .
E ( t , x , y , z ) = 1 { e + i L z A ( ω , x , y , z ) } = 0 e + i L z i ω t A ( ω , x , y , z ) d ω .
e + i L z = e i β z e i β z [ 1 + L β 2 β 2 1 ] e i β z exp [ i z 2 β ( L β 2 ) ] ,
e + i L z e i β z ,
exp [ Δ z 2 β ( L β 2 ) ] A ,
[ 1 i Δ z 4 β ( Δ x x + ω 2 ε c 2 β 2 ) ] A n + 1 = [ 1 + i Δ z 4 β ( Δ x x + ω 2 ε c 2 β 2 ) ] A n
β ( ω ) β ( ω S ) ( ω ω S V s ) n 2 I ω 2 c 0 ,
E ( t , x , y , z ) = S ( t , x , y , z ) M ( x , y , ω 0 ) ,

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