Abstract

Focusing control of ultrashort pulsed beams is an important research topic, due to its impact to subsequent interaction with matter. In this work, we study the propagation near the focus of ultrashort laser pulses of ~25 fs duration under diffractive focusing. We perform the spatio-spectral and spatio-temporal measurements of their amplitude and phase, complemented by the corresponding simulations. With them, we demonstrate that pulse shaping allows modifying in a controlled way not only the spatio-temporal distribution of the light irradiance in the focal region, but also the way it propagates as well as the frequency distribution within the pulse (temporal chirp). To gain a further intuitive insight, the role of diverse added spectral phase components is analyzed, showing the symmetries that arise for each case. In particular, we compare the effects, similarities and differences of the second and third order dispersion cases.

© 2018 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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References

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2017 (1)

2016 (1)

C. Hernández-García, A. Jaron-Becker, D. D. Hickstein, A. Becker, and C. G. Durfee, “High-order-harmonic generation driven by pulses with angular spatial chirp,” Phys. Rev. A 93(2), 23825 (2016).

2015 (1)

2012 (7)

R. Martínez-Cuenca, O. Mendoza-Yero, B. Alonso, I. J. Sola, G. Mínguez-Vega, and J. Lancis, “Multibeam second-harmonic generation by spatiotemporal shaping of femtosecond pulses,” Opt. Lett. 37(5), 957–959 (2012).
[PubMed]

O. Mendoza-Yero, B. Alonso, G. Mínguez-Vega, Í. J. Sola, J. Lancis, and J. A. Monsoriu, “Synthesis of fractal light pulses by quasi-direct space-to-time pulse shaping,” Opt. Lett. 37(7), 1145–1147 (2012).
[PubMed]

C. G. Durfee, M. Greco, E. Block, D. Vitek, and J. A. Squier, “Intuitive analysis of space-time focusing with double-ABCD calculation,” Opt. Express 20(13), 14244–14259 (2012).
[PubMed]

B. Alonso, R. Borrego-Varillas, O. Mendoza-Yero, I. J. Sola, J. San Román, G. Mínguez-Vega, and L. Roso, “Frequency resolved wavefront retrieval and dynamics of diffractive focused ultrashort pulses,” J. Opt. Soc. Am. B 29(8), 1993–2000 (2012).

M. A. Porras, B. Major, and Z. L. Horvath, “Carrier-envelope phase shift of few-cycle pulses along the focus of lenses and mirrors beyond the nonreshaping pulse approximation: the effect of pulse chirp,” J. Opt. Soc. Am. B 29(12), 3271–3276 (2012).

M. A. Porras, Z. L. Horvath, and B. Major, “On the use of lenses to focus few-cycle pulses with controlled carrier-envelope phase,” Appl. Phys. B 108(3), 521–531 (2012).

H. Vincenti and F. Quéré, “Attosecond Lighthouses: How To Use Spatiotemporally Coupled Light Fields To Generate Isolated Attosecond Pulses,” Phys. Rev. Lett. 108(11), 113904 (2012).
[PubMed]

2011 (3)

W. Boutu, T. Auguste, O. Boyko, I. J. Sola, P. Balcou, L. Binazon, O. Gobert, H. Merdji, C. Valentin, E. Constant, E. Mével, and B. Carré, “High-order-harmonic generation in gas with a flat-top laser beam,” Phys. Rev. A 84(6), 063406 (2011).

M. Weiner, “Ultrafast optical pulse shaping: A tutorial review,” Opt. Commun. 284(15), 3669–3692 (2011).

B. Alonso, R. Borrego-Varillas, I. J. Sola, Ó. Varela, A. Villamarín, M. V. Collados, J. S. Román, J. M. Bueno, and L. Roso, “Enhancement of filamentation postcompression by astigmatic focusing,” Opt. Lett. 36(19), 3867–3869 (2011).
[PubMed]

2010 (6)

2009 (1)

2008 (3)

2000 (2)

1997 (2)

V. Moreno, J. F. Román, and J. R. Salgueiro, “High efficiency diffractive lenses: deduction of kinoform profile,” Am. J. Phys. 65(6), 556–562 (1997).

P. Tournois, “Acousto-optic programmable dispersive filter for adaptive compensation of group delay time dispersion in laser systems,” Opt. Commun. 140(4–6), 245–249 (1997).

1993 (1)

Alonso, B.

R. Martínez-Cuenca, O. Mendoza-Yero, B. Alonso, I. J. Sola, G. Mínguez-Vega, and J. Lancis, “Multibeam second-harmonic generation by spatiotemporal shaping of femtosecond pulses,” Opt. Lett. 37(5), 957–959 (2012).
[PubMed]

O. Mendoza-Yero, B. Alonso, G. Mínguez-Vega, Í. J. Sola, J. Lancis, and J. A. Monsoriu, “Synthesis of fractal light pulses by quasi-direct space-to-time pulse shaping,” Opt. Lett. 37(7), 1145–1147 (2012).
[PubMed]

B. Alonso, R. Borrego-Varillas, O. Mendoza-Yero, I. J. Sola, J. San Román, G. Mínguez-Vega, and L. Roso, “Frequency resolved wavefront retrieval and dynamics of diffractive focused ultrashort pulses,” J. Opt. Soc. Am. B 29(8), 1993–2000 (2012).

B. Alonso, R. Borrego-Varillas, I. J. Sola, Ó. Varela, A. Villamarín, M. V. Collados, J. S. Román, J. M. Bueno, and L. Roso, “Enhancement of filamentation postcompression by astigmatic focusing,” Opt. Lett. 36(19), 3867–3869 (2011).
[PubMed]

B. Alonso, I. J. Sola, O. Varela, J. Hernández-Toro, C. Méndez, J. San Román, A. Zaïr, and L. Roso, “Spatiotemporal amplitude-and-phase reconstruction by Fourier-transform of interference spectra of high-complex-beams,” J. Opt. Soc. Am. B 27(5), 933–940 (2010).

O. Mendoza-Yero, B. Alonso, O. Varela, G. Mínguez-Vega, I. J. Sola, J. Lancis, V. Climent, and L. Roso, “Spatio-temporal characterization of ultrashort pulses diffracted by circularly symmetric hard-edge apertures: theory and experiment,” Opt. Express 18(20), 20900–20911 (2010).
[PubMed]

Andrés, P.

Artal, P.

E. J. Gualda, J. M. Bueno, and P. Artal, “Wavefront optimized nonlinear microscopy of ex vivo human retinas,” J. Biomed. Opt. 15(2), 026007 (2010).
[PubMed]

Auguste, T.

W. Boutu, T. Auguste, O. Boyko, I. J. Sola, P. Balcou, L. Binazon, O. Gobert, H. Merdji, C. Valentin, E. Constant, E. Mével, and B. Carré, “High-order-harmonic generation in gas with a flat-top laser beam,” Phys. Rev. A 84(6), 063406 (2011).

Balcou, P.

W. Boutu, T. Auguste, O. Boyko, I. J. Sola, P. Balcou, L. Binazon, O. Gobert, H. Merdji, C. Valentin, E. Constant, E. Mével, and B. Carré, “High-order-harmonic generation in gas with a flat-top laser beam,” Phys. Rev. A 84(6), 063406 (2011).

Becker, A.

C. Hernández-García, A. Jaron-Becker, D. D. Hickstein, A. Becker, and C. G. Durfee, “High-order-harmonic generation driven by pulses with angular spatial chirp,” Phys. Rev. A 93(2), 23825 (2016).

Binazon, L.

W. Boutu, T. Auguste, O. Boyko, I. J. Sola, P. Balcou, L. Binazon, O. Gobert, H. Merdji, C. Valentin, E. Constant, E. Mével, and B. Carré, “High-order-harmonic generation in gas with a flat-top laser beam,” Phys. Rev. A 84(6), 063406 (2011).

Block, E.

Borrego-Varillas, R.

Boutu, W.

W. Boutu, T. Auguste, O. Boyko, I. J. Sola, P. Balcou, L. Binazon, O. Gobert, H. Merdji, C. Valentin, E. Constant, E. Mével, and B. Carré, “High-order-harmonic generation in gas with a flat-top laser beam,” Phys. Rev. A 84(6), 063406 (2011).

Boyko, O.

W. Boutu, T. Auguste, O. Boyko, I. J. Sola, P. Balcou, L. Binazon, O. Gobert, H. Merdji, C. Valentin, E. Constant, E. Mével, and B. Carré, “High-order-harmonic generation in gas with a flat-top laser beam,” Phys. Rev. A 84(6), 063406 (2011).

Bueno, J. M.

Carré, B.

W. Boutu, T. Auguste, O. Boyko, I. J. Sola, P. Balcou, L. Binazon, O. Gobert, H. Merdji, C. Valentin, E. Constant, E. Mével, and B. Carré, “High-order-harmonic generation in gas with a flat-top laser beam,” Phys. Rev. A 84(6), 063406 (2011).

Chemerisov, S.

Y. Li, S. Chemerisov, and B. Shen, “Ultrafast spatiotemporal laser pulse engineering using chromatic dispersion,” New J. Phys. 12(12), 123011 (2010).

Y. Li and S. Chemerisov, “Manipulation of spatiotemporal photon distribution via chromatic aberration,” Opt. Lett. 33(17), 1996–1998 (2008).
[PubMed]

Cheng, Y.

Cheng, Z.

Chin, S. L.

Chu, W.

Climent, V.

Collados, M. V.

Constant, E.

W. Boutu, T. Auguste, O. Boyko, I. J. Sola, P. Balcou, L. Binazon, O. Gobert, H. Merdji, C. Valentin, E. Constant, E. Mével, and B. Carré, “High-order-harmonic generation in gas with a flat-top laser beam,” Phys. Rev. A 84(6), 063406 (2011).

Durfee, C. G.

C. Hernández-García, A. Jaron-Becker, D. D. Hickstein, A. Becker, and C. G. Durfee, “High-order-harmonic generation driven by pulses with angular spatial chirp,” Phys. Rev. A 93(2), 23825 (2016).

C. G. Durfee, M. Greco, E. Block, D. Vitek, and J. A. Squier, “Intuitive analysis of space-time focusing with double-ABCD calculation,” Opt. Express 20(13), 14244–14259 (2012).
[PubMed]

Fu, Y.

Gisbert, R.

Gobert, O.

A. Sainte-Marie, O. Gobert, and F. Quéré, “Controlling the velocity of ultrashort light pulses in vacuum through spatio-temporal couplings,” Optica 4(10), 1298–1304 (2017).

W. Boutu, T. Auguste, O. Boyko, I. J. Sola, P. Balcou, L. Binazon, O. Gobert, H. Merdji, C. Valentin, E. Constant, E. Mével, and B. Carré, “High-order-harmonic generation in gas with a flat-top laser beam,” Phys. Rev. A 84(6), 063406 (2011).

Gopalan, V.

Greco, M.

Gualda, E. J.

E. J. Gualda, J. M. Bueno, and P. Artal, “Wavefront optimized nonlinear microscopy of ex vivo human retinas,” J. Biomed. Opt. 15(2), 026007 (2010).
[PubMed]

Hernández-García, C.

C. Hernández-García, A. Jaron-Becker, D. D. Hickstein, A. Becker, and C. G. Durfee, “High-order-harmonic generation driven by pulses with angular spatial chirp,” Phys. Rev. A 93(2), 23825 (2016).

Hernández-Toro, J.

Hickstein, D. D.

C. Hernández-García, A. Jaron-Becker, D. D. Hickstein, A. Becker, and C. G. Durfee, “High-order-harmonic generation driven by pulses with angular spatial chirp,” Phys. Rev. A 93(2), 23825 (2016).

Horvath, Z. L.

M. A. Porras, Z. L. Horvath, and B. Major, “On the use of lenses to focus few-cycle pulses with controlled carrier-envelope phase,” Appl. Phys. B 108(3), 521–531 (2012).

M. A. Porras, B. Major, and Z. L. Horvath, “Carrier-envelope phase shift of few-cycle pulses along the focus of lenses and mirrors beyond the nonreshaping pulse approximation: the effect of pulse chirp,” J. Opt. Soc. Am. B 29(12), 3271–3276 (2012).

Jaron-Becker, A.

C. Hernández-García, A. Jaron-Becker, D. D. Hickstein, A. Becker, and C. G. Durfee, “High-order-harmonic generation driven by pulses with angular spatial chirp,” Phys. Rev. A 93(2), 23825 (2016).

Jeong, T. M.

Kane, D. J.

Korn, G.

Lancis, J.

Laude, V.

Le Garrec, B.

Lewellen, J. W.

Y. Li and J. W. Lewellen, “Generating a quasiellipsoidal electron beam by 3D laser-pulse shaping,” Phys. Rev. Lett. 100(7), 074801 (2008).
[PubMed]

Li, H.

Li, Y.

Y. Li, S. Chemerisov, and B. Shen, “Ultrafast spatiotemporal laser pulse engineering using chromatic dispersion,” New J. Phys. 12(12), 123011 (2010).

Y. Li and J. W. Lewellen, “Generating a quasiellipsoidal electron beam by 3D laser-pulse shaping,” Phys. Rev. Lett. 100(7), 074801 (2008).
[PubMed]

Y. Li and S. Chemerisov, “Manipulation of spatiotemporal photon distribution via chromatic aberration,” Opt. Lett. 33(17), 1996–1998 (2008).
[PubMed]

Liu, W.

Liu, Z.

Major, B.

M. A. Porras, B. Major, and Z. L. Horvath, “Carrier-envelope phase shift of few-cycle pulses along the focus of lenses and mirrors beyond the nonreshaping pulse approximation: the effect of pulse chirp,” J. Opt. Soc. Am. B 29(12), 3271–3276 (2012).

M. A. Porras, Z. L. Horvath, and B. Major, “On the use of lenses to focus few-cycle pulses with controlled carrier-envelope phase,” Appl. Phys. B 108(3), 521–531 (2012).

Margarone, D.

Martínez-Cuenca, R.

Méndez, C.

Mendoza-Yero, O.

R. Martínez-Cuenca, O. Mendoza-Yero, B. Alonso, I. J. Sola, G. Mínguez-Vega, and J. Lancis, “Multibeam second-harmonic generation by spatiotemporal shaping of femtosecond pulses,” Opt. Lett. 37(5), 957–959 (2012).
[PubMed]

O. Mendoza-Yero, B. Alonso, G. Mínguez-Vega, Í. J. Sola, J. Lancis, and J. A. Monsoriu, “Synthesis of fractal light pulses by quasi-direct space-to-time pulse shaping,” Opt. Lett. 37(7), 1145–1147 (2012).
[PubMed]

B. Alonso, R. Borrego-Varillas, O. Mendoza-Yero, I. J. Sola, J. San Román, G. Mínguez-Vega, and L. Roso, “Frequency resolved wavefront retrieval and dynamics of diffractive focused ultrashort pulses,” J. Opt. Soc. Am. B 29(8), 1993–2000 (2012).

G. Mínguez-Vega, C. Romero, O. Mendoza-Yero, J. R. Vázquez de Aldana, R. Borrego-Varillas, C. Méndez, P. Andrés, J. Lancis, V. Climent, and L. Roso, “Wavelength tuning of femtosecond pulses generated in nonlinear crystals by using diffractive lenses,” Opt. Lett. 35(21), 3694–3696 (2010).
[PubMed]

O. Mendoza-Yero, B. Alonso, O. Varela, G. Mínguez-Vega, I. J. Sola, J. Lancis, V. Climent, and L. Roso, “Spatio-temporal characterization of ultrashort pulses diffracted by circularly symmetric hard-edge apertures: theory and experiment,” Opt. Express 18(20), 20900–20911 (2010).
[PubMed]

G. Mínguez-Vega, O. Mendoza-Yero, J. Lancis, R. Gisbert, and P. Andrés, “Diffractive optics for quasi-direct space-to-time pulse shaping,” Opt. Express 16(21), 16993–16998 (2008).
[PubMed]

Merdji, H.

W. Boutu, T. Auguste, O. Boyko, I. J. Sola, P. Balcou, L. Binazon, O. Gobert, H. Merdji, C. Valentin, E. Constant, E. Mével, and B. Carré, “High-order-harmonic generation in gas with a flat-top laser beam,” Phys. Rev. A 84(6), 063406 (2011).

Mével, E.

W. Boutu, T. Auguste, O. Boyko, I. J. Sola, P. Balcou, L. Binazon, O. Gobert, H. Merdji, C. Valentin, E. Constant, E. Mével, and B. Carré, “High-order-harmonic generation in gas with a flat-top laser beam,” Phys. Rev. A 84(6), 063406 (2011).

Mínguez-Vega, G.

R. Martínez-Cuenca, O. Mendoza-Yero, B. Alonso, I. J. Sola, G. Mínguez-Vega, and J. Lancis, “Multibeam second-harmonic generation by spatiotemporal shaping of femtosecond pulses,” Opt. Lett. 37(5), 957–959 (2012).
[PubMed]

O. Mendoza-Yero, B. Alonso, G. Mínguez-Vega, Í. J. Sola, J. Lancis, and J. A. Monsoriu, “Synthesis of fractal light pulses by quasi-direct space-to-time pulse shaping,” Opt. Lett. 37(7), 1145–1147 (2012).
[PubMed]

B. Alonso, R. Borrego-Varillas, O. Mendoza-Yero, I. J. Sola, J. San Román, G. Mínguez-Vega, and L. Roso, “Frequency resolved wavefront retrieval and dynamics of diffractive focused ultrashort pulses,” J. Opt. Soc. Am. B 29(8), 1993–2000 (2012).

O. Mendoza-Yero, B. Alonso, O. Varela, G. Mínguez-Vega, I. J. Sola, J. Lancis, V. Climent, and L. Roso, “Spatio-temporal characterization of ultrashort pulses diffracted by circularly symmetric hard-edge apertures: theory and experiment,” Opt. Express 18(20), 20900–20911 (2010).
[PubMed]

G. Mínguez-Vega, C. Romero, O. Mendoza-Yero, J. R. Vázquez de Aldana, R. Borrego-Varillas, C. Méndez, P. Andrés, J. Lancis, V. Climent, and L. Roso, “Wavelength tuning of femtosecond pulses generated in nonlinear crystals by using diffractive lenses,” Opt. Lett. 35(21), 3694–3696 (2010).
[PubMed]

G. Mínguez-Vega, O. Mendoza-Yero, J. Lancis, R. Gisbert, and P. Andrés, “Diffractive optics for quasi-direct space-to-time pulse shaping,” Opt. Express 16(21), 16993–16998 (2008).
[PubMed]

Mocek, T.

Monsoriu, J. A.

Moreno, V.

V. Moreno, J. F. Román, and J. R. Salgueiro, “High efficiency diffractive lenses: deduction of kinoform profile,” Am. J. Phys. 65(6), 556–562 (1997).

Porras, M. A.

M. A. Porras, Z. L. Horvath, and B. Major, “On the use of lenses to focus few-cycle pulses with controlled carrier-envelope phase,” Appl. Phys. B 108(3), 521–531 (2012).

M. A. Porras, B. Major, and Z. L. Horvath, “Carrier-envelope phase shift of few-cycle pulses along the focus of lenses and mirrors beyond the nonreshaping pulse approximation: the effect of pulse chirp,” J. Opt. Soc. Am. B 29(12), 3271–3276 (2012).

Quéré, F.

A. Sainte-Marie, O. Gobert, and F. Quéré, “Controlling the velocity of ultrashort light pulses in vacuum through spatio-temporal couplings,” Optica 4(10), 1298–1304 (2017).

H. Vincenti and F. Quéré, “Attosecond Lighthouses: How To Use Spatiotemporally Coupled Light Fields To Generate Isolated Attosecond Pulses,” Phys. Rev. Lett. 108(11), 113904 (2012).
[PubMed]

Román, J. F.

V. Moreno, J. F. Román, and J. R. Salgueiro, “High efficiency diffractive lenses: deduction of kinoform profile,” Am. J. Phys. 65(6), 556–562 (1997).

Román, J. S.

Romero, C.

Roso, L.

Sainte-Marie, A.

Salgueiro, J. R.

V. Moreno, J. F. Román, and J. R. Salgueiro, “High efficiency diffractive lenses: deduction of kinoform profile,” Am. J. Phys. 65(6), 556–562 (1997).

San Román, J.

Shen, B.

Y. Li, S. Chemerisov, and B. Shen, “Ultrafast spatiotemporal laser pulse engineering using chromatic dispersion,” New J. Phys. 12(12), 123011 (2010).

Shi, K.

Sola, I. J.

B. Alonso, R. Borrego-Varillas, O. Mendoza-Yero, I. J. Sola, J. San Román, G. Mínguez-Vega, and L. Roso, “Frequency resolved wavefront retrieval and dynamics of diffractive focused ultrashort pulses,” J. Opt. Soc. Am. B 29(8), 1993–2000 (2012).

R. Martínez-Cuenca, O. Mendoza-Yero, B. Alonso, I. J. Sola, G. Mínguez-Vega, and J. Lancis, “Multibeam second-harmonic generation by spatiotemporal shaping of femtosecond pulses,” Opt. Lett. 37(5), 957–959 (2012).
[PubMed]

B. Alonso, R. Borrego-Varillas, I. J. Sola, Ó. Varela, A. Villamarín, M. V. Collados, J. S. Román, J. M. Bueno, and L. Roso, “Enhancement of filamentation postcompression by astigmatic focusing,” Opt. Lett. 36(19), 3867–3869 (2011).
[PubMed]

W. Boutu, T. Auguste, O. Boyko, I. J. Sola, P. Balcou, L. Binazon, O. Gobert, H. Merdji, C. Valentin, E. Constant, E. Mével, and B. Carré, “High-order-harmonic generation in gas with a flat-top laser beam,” Phys. Rev. A 84(6), 063406 (2011).

B. Alonso, I. J. Sola, O. Varela, J. Hernández-Toro, C. Méndez, J. San Román, A. Zaïr, and L. Roso, “Spatiotemporal amplitude-and-phase reconstruction by Fourier-transform of interference spectra of high-complex-beams,” J. Opt. Soc. Am. B 27(5), 933–940 (2010).

O. Mendoza-Yero, B. Alonso, O. Varela, G. Mínguez-Vega, I. J. Sola, J. Lancis, V. Climent, and L. Roso, “Spatio-temporal characterization of ultrashort pulses diffracted by circularly symmetric hard-edge apertures: theory and experiment,” Opt. Express 18(20), 20900–20911 (2010).
[PubMed]

Sola, Í. J.

Spielmann, C.

Squier, J. A.

Tournois, P.

F. Verluise, V. Laude, Z. Cheng, C. Spielmann, and P. Tournois, “Amplitude and phase control of ultrashort pulses by use of an acousto-optic programmable dispersive filter: pulse compression and shaping,” Opt. Lett. 25(8), 575–577 (2000).
[PubMed]

P. Tournois, “Acousto-optic programmable dispersive filter for adaptive compensation of group delay time dispersion in laser systems,” Opt. Commun. 140(4–6), 245–249 (1997).

Trebino, R.

Valentin, C.

W. Boutu, T. Auguste, O. Boyko, I. J. Sola, P. Balcou, L. Binazon, O. Gobert, H. Merdji, C. Valentin, E. Constant, E. Mével, and B. Carré, “High-order-harmonic generation in gas with a flat-top laser beam,” Phys. Rev. A 84(6), 063406 (2011).

Varela, O.

Varela, Ó.

Vázquez de Aldana, J. R.

Verluise, F.

Villamarín, A.

Vincenti, H.

H. Vincenti and F. Quéré, “Attosecond Lighthouses: How To Use Spatiotemporally Coupled Light Fields To Generate Isolated Attosecond Pulses,” Phys. Rev. Lett. 108(11), 113904 (2012).
[PubMed]

Vitek, D.

Weber, S.

Weiner, M.

M. Weiner, “Ultrafast optical pulse shaping: A tutorial review,” Opt. Commun. 284(15), 3669–3692 (2011).

M. Weiner, “Femtosecond pulse shaping using spatial light modulators,” Rev. Sci. Instrum. 71(5), 1929–1960 (2000).

Xiong, H.

Xu, H.

Xu, Q.

Xu, Z.

Yang, C.

Yao, J.

Zaïr, A.

Zeng, B.

Am. J. Phys. (1)

V. Moreno, J. F. Román, and J. R. Salgueiro, “High efficiency diffractive lenses: deduction of kinoform profile,” Am. J. Phys. 65(6), 556–562 (1997).

Appl. Phys. B (1)

M. A. Porras, Z. L. Horvath, and B. Major, “On the use of lenses to focus few-cycle pulses with controlled carrier-envelope phase,” Appl. Phys. B 108(3), 521–531 (2012).

J. Biomed. Opt. (1)

E. J. Gualda, J. M. Bueno, and P. Artal, “Wavefront optimized nonlinear microscopy of ex vivo human retinas,” J. Biomed. Opt. 15(2), 026007 (2010).
[PubMed]

J. Opt. Soc. Am. A (1)

J. Opt. Soc. Am. B (3)

New J. Phys. (1)

Y. Li, S. Chemerisov, and B. Shen, “Ultrafast spatiotemporal laser pulse engineering using chromatic dispersion,” New J. Phys. 12(12), 123011 (2010).

Opt. Commun. (2)

M. Weiner, “Ultrafast optical pulse shaping: A tutorial review,” Opt. Commun. 284(15), 3669–3692 (2011).

P. Tournois, “Acousto-optic programmable dispersive filter for adaptive compensation of group delay time dispersion in laser systems,” Opt. Commun. 140(4–6), 245–249 (1997).

Opt. Express (5)

Opt. Lett. (7)

B. Alonso, R. Borrego-Varillas, I. J. Sola, Ó. Varela, A. Villamarín, M. V. Collados, J. S. Román, J. M. Bueno, and L. Roso, “Enhancement of filamentation postcompression by astigmatic focusing,” Opt. Lett. 36(19), 3867–3869 (2011).
[PubMed]

O. Mendoza-Yero, B. Alonso, G. Mínguez-Vega, Í. J. Sola, J. Lancis, and J. A. Monsoriu, “Synthesis of fractal light pulses by quasi-direct space-to-time pulse shaping,” Opt. Lett. 37(7), 1145–1147 (2012).
[PubMed]

Y. Fu, H. Xiong, H. Xu, J. Yao, B. Zeng, W. Chu, Y. Cheng, Z. Xu, W. Liu, and S. L. Chin, “Generation of extended filaments of femtosecond pulses in air by use of a single-step phase plate,” Opt. Lett. 34(23), 3752–3754 (2009).
[PubMed]

R. Martínez-Cuenca, O. Mendoza-Yero, B. Alonso, I. J. Sola, G. Mínguez-Vega, and J. Lancis, “Multibeam second-harmonic generation by spatiotemporal shaping of femtosecond pulses,” Opt. Lett. 37(5), 957–959 (2012).
[PubMed]

G. Mínguez-Vega, C. Romero, O. Mendoza-Yero, J. R. Vázquez de Aldana, R. Borrego-Varillas, C. Méndez, P. Andrés, J. Lancis, V. Climent, and L. Roso, “Wavelength tuning of femtosecond pulses generated in nonlinear crystals by using diffractive lenses,” Opt. Lett. 35(21), 3694–3696 (2010).
[PubMed]

Y. Li and S. Chemerisov, “Manipulation of spatiotemporal photon distribution via chromatic aberration,” Opt. Lett. 33(17), 1996–1998 (2008).
[PubMed]

F. Verluise, V. Laude, Z. Cheng, C. Spielmann, and P. Tournois, “Amplitude and phase control of ultrashort pulses by use of an acousto-optic programmable dispersive filter: pulse compression and shaping,” Opt. Lett. 25(8), 575–577 (2000).
[PubMed]

Optica (1)

Phys. Rev. A (2)

W. Boutu, T. Auguste, O. Boyko, I. J. Sola, P. Balcou, L. Binazon, O. Gobert, H. Merdji, C. Valentin, E. Constant, E. Mével, and B. Carré, “High-order-harmonic generation in gas with a flat-top laser beam,” Phys. Rev. A 84(6), 063406 (2011).

C. Hernández-García, A. Jaron-Becker, D. D. Hickstein, A. Becker, and C. G. Durfee, “High-order-harmonic generation driven by pulses with angular spatial chirp,” Phys. Rev. A 93(2), 23825 (2016).

Phys. Rev. Lett. (2)

H. Vincenti and F. Quéré, “Attosecond Lighthouses: How To Use Spatiotemporally Coupled Light Fields To Generate Isolated Attosecond Pulses,” Phys. Rev. Lett. 108(11), 113904 (2012).
[PubMed]

Y. Li and J. W. Lewellen, “Generating a quasiellipsoidal electron beam by 3D laser-pulse shaping,” Phys. Rev. Lett. 100(7), 074801 (2008).
[PubMed]

Rev. Sci. Instrum. (1)

M. Weiner, “Femtosecond pulse shaping using spatial light modulators,” Rev. Sci. Instrum. 71(5), 1929–1960 (2000).

Other (1)

M. Gu, Advanced Optical Imaging Theory (Springer-Verlag, 1999).

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Figures (6)

Fig. 1
Fig. 1 Experimental (above) and simulated (below) spatio-spectral distribution depending on the propagation plane z, where δz = 0 mm corresponds to the focal plane z= f 0 , the focus for the central wavelength ( λ 0 = 785 nm). Results are normalized and shown in logarithmic scale, where the scale bar indicates the 3 orders of magnitude represented.
Fig. 2
Fig. 2 Experimental spatio-temporal irradiance distribution depending on the propagation plane z (rows) and TOD of the input pulse (columns). δz = 0 mm corresponds to λ 0 focal plane. Results are normalized and shown in logarithmic scale, representing 3 orders of magnitude.
Fig. 3
Fig. 3 Theoretical spatio-temporal irradiance distribution depending on the propagation plane z (rows) and GDD of the input pulse (columns). δz = 0 mm corresponds to λ 0 focal plane. Results are normalized and shown in logarithmic scale, representing 3 orders of magnitude.
Fig. 4
Fig. 4 Experimental spatio-temporal irradiance distribution depending on the propagation plane z (rows) and TOD of the input pulse (columns). δz = 0 mm corresponds to λ 0 focal plane. Results are normalized and shown in logarithmic scale, representing 3 orders of magnitude.
Fig. 5
Fig. 5 Theoretical spatio-temporal irradiance distribution depending on the propagation plane z (rows) and TOD of the input pulse (columns). δz = 0 mm corresponds to λ 0 focal plane. Results are normalized and shown in logarithmic scale, representing 3 orders of magnitude.
Fig. 6
Fig. 6 Theoretical spatio-temporal instantaneous wavelength distribution depending on the propagation plane at δz with respect to f0 (rows) and the GDD or TOD (columns) phase components added to the input pulse. The color scale bar corresponds to the instantaneous wavelength value in nanometers.

Equations (9)

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U 2 ( z,ω; r 2 )= iω cz exp( iω r 2 2 2cz ) 0 a U 1 ( ω; r 1 )exp( iω r 1 2 2cz )exp( iω r 1 2 2cf( ω ) ) J 0 ( ω r 1 r 2 cz ) r 1 d r 1
U 2 ( z,ω; r 2 ) i ω 0 c f 0 ( 1 δz f 0 + Ω ω 0 )exp( i r 2 2 2c ω 0 f 0 ( 1 δz f 0 + Ω ω 0 ) )× 0 a U 1 ( ω; r 1 )exp( i r 1 2 2c ω 0 f 0 ( δz f 0 Ω ω 0 ) ) J 0 ( r 1 r 2 c ω 0 f 0 ( 1 δz f 0 + Ω ω 0 ) ) r 1 d r 1
U 2 ( z,ω; r 2 ) i c ω 0 f 0 0 a U 1 ( ω; r 1 )exp( i r 1 2 2c ω 0 f 0 ( δz f 0 Ω ω 0 ) ) J 0 ( r 1 r 2 c ω 0 f 0 ) r 1 d r 1
U 2 ( δz,Ω; r 2 )= U 2 ( δz,Ω; r 2 )
F{ U 2 ( δz,Ω; r 2 ) }= + U 2 ( δz,Ω; r 2 ) e iΩt dΩ = = + U 2 ( +δz,+Ω; r 2 ) e iΩt dΩ = [ F{ U 2 ( δz,Ω; r 2 ) } ]
F{ e i φ (2n1) (2n1)! ( Ω ) (2n1) U 2 ( δz,Ω; r 2 ) }= ( F{ e i φ (2n1) (2n1)! Ω (2n1) U 2 ( δz,Ω; r 2 ) } )
F{ e i φ (2n) (2n)! ( Ω ) 2n U 2 ( δz,Ω; r 2 ) }= ( F{ e i φ (2n) (2n)! Ω 2n U 2 ( δz,Ω; r 2 ) } )
J 0 ( α )= 1 π 0 π cos( αsin( θ ) )dθ
J 0 ( α( 1+h ) )= 1 π 0 π cos( αsin( θ )( 1+h ) )dθ = = 1 π 0 π [ cos( αsin( θ ) )cos( hαsin( θ ) )sin( αsin( θ ) )sin( hαsin( θ ) ) ]dθ 1 π [ 0 π cos( αsin( θ ) )dθ hα 0 π sin( θ )sin( αsin( θ ) )dθ ]= = J 0 ( α ) 1 π hα 0 π sin( θ )sin( αsin( θ ) )dθ J 0 ( α )

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