Abstract

The development of mode-division multiplexing techniques is an important step to increase the information processing capacity. In this context, we design an efficient and robust mode-division (de)multiplexing integrated device based on the combination of spatial adiabatic passage and supersymmetric techniques. It consists of two identical step-index external waveguides coupled to a supersymmetric central one with a specific modal content that prevents the transfer of the fundamental transverse electric spatial mode. The separation between waveguides is engineered along the propagation direction to optimize spatial adiabatic passage for the first excited transverse electric spatial mode of the step-index waveguides. Thus, by injecting a superposition of the two lowest spatial modes into the step-index left waveguide, the fundamental mode remains in the left waveguide while the first excited mode is fully transmitted to the right waveguide. Output fidelities > 0.90 are obtained for a broad range of geometrical parameter values and light’s wavelengths, reaching = 0.99 for optimized values.

© 2017 Optical Society of America

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References

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2017 (5)

D. Dai, “Silicon nanophotonic integrated devices for on-chip multiplexing and switching,” J. Lightwave Technol. 35(4), 572–587 (2017).
[Crossref]

Z. Zhang, Y. Yu, and F. Songnian, “Broadband on-chip mode-division multiplexer based on adiabatic couplers and symmetric Y-junction,” IEEE Photonics J. 9(2), 6600406 (2017).

V. Ng, J. A. Vaitkus, Z. J. Chaboyer, T. Nguyen, J. M. Dawes, M. J. Withford, A. D. Greentree, and M. J. Steel, “Digital waveguide adiabatic passage part 2: experiment,” Opt. Express 25(3), 2552–2559 (2017).
[Crossref]

N. V. Vitanov, A. A. Rangelov, B. W. Shore, and K. Bergmann, “Stimulated Raman adiabatic passage in physics, chemistry, and beyond,” Rev. Mod. Phys. 89(1), 015006 (2017).
[Crossref]

A. Mohanty, M. Zhang, A. Dutt, S. Ramelow, P. Nussenzveig, and M. Lipson, “Quantum interference between transverse spatial waveguide modes,” Nat. Commun. 8, 14010 (2017).
[Crossref] [PubMed]

2016 (4)

R. Menchon-Enrich, A. Benseny, V. Ahufinger, A. D. Greentree, Th. Busch, and J. Mompart, “Spatial adiabatic passage: a review of recent progress,” Rep. Prog. Phys. 79(7), 074401 (2016).
[Crossref] [PubMed]

W. Chen, P. Wang, T. Yang, G. Wang, T. Dai, Y. Zhang, L. Zhou, X. Jiang, and J. Yang, “Silicon three-mode (de)multiplexer based on cascaded asymmetric Y junctions,” Opt. Lett. 41(12), 2851–2854 (2016).
[Crossref] [PubMed]

D. J. Richardson, “New optical fibres for high-capacity optical communications,” Philos. Trans. R. Soc. Lond. A 374(2062), 20140441 (2016).
[Crossref]

E. Agrell, M. Karlsson, A. R. Chraplyvy, D. J. Richardson, P. M. Krummrich, P. Winzer, K. Roberts, J. K. Fischer, S. J. Savory, B. J. Eggleton, M. Secondini, F. R. Kschischang, A. Lord, J. Prat, I. Tomkos, J. E. Bowers, S. Srinivasan, M. Brandt-Pearce, and N. Gisin, “Roadmap of optical communications,” J. Opt. 18(6), 063002 (2016).
[Crossref]

2015 (3)

T. Meany, M. Gräfe, R. Heilmann, A. Perez-Leija, S. Gross, M. J. Steel, M. J. Withford, and A. Szameit, “Laser written circuits for quantum photonics,” Laser Photon. Rev. 9(4), 363–384 (2015).
[Crossref]

T. A. Birks, I. Gris-Sánchez, S. Yerolatsitis, S. G. Leon-Saval, and R. R. Thomson, “The photonic lantern,” Adv. Opt. Photonics 7(2), 107–167 (2015).
[Crossref]

M. Principe, G. Castaldi, M. Consales, A. Cusano, and V. Galdi, “Supersymmetry-inspired non-Hermitian optical couplers,” Sci. Rep. 5, 8568 (2015).
[Crossref] [PubMed]

2014 (8)

M. A. Miri, M. Heinrich, and D. N. Christodoulides, “SUSY-inspired onedimensional transformation optics,” Optica 1(2), 89–95 (2014).
[Crossref]

M. Heinrich, M.A. Miri, S. Stützer, S. Nolte, D. N. Christodoulides, and A. Szameit, “Observation of supersymmetric scattering in photonic lattices,” Opt. Lett. 39(21), 6130 (2014).
[Crossref] [PubMed]

S. Longhi, “Supersymmetric transparent optical intersections,” Opt. Lett. 40(4), 463–466 (2014).
[Crossref]

M. A. Miri, M. Heinrich, and D. N. Christodoulides, “Supersymmetric optical waveguides,” Proc. SPIE 8980, 89801F (2014).

G. Li, N. Bai, N. Zhao, and C. Xia, “Space-division multiplexing: the next frontier in optical communication,” Adv. Opt. Photonics 6(4), 413–487 (2014).
[Crossref]

B. A. Dorin and W. N. Ye, “Two-mode division multiplexing in a silicon-on insulator ring resonator,” Opt. Express 22(4), 4547–4558 (2014).
[Crossref] [PubMed]

M. Heinrich, M. A. Miri, S. Stützer, R. El-Ganainy, S. Nolte, A. Szameit, and D. N. Christodoulides, “Supersymmetric mode converters,” Nat. Commun. 5, 3698 (2014).
[Crossref] [PubMed]

L. W. Luo, N. Ophir, C. P. Chen, L. H. Gabrielli, C. B. Poitras, K. Bergmen, and M. Lipson, “WDM-compatible mode-division multiplexing on a silicon chip,” Nat. Commun. 5, 3069 (2014).
[Crossref] [PubMed]

2013 (8)

J. Xing, Z. Li, Z. Xiao, J. Yu, and Y. Yu, “Two-mode multiplexer and demultiplexer based on adiabatic couplers,” Opt. Lett. 38(17), 3468–3470 (2013).
[Crossref] [PubMed]

J. B. Driscoll, R. R. Grote, B. Souhan, J. I. Dadap, M. Lu, M. Richard, and M. Osgood, “Asymmetric Y junctions in silicon waveguides for on-chip mode-division multiplexing,” Opt. Lett. 38(11), 1854–1856 (2013).
[Crossref] [PubMed]

D. J. Richardson, J. M. Fini, and L. E. Nelson, “Space-division multiplexing in optical fibres,” Nat. Photonics 7(5), 354–362 (2013).
[Crossref]

C. Ciret, V. Coda, A. A. Rangelov, D. N. Neshev, and G. Montemezzani, “Broadband adiabatic light transfer in optically induced waveguide arrays,” Phys. Rev. A 87(1), 013806 (2013).
[Crossref]

R. Menchon-Enrich, A. Llobera, J. Vila-Planas, V. Cadarso, J. Mompart, and V. Ahufinger, “Light spectral filtering based on spatial adiabatic passage,” Light. Sci. Appl. 2, e90 (2013).
[Crossref]

M. A. Miri, M. Heinrich, and D. N. Christodoulides, “Supersymmetry-generated complex optical potentials with real spectra,” Phys. Rev. A 87(4), 043819 (2013).
[Crossref]

Y. Ding, J. Xu, F. Da Ros, B. Huang, H. Ou, and C. Peucheret, “On-chip two mode division multiplexing using tapered directional coupler-based mode multiplexer and demultiplexer,” Opt. Express 21(8), 10376–10382 (2013).
[Crossref] [PubMed]

M. A. Miri, M. Heinrich, R. El-Ganainy, and D. N. Christodoulides, “Supersymmetric optical structures,” Phys. Rev. Lett. 110(23), 233902 (2013).
[Crossref] [PubMed]

2012 (2)

2009 (2)

J. L. O’Brien, A. Furusawa, and J. Vuckovic, “Photonic quantum technologies,” Nat. Photonics 3(12), 687–695 (2009).
[Crossref]

F. Dreisow, M. Ornigotti, A. Szameit, M. Heinrich, R. Keil, S. Nolte, A. Tünnermann, and S. Longhi, “Polychromatic beam splitting by fractional stimulated Raman adiabatic passage,” Appl. Phys. Lett. 95(26), 261102 (2009).
[Crossref]

2007 (1)

S. Longhi, G. Della Valle, M. Ornigotti, and P. Laporta, “Coherent tunneling by adiabatic passage in an optical waveguide system,” Phys. Rev. B 76(20), 201101(R) (2007).
[Crossref]

1998 (1)

K. Bergmann, H. Theuer, and B. W. Shore, “Coherent population transfer among quantum states of atoms and molecules,” Rev. Mod. Phys. 70(3), 1003–1025 (1998).
[Crossref]

1995 (1)

F. Cooper, A. Khare, and U. Sukhatme, “Supersymmetry and quantum mechanics,” Phys. Rep. 251(5–6), 267–385 (1995).
[Crossref]

1994 (1)

S. M. Chumakov and K. B. Wolf, “Supersymmetry in Helmholtz optics,” Phys. Lett. A 193(1), 51–53 (1994).
[Crossref]

Agrell, E.

E. Agrell, M. Karlsson, A. R. Chraplyvy, D. J. Richardson, P. M. Krummrich, P. Winzer, K. Roberts, J. K. Fischer, S. J. Savory, B. J. Eggleton, M. Secondini, F. R. Kschischang, A. Lord, J. Prat, I. Tomkos, J. E. Bowers, S. Srinivasan, M. Brandt-Pearce, and N. Gisin, “Roadmap of optical communications,” J. Opt. 18(6), 063002 (2016).
[Crossref]

Ahufinger, V.

R. Menchon-Enrich, A. Benseny, V. Ahufinger, A. D. Greentree, Th. Busch, and J. Mompart, “Spatial adiabatic passage: a review of recent progress,” Rep. Prog. Phys. 79(7), 074401 (2016).
[Crossref] [PubMed]

R. Menchon-Enrich, A. Llobera, J. Vila-Planas, V. Cadarso, J. Mompart, and V. Ahufinger, “Light spectral filtering based on spatial adiabatic passage,” Light. Sci. Appl. 2, e90 (2013).
[Crossref]

R. Menchon-Enrich, A. Llobera, V. Cadarso, J. Mompart, and V. Ahufinger, “Adiabatic passage of light in CMOS-compatible silicon oxide integrated rib waveguides,” IEEE Photonics Technol. Lett. 24(7), 536 (2012).
[Crossref]

Bai, N.

G. Li, N. Bai, N. Zhao, and C. Xia, “Space-division multiplexing: the next frontier in optical communication,” Adv. Opt. Photonics 6(4), 413–487 (2014).
[Crossref]

Benseny, A.

R. Menchon-Enrich, A. Benseny, V. Ahufinger, A. D. Greentree, Th. Busch, and J. Mompart, “Spatial adiabatic passage: a review of recent progress,” Rep. Prog. Phys. 79(7), 074401 (2016).
[Crossref] [PubMed]

Bergmann, K.

N. V. Vitanov, A. A. Rangelov, B. W. Shore, and K. Bergmann, “Stimulated Raman adiabatic passage in physics, chemistry, and beyond,” Rev. Mod. Phys. 89(1), 015006 (2017).
[Crossref]

K. Bergmann, H. Theuer, and B. W. Shore, “Coherent population transfer among quantum states of atoms and molecules,” Rev. Mod. Phys. 70(3), 1003–1025 (1998).
[Crossref]

Bergmen, K.

L. W. Luo, N. Ophir, C. P. Chen, L. H. Gabrielli, C. B. Poitras, K. Bergmen, and M. Lipson, “WDM-compatible mode-division multiplexing on a silicon chip,” Nat. Commun. 5, 3069 (2014).
[Crossref] [PubMed]

Birks, T. A.

T. A. Birks, I. Gris-Sánchez, S. Yerolatsitis, S. G. Leon-Saval, and R. R. Thomson, “The photonic lantern,” Adv. Opt. Photonics 7(2), 107–167 (2015).
[Crossref]

Bowers, J. E.

E. Agrell, M. Karlsson, A. R. Chraplyvy, D. J. Richardson, P. M. Krummrich, P. Winzer, K. Roberts, J. K. Fischer, S. J. Savory, B. J. Eggleton, M. Secondini, F. R. Kschischang, A. Lord, J. Prat, I. Tomkos, J. E. Bowers, S. Srinivasan, M. Brandt-Pearce, and N. Gisin, “Roadmap of optical communications,” J. Opt. 18(6), 063002 (2016).
[Crossref]

Brandt-Pearce, M.

E. Agrell, M. Karlsson, A. R. Chraplyvy, D. J. Richardson, P. M. Krummrich, P. Winzer, K. Roberts, J. K. Fischer, S. J. Savory, B. J. Eggleton, M. Secondini, F. R. Kschischang, A. Lord, J. Prat, I. Tomkos, J. E. Bowers, S. Srinivasan, M. Brandt-Pearce, and N. Gisin, “Roadmap of optical communications,” J. Opt. 18(6), 063002 (2016).
[Crossref]

Busch, Th.

R. Menchon-Enrich, A. Benseny, V. Ahufinger, A. D. Greentree, Th. Busch, and J. Mompart, “Spatial adiabatic passage: a review of recent progress,” Rep. Prog. Phys. 79(7), 074401 (2016).
[Crossref] [PubMed]

Cadarso, V.

R. Menchon-Enrich, A. Llobera, J. Vila-Planas, V. Cadarso, J. Mompart, and V. Ahufinger, “Light spectral filtering based on spatial adiabatic passage,” Light. Sci. Appl. 2, e90 (2013).
[Crossref]

R. Menchon-Enrich, A. Llobera, V. Cadarso, J. Mompart, and V. Ahufinger, “Adiabatic passage of light in CMOS-compatible silicon oxide integrated rib waveguides,” IEEE Photonics Technol. Lett. 24(7), 536 (2012).
[Crossref]

Castaldi, G.

M. Principe, G. Castaldi, M. Consales, A. Cusano, and V. Galdi, “Supersymmetry-inspired non-Hermitian optical couplers,” Sci. Rep. 5, 8568 (2015).
[Crossref] [PubMed]

Chaboyer, Z. J.

Chen, C. L.

C. L. Chen, Foundations for Guided-Wave Optics (John Wiley & Sons, 2007).

Chen, C. P.

L. W. Luo, N. Ophir, C. P. Chen, L. H. Gabrielli, C. B. Poitras, K. Bergmen, and M. Lipson, “WDM-compatible mode-division multiplexing on a silicon chip,” Nat. Commun. 5, 3069 (2014).
[Crossref] [PubMed]

Chen, W.

Chraplyvy, A. R.

E. Agrell, M. Karlsson, A. R. Chraplyvy, D. J. Richardson, P. M. Krummrich, P. Winzer, K. Roberts, J. K. Fischer, S. J. Savory, B. J. Eggleton, M. Secondini, F. R. Kschischang, A. Lord, J. Prat, I. Tomkos, J. E. Bowers, S. Srinivasan, M. Brandt-Pearce, and N. Gisin, “Roadmap of optical communications,” J. Opt. 18(6), 063002 (2016).
[Crossref]

Christodoulides, D. N.

M. Heinrich, M. A. Miri, S. Stützer, R. El-Ganainy, S. Nolte, A. Szameit, and D. N. Christodoulides, “Supersymmetric mode converters,” Nat. Commun. 5, 3698 (2014).
[Crossref] [PubMed]

M. A. Miri, M. Heinrich, and D. N. Christodoulides, “Supersymmetric optical waveguides,” Proc. SPIE 8980, 89801F (2014).

M. Heinrich, M.A. Miri, S. Stützer, S. Nolte, D. N. Christodoulides, and A. Szameit, “Observation of supersymmetric scattering in photonic lattices,” Opt. Lett. 39(21), 6130 (2014).
[Crossref] [PubMed]

M. A. Miri, M. Heinrich, and D. N. Christodoulides, “SUSY-inspired onedimensional transformation optics,” Optica 1(2), 89–95 (2014).
[Crossref]

M. A. Miri, M. Heinrich, and D. N. Christodoulides, “Supersymmetry-generated complex optical potentials with real spectra,” Phys. Rev. A 87(4), 043819 (2013).
[Crossref]

M. A. Miri, M. Heinrich, R. El-Ganainy, and D. N. Christodoulides, “Supersymmetric optical structures,” Phys. Rev. Lett. 110(23), 233902 (2013).
[Crossref] [PubMed]

Chumakov, S. M.

S. M. Chumakov and K. B. Wolf, “Supersymmetry in Helmholtz optics,” Phys. Lett. A 193(1), 51–53 (1994).
[Crossref]

Ciret, C.

C. Ciret, V. Coda, A. A. Rangelov, D. N. Neshev, and G. Montemezzani, “Broadband adiabatic light transfer in optically induced waveguide arrays,” Phys. Rev. A 87(1), 013806 (2013).
[Crossref]

Coda, V.

C. Ciret, V. Coda, A. A. Rangelov, D. N. Neshev, and G. Montemezzani, “Broadband adiabatic light transfer in optically induced waveguide arrays,” Phys. Rev. A 87(1), 013806 (2013).
[Crossref]

Consales, M.

M. Principe, G. Castaldi, M. Consales, A. Cusano, and V. Galdi, “Supersymmetry-inspired non-Hermitian optical couplers,” Sci. Rep. 5, 8568 (2015).
[Crossref] [PubMed]

Cooper, F.

F. Cooper, A. Khare, and U. Sukhatme, “Supersymmetry and quantum mechanics,” Phys. Rep. 251(5–6), 267–385 (1995).
[Crossref]

Cusano, A.

M. Principe, G. Castaldi, M. Consales, A. Cusano, and V. Galdi, “Supersymmetry-inspired non-Hermitian optical couplers,” Sci. Rep. 5, 8568 (2015).
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Da Ros, F.

Dadap, J. I.

Dai, D.

Dai, T.

Dawes, J. M.

Della Valle, G.

S. Longhi, G. Della Valle, M. Ornigotti, and P. Laporta, “Coherent tunneling by adiabatic passage in an optical waveguide system,” Phys. Rev. B 76(20), 201101(R) (2007).
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M. Dine, Supersymmetry and string theory: beyond the standard model (Cambridge University, 2007).
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F. Dreisow, M. Ornigotti, A. Szameit, M. Heinrich, R. Keil, S. Nolte, A. Tünnermann, and S. Longhi, “Polychromatic beam splitting by fractional stimulated Raman adiabatic passage,” Appl. Phys. Lett. 95(26), 261102 (2009).
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Driscoll, J. B.

Dutt, A.

A. Mohanty, M. Zhang, A. Dutt, S. Ramelow, P. Nussenzveig, and M. Lipson, “Quantum interference between transverse spatial waveguide modes,” Nat. Commun. 8, 14010 (2017).
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E. Agrell, M. Karlsson, A. R. Chraplyvy, D. J. Richardson, P. M. Krummrich, P. Winzer, K. Roberts, J. K. Fischer, S. J. Savory, B. J. Eggleton, M. Secondini, F. R. Kschischang, A. Lord, J. Prat, I. Tomkos, J. E. Bowers, S. Srinivasan, M. Brandt-Pearce, and N. Gisin, “Roadmap of optical communications,” J. Opt. 18(6), 063002 (2016).
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M. Heinrich, M. A. Miri, S. Stützer, R. El-Ganainy, S. Nolte, A. Szameit, and D. N. Christodoulides, “Supersymmetric mode converters,” Nat. Commun. 5, 3698 (2014).
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M. A. Miri, M. Heinrich, R. El-Ganainy, and D. N. Christodoulides, “Supersymmetric optical structures,” Phys. Rev. Lett. 110(23), 233902 (2013).
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D. J. Richardson, J. M. Fini, and L. E. Nelson, “Space-division multiplexing in optical fibres,” Nat. Photonics 7(5), 354–362 (2013).
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E. Agrell, M. Karlsson, A. R. Chraplyvy, D. J. Richardson, P. M. Krummrich, P. Winzer, K. Roberts, J. K. Fischer, S. J. Savory, B. J. Eggleton, M. Secondini, F. R. Kschischang, A. Lord, J. Prat, I. Tomkos, J. E. Bowers, S. Srinivasan, M. Brandt-Pearce, and N. Gisin, “Roadmap of optical communications,” J. Opt. 18(6), 063002 (2016).
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J. L. O’Brien, A. Furusawa, and J. Vuckovic, “Photonic quantum technologies,” Nat. Photonics 3(12), 687–695 (2009).
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L. W. Luo, N. Ophir, C. P. Chen, L. H. Gabrielli, C. B. Poitras, K. Bergmen, and M. Lipson, “WDM-compatible mode-division multiplexing on a silicon chip,” Nat. Commun. 5, 3069 (2014).
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M. Principe, G. Castaldi, M. Consales, A. Cusano, and V. Galdi, “Supersymmetry-inspired non-Hermitian optical couplers,” Sci. Rep. 5, 8568 (2015).
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E. Agrell, M. Karlsson, A. R. Chraplyvy, D. J. Richardson, P. M. Krummrich, P. Winzer, K. Roberts, J. K. Fischer, S. J. Savory, B. J. Eggleton, M. Secondini, F. R. Kschischang, A. Lord, J. Prat, I. Tomkos, J. E. Bowers, S. Srinivasan, M. Brandt-Pearce, and N. Gisin, “Roadmap of optical communications,” J. Opt. 18(6), 063002 (2016).
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T. Meany, M. Gräfe, R. Heilmann, A. Perez-Leija, S. Gross, M. J. Steel, M. J. Withford, and A. Szameit, “Laser written circuits for quantum photonics,” Laser Photon. Rev. 9(4), 363–384 (2015).
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V. Ng, J. A. Vaitkus, Z. J. Chaboyer, T. Nguyen, J. M. Dawes, M. J. Withford, A. D. Greentree, and M. J. Steel, “Digital waveguide adiabatic passage part 2: experiment,” Opt. Express 25(3), 2552–2559 (2017).
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R. Menchon-Enrich, A. Benseny, V. Ahufinger, A. D. Greentree, Th. Busch, and J. Mompart, “Spatial adiabatic passage: a review of recent progress,” Rep. Prog. Phys. 79(7), 074401 (2016).
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T. A. Birks, I. Gris-Sánchez, S. Yerolatsitis, S. G. Leon-Saval, and R. R. Thomson, “The photonic lantern,” Adv. Opt. Photonics 7(2), 107–167 (2015).
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Gross, S.

T. Meany, M. Gräfe, R. Heilmann, A. Perez-Leija, S. Gross, M. J. Steel, M. J. Withford, and A. Szameit, “Laser written circuits for quantum photonics,” Laser Photon. Rev. 9(4), 363–384 (2015).
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Heilmann, R.

T. Meany, M. Gräfe, R. Heilmann, A. Perez-Leija, S. Gross, M. J. Steel, M. J. Withford, and A. Szameit, “Laser written circuits for quantum photonics,” Laser Photon. Rev. 9(4), 363–384 (2015).
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M. Heinrich, M. A. Miri, S. Stützer, R. El-Ganainy, S. Nolte, A. Szameit, and D. N. Christodoulides, “Supersymmetric mode converters,” Nat. Commun. 5, 3698 (2014).
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M. A. Miri, M. Heinrich, and D. N. Christodoulides, “Supersymmetric optical waveguides,” Proc. SPIE 8980, 89801F (2014).

M. A. Miri, M. Heinrich, and D. N. Christodoulides, “SUSY-inspired onedimensional transformation optics,” Optica 1(2), 89–95 (2014).
[Crossref]

M. Heinrich, M.A. Miri, S. Stützer, S. Nolte, D. N. Christodoulides, and A. Szameit, “Observation of supersymmetric scattering in photonic lattices,” Opt. Lett. 39(21), 6130 (2014).
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M. A. Miri, M. Heinrich, and D. N. Christodoulides, “Supersymmetry-generated complex optical potentials with real spectra,” Phys. Rev. A 87(4), 043819 (2013).
[Crossref]

M. A. Miri, M. Heinrich, R. El-Ganainy, and D. N. Christodoulides, “Supersymmetric optical structures,” Phys. Rev. Lett. 110(23), 233902 (2013).
[Crossref] [PubMed]

F. Dreisow, M. Ornigotti, A. Szameit, M. Heinrich, R. Keil, S. Nolte, A. Tünnermann, and S. Longhi, “Polychromatic beam splitting by fractional stimulated Raman adiabatic passage,” Appl. Phys. Lett. 95(26), 261102 (2009).
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Huang, B.

Ishizaka, Y.

Jiang, X.

Karlsson, M.

E. Agrell, M. Karlsson, A. R. Chraplyvy, D. J. Richardson, P. M. Krummrich, P. Winzer, K. Roberts, J. K. Fischer, S. J. Savory, B. J. Eggleton, M. Secondini, F. R. Kschischang, A. Lord, J. Prat, I. Tomkos, J. E. Bowers, S. Srinivasan, M. Brandt-Pearce, and N. Gisin, “Roadmap of optical communications,” J. Opt. 18(6), 063002 (2016).
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Kawaguchi, Y.

Keil, R.

F. Dreisow, M. Ornigotti, A. Szameit, M. Heinrich, R. Keil, S. Nolte, A. Tünnermann, and S. Longhi, “Polychromatic beam splitting by fractional stimulated Raman adiabatic passage,” Appl. Phys. Lett. 95(26), 261102 (2009).
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Khare, A.

F. Cooper, A. Khare, and U. Sukhatme, “Supersymmetry and quantum mechanics,” Phys. Rep. 251(5–6), 267–385 (1995).
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Krummrich, P. M.

E. Agrell, M. Karlsson, A. R. Chraplyvy, D. J. Richardson, P. M. Krummrich, P. Winzer, K. Roberts, J. K. Fischer, S. J. Savory, B. J. Eggleton, M. Secondini, F. R. Kschischang, A. Lord, J. Prat, I. Tomkos, J. E. Bowers, S. Srinivasan, M. Brandt-Pearce, and N. Gisin, “Roadmap of optical communications,” J. Opt. 18(6), 063002 (2016).
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E. Agrell, M. Karlsson, A. R. Chraplyvy, D. J. Richardson, P. M. Krummrich, P. Winzer, K. Roberts, J. K. Fischer, S. J. Savory, B. J. Eggleton, M. Secondini, F. R. Kschischang, A. Lord, J. Prat, I. Tomkos, J. E. Bowers, S. Srinivasan, M. Brandt-Pearce, and N. Gisin, “Roadmap of optical communications,” J. Opt. 18(6), 063002 (2016).
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S. Longhi, G. Della Valle, M. Ornigotti, and P. Laporta, “Coherent tunneling by adiabatic passage in an optical waveguide system,” Phys. Rev. B 76(20), 201101(R) (2007).
[Crossref]

Leon-Saval, S. G.

T. A. Birks, I. Gris-Sánchez, S. Yerolatsitis, S. G. Leon-Saval, and R. R. Thomson, “The photonic lantern,” Adv. Opt. Photonics 7(2), 107–167 (2015).
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G. Li, N. Bai, N. Zhao, and C. Xia, “Space-division multiplexing: the next frontier in optical communication,” Adv. Opt. Photonics 6(4), 413–487 (2014).
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Lipson, M.

A. Mohanty, M. Zhang, A. Dutt, S. Ramelow, P. Nussenzveig, and M. Lipson, “Quantum interference between transverse spatial waveguide modes,” Nat. Commun. 8, 14010 (2017).
[Crossref] [PubMed]

L. W. Luo, N. Ophir, C. P. Chen, L. H. Gabrielli, C. B. Poitras, K. Bergmen, and M. Lipson, “WDM-compatible mode-division multiplexing on a silicon chip,” Nat. Commun. 5, 3069 (2014).
[Crossref] [PubMed]

Llobera, A.

R. Menchon-Enrich, A. Llobera, J. Vila-Planas, V. Cadarso, J. Mompart, and V. Ahufinger, “Light spectral filtering based on spatial adiabatic passage,” Light. Sci. Appl. 2, e90 (2013).
[Crossref]

R. Menchon-Enrich, A. Llobera, V. Cadarso, J. Mompart, and V. Ahufinger, “Adiabatic passage of light in CMOS-compatible silicon oxide integrated rib waveguides,” IEEE Photonics Technol. Lett. 24(7), 536 (2012).
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S. Longhi, “Supersymmetric transparent optical intersections,” Opt. Lett. 40(4), 463–466 (2014).
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F. Dreisow, M. Ornigotti, A. Szameit, M. Heinrich, R. Keil, S. Nolte, A. Tünnermann, and S. Longhi, “Polychromatic beam splitting by fractional stimulated Raman adiabatic passage,” Appl. Phys. Lett. 95(26), 261102 (2009).
[Crossref]

S. Longhi, G. Della Valle, M. Ornigotti, and P. Laporta, “Coherent tunneling by adiabatic passage in an optical waveguide system,” Phys. Rev. B 76(20), 201101(R) (2007).
[Crossref]

Lord, A.

E. Agrell, M. Karlsson, A. R. Chraplyvy, D. J. Richardson, P. M. Krummrich, P. Winzer, K. Roberts, J. K. Fischer, S. J. Savory, B. J. Eggleton, M. Secondini, F. R. Kschischang, A. Lord, J. Prat, I. Tomkos, J. E. Bowers, S. Srinivasan, M. Brandt-Pearce, and N. Gisin, “Roadmap of optical communications,” J. Opt. 18(6), 063002 (2016).
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Luo, L. W.

L. W. Luo, N. Ophir, C. P. Chen, L. H. Gabrielli, C. B. Poitras, K. Bergmen, and M. Lipson, “WDM-compatible mode-division multiplexing on a silicon chip,” Nat. Commun. 5, 3069 (2014).
[Crossref] [PubMed]

Meany, T.

T. Meany, M. Gräfe, R. Heilmann, A. Perez-Leija, S. Gross, M. J. Steel, M. J. Withford, and A. Szameit, “Laser written circuits for quantum photonics,” Laser Photon. Rev. 9(4), 363–384 (2015).
[Crossref]

Menchon-Enrich, R.

R. Menchon-Enrich, A. Benseny, V. Ahufinger, A. D. Greentree, Th. Busch, and J. Mompart, “Spatial adiabatic passage: a review of recent progress,” Rep. Prog. Phys. 79(7), 074401 (2016).
[Crossref] [PubMed]

R. Menchon-Enrich, A. Llobera, J. Vila-Planas, V. Cadarso, J. Mompart, and V. Ahufinger, “Light spectral filtering based on spatial adiabatic passage,” Light. Sci. Appl. 2, e90 (2013).
[Crossref]

R. Menchon-Enrich, A. Llobera, V. Cadarso, J. Mompart, and V. Ahufinger, “Adiabatic passage of light in CMOS-compatible silicon oxide integrated rib waveguides,” IEEE Photonics Technol. Lett. 24(7), 536 (2012).
[Crossref]

Miri, M. A.

M. A. Miri, M. Heinrich, and D. N. Christodoulides, “Supersymmetric optical waveguides,” Proc. SPIE 8980, 89801F (2014).

M. Heinrich, M. A. Miri, S. Stützer, R. El-Ganainy, S. Nolte, A. Szameit, and D. N. Christodoulides, “Supersymmetric mode converters,” Nat. Commun. 5, 3698 (2014).
[Crossref] [PubMed]

M. A. Miri, M. Heinrich, and D. N. Christodoulides, “SUSY-inspired onedimensional transformation optics,” Optica 1(2), 89–95 (2014).
[Crossref]

M. A. Miri, M. Heinrich, and D. N. Christodoulides, “Supersymmetry-generated complex optical potentials with real spectra,” Phys. Rev. A 87(4), 043819 (2013).
[Crossref]

M. A. Miri, M. Heinrich, R. El-Ganainy, and D. N. Christodoulides, “Supersymmetric optical structures,” Phys. Rev. Lett. 110(23), 233902 (2013).
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M. A. Miri, “Parity-time and supersymmetry in optics,” Electronic Theses and Dissertations, 697 (2014).

Miri, M.A.

Mohanty, A.

A. Mohanty, M. Zhang, A. Dutt, S. Ramelow, P. Nussenzveig, and M. Lipson, “Quantum interference between transverse spatial waveguide modes,” Nat. Commun. 8, 14010 (2017).
[Crossref] [PubMed]

Mompart, J.

R. Menchon-Enrich, A. Benseny, V. Ahufinger, A. D. Greentree, Th. Busch, and J. Mompart, “Spatial adiabatic passage: a review of recent progress,” Rep. Prog. Phys. 79(7), 074401 (2016).
[Crossref] [PubMed]

R. Menchon-Enrich, A. Llobera, J. Vila-Planas, V. Cadarso, J. Mompart, and V. Ahufinger, “Light spectral filtering based on spatial adiabatic passage,” Light. Sci. Appl. 2, e90 (2013).
[Crossref]

R. Menchon-Enrich, A. Llobera, V. Cadarso, J. Mompart, and V. Ahufinger, “Adiabatic passage of light in CMOS-compatible silicon oxide integrated rib waveguides,” IEEE Photonics Technol. Lett. 24(7), 536 (2012).
[Crossref]

Montemezzani, G.

C. Ciret, V. Coda, A. A. Rangelov, D. N. Neshev, and G. Montemezzani, “Broadband adiabatic light transfer in optically induced waveguide arrays,” Phys. Rev. A 87(1), 013806 (2013).
[Crossref]

Nelson, L. E.

D. J. Richardson, J. M. Fini, and L. E. Nelson, “Space-division multiplexing in optical fibres,” Nat. Photonics 7(5), 354–362 (2013).
[Crossref]

Neshev, D. N.

C. Ciret, V. Coda, A. A. Rangelov, D. N. Neshev, and G. Montemezzani, “Broadband adiabatic light transfer in optically induced waveguide arrays,” Phys. Rev. A 87(1), 013806 (2013).
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Ng, V.

Nguyen, T.

Nolte, S.

M. Heinrich, M.A. Miri, S. Stützer, S. Nolte, D. N. Christodoulides, and A. Szameit, “Observation of supersymmetric scattering in photonic lattices,” Opt. Lett. 39(21), 6130 (2014).
[Crossref] [PubMed]

M. Heinrich, M. A. Miri, S. Stützer, R. El-Ganainy, S. Nolte, A. Szameit, and D. N. Christodoulides, “Supersymmetric mode converters,” Nat. Commun. 5, 3698 (2014).
[Crossref] [PubMed]

F. Dreisow, M. Ornigotti, A. Szameit, M. Heinrich, R. Keil, S. Nolte, A. Tünnermann, and S. Longhi, “Polychromatic beam splitting by fractional stimulated Raman adiabatic passage,” Appl. Phys. Lett. 95(26), 261102 (2009).
[Crossref]

Nussenzveig, P.

A. Mohanty, M. Zhang, A. Dutt, S. Ramelow, P. Nussenzveig, and M. Lipson, “Quantum interference between transverse spatial waveguide modes,” Nat. Commun. 8, 14010 (2017).
[Crossref] [PubMed]

O’Brien, J. L.

J. L. O’Brien, A. Furusawa, and J. Vuckovic, “Photonic quantum technologies,” Nat. Photonics 3(12), 687–695 (2009).
[Crossref]

Ophir, N.

L. W. Luo, N. Ophir, C. P. Chen, L. H. Gabrielli, C. B. Poitras, K. Bergmen, and M. Lipson, “WDM-compatible mode-division multiplexing on a silicon chip,” Nat. Commun. 5, 3069 (2014).
[Crossref] [PubMed]

Ornigotti, M.

F. Dreisow, M. Ornigotti, A. Szameit, M. Heinrich, R. Keil, S. Nolte, A. Tünnermann, and S. Longhi, “Polychromatic beam splitting by fractional stimulated Raman adiabatic passage,” Appl. Phys. Lett. 95(26), 261102 (2009).
[Crossref]

S. Longhi, G. Della Valle, M. Ornigotti, and P. Laporta, “Coherent tunneling by adiabatic passage in an optical waveguide system,” Phys. Rev. B 76(20), 201101(R) (2007).
[Crossref]

Osgood, M.

Ou, H.

Perez-Leija, A.

T. Meany, M. Gräfe, R. Heilmann, A. Perez-Leija, S. Gross, M. J. Steel, M. J. Withford, and A. Szameit, “Laser written circuits for quantum photonics,” Laser Photon. Rev. 9(4), 363–384 (2015).
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Peucheret, C.

Poitras, C. B.

L. W. Luo, N. Ophir, C. P. Chen, L. H. Gabrielli, C. B. Poitras, K. Bergmen, and M. Lipson, “WDM-compatible mode-division multiplexing on a silicon chip,” Nat. Commun. 5, 3069 (2014).
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Prat, J.

E. Agrell, M. Karlsson, A. R. Chraplyvy, D. J. Richardson, P. M. Krummrich, P. Winzer, K. Roberts, J. K. Fischer, S. J. Savory, B. J. Eggleton, M. Secondini, F. R. Kschischang, A. Lord, J. Prat, I. Tomkos, J. E. Bowers, S. Srinivasan, M. Brandt-Pearce, and N. Gisin, “Roadmap of optical communications,” J. Opt. 18(6), 063002 (2016).
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Principe, M.

M. Principe, G. Castaldi, M. Consales, A. Cusano, and V. Galdi, “Supersymmetry-inspired non-Hermitian optical couplers,” Sci. Rep. 5, 8568 (2015).
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A. Mohanty, M. Zhang, A. Dutt, S. Ramelow, P. Nussenzveig, and M. Lipson, “Quantum interference between transverse spatial waveguide modes,” Nat. Commun. 8, 14010 (2017).
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N. V. Vitanov, A. A. Rangelov, B. W. Shore, and K. Bergmann, “Stimulated Raman adiabatic passage in physics, chemistry, and beyond,” Rev. Mod. Phys. 89(1), 015006 (2017).
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C. Ciret, V. Coda, A. A. Rangelov, D. N. Neshev, and G. Montemezzani, “Broadband adiabatic light transfer in optically induced waveguide arrays,” Phys. Rev. A 87(1), 013806 (2013).
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Richardson, D. J.

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E. Agrell, M. Karlsson, A. R. Chraplyvy, D. J. Richardson, P. M. Krummrich, P. Winzer, K. Roberts, J. K. Fischer, S. J. Savory, B. J. Eggleton, M. Secondini, F. R. Kschischang, A. Lord, J. Prat, I. Tomkos, J. E. Bowers, S. Srinivasan, M. Brandt-Pearce, and N. Gisin, “Roadmap of optical communications,” J. Opt. 18(6), 063002 (2016).
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D. J. Richardson, J. M. Fini, and L. E. Nelson, “Space-division multiplexing in optical fibres,” Nat. Photonics 7(5), 354–362 (2013).
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Roberts, K.

E. Agrell, M. Karlsson, A. R. Chraplyvy, D. J. Richardson, P. M. Krummrich, P. Winzer, K. Roberts, J. K. Fischer, S. J. Savory, B. J. Eggleton, M. Secondini, F. R. Kschischang, A. Lord, J. Prat, I. Tomkos, J. E. Bowers, S. Srinivasan, M. Brandt-Pearce, and N. Gisin, “Roadmap of optical communications,” J. Opt. 18(6), 063002 (2016).
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Savory, S. J.

E. Agrell, M. Karlsson, A. R. Chraplyvy, D. J. Richardson, P. M. Krummrich, P. Winzer, K. Roberts, J. K. Fischer, S. J. Savory, B. J. Eggleton, M. Secondini, F. R. Kschischang, A. Lord, J. Prat, I. Tomkos, J. E. Bowers, S. Srinivasan, M. Brandt-Pearce, and N. Gisin, “Roadmap of optical communications,” J. Opt. 18(6), 063002 (2016).
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Secondini, M.

E. Agrell, M. Karlsson, A. R. Chraplyvy, D. J. Richardson, P. M. Krummrich, P. Winzer, K. Roberts, J. K. Fischer, S. J. Savory, B. J. Eggleton, M. Secondini, F. R. Kschischang, A. Lord, J. Prat, I. Tomkos, J. E. Bowers, S. Srinivasan, M. Brandt-Pearce, and N. Gisin, “Roadmap of optical communications,” J. Opt. 18(6), 063002 (2016).
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Shore, B. W.

N. V. Vitanov, A. A. Rangelov, B. W. Shore, and K. Bergmann, “Stimulated Raman adiabatic passage in physics, chemistry, and beyond,” Rev. Mod. Phys. 89(1), 015006 (2017).
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K. Bergmann, H. Theuer, and B. W. Shore, “Coherent population transfer among quantum states of atoms and molecules,” Rev. Mod. Phys. 70(3), 1003–1025 (1998).
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Z. Zhang, Y. Yu, and F. Songnian, “Broadband on-chip mode-division multiplexer based on adiabatic couplers and symmetric Y-junction,” IEEE Photonics J. 9(2), 6600406 (2017).

Souhan, B.

Srinivasan, S.

E. Agrell, M. Karlsson, A. R. Chraplyvy, D. J. Richardson, P. M. Krummrich, P. Winzer, K. Roberts, J. K. Fischer, S. J. Savory, B. J. Eggleton, M. Secondini, F. R. Kschischang, A. Lord, J. Prat, I. Tomkos, J. E. Bowers, S. Srinivasan, M. Brandt-Pearce, and N. Gisin, “Roadmap of optical communications,” J. Opt. 18(6), 063002 (2016).
[Crossref]

Steel, M. J.

V. Ng, J. A. Vaitkus, Z. J. Chaboyer, T. Nguyen, J. M. Dawes, M. J. Withford, A. D. Greentree, and M. J. Steel, “Digital waveguide adiabatic passage part 2: experiment,” Opt. Express 25(3), 2552–2559 (2017).
[Crossref]

T. Meany, M. Gräfe, R. Heilmann, A. Perez-Leija, S. Gross, M. J. Steel, M. J. Withford, and A. Szameit, “Laser written circuits for quantum photonics,” Laser Photon. Rev. 9(4), 363–384 (2015).
[Crossref]

Stützer, S.

M. Heinrich, M. A. Miri, S. Stützer, R. El-Ganainy, S. Nolte, A. Szameit, and D. N. Christodoulides, “Supersymmetric mode converters,” Nat. Commun. 5, 3698 (2014).
[Crossref] [PubMed]

M. Heinrich, M.A. Miri, S. Stützer, S. Nolte, D. N. Christodoulides, and A. Szameit, “Observation of supersymmetric scattering in photonic lattices,” Opt. Lett. 39(21), 6130 (2014).
[Crossref] [PubMed]

Sukhatme, U.

F. Cooper, A. Khare, and U. Sukhatme, “Supersymmetry and quantum mechanics,” Phys. Rep. 251(5–6), 267–385 (1995).
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Szameit, A.

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M. Heinrich, M. A. Miri, S. Stützer, R. El-Ganainy, S. Nolte, A. Szameit, and D. N. Christodoulides, “Supersymmetric mode converters,” Nat. Commun. 5, 3698 (2014).
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T. A. Birks, I. Gris-Sánchez, S. Yerolatsitis, S. G. Leon-Saval, and R. R. Thomson, “The photonic lantern,” Adv. Opt. Photonics 7(2), 107–167 (2015).
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E. Agrell, M. Karlsson, A. R. Chraplyvy, D. J. Richardson, P. M. Krummrich, P. Winzer, K. Roberts, J. K. Fischer, S. J. Savory, B. J. Eggleton, M. Secondini, F. R. Kschischang, A. Lord, J. Prat, I. Tomkos, J. E. Bowers, S. Srinivasan, M. Brandt-Pearce, and N. Gisin, “Roadmap of optical communications,” J. Opt. 18(6), 063002 (2016).
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Tünnermann, A.

F. Dreisow, M. Ornigotti, A. Szameit, M. Heinrich, R. Keil, S. Nolte, A. Tünnermann, and S. Longhi, “Polychromatic beam splitting by fractional stimulated Raman adiabatic passage,” Appl. Phys. Lett. 95(26), 261102 (2009).
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Uematsu, T.

Vaitkus, J. A.

Vila-Planas, J.

R. Menchon-Enrich, A. Llobera, J. Vila-Planas, V. Cadarso, J. Mompart, and V. Ahufinger, “Light spectral filtering based on spatial adiabatic passage,” Light. Sci. Appl. 2, e90 (2013).
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Vitanov, N. V.

N. V. Vitanov, A. A. Rangelov, B. W. Shore, and K. Bergmann, “Stimulated Raman adiabatic passage in physics, chemistry, and beyond,” Rev. Mod. Phys. 89(1), 015006 (2017).
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J. L. O’Brien, A. Furusawa, and J. Vuckovic, “Photonic quantum technologies,” Nat. Photonics 3(12), 687–695 (2009).
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E. Agrell, M. Karlsson, A. R. Chraplyvy, D. J. Richardson, P. M. Krummrich, P. Winzer, K. Roberts, J. K. Fischer, S. J. Savory, B. J. Eggleton, M. Secondini, F. R. Kschischang, A. Lord, J. Prat, I. Tomkos, J. E. Bowers, S. Srinivasan, M. Brandt-Pearce, and N. Gisin, “Roadmap of optical communications,” J. Opt. 18(6), 063002 (2016).
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T. Meany, M. Gräfe, R. Heilmann, A. Perez-Leija, S. Gross, M. J. Steel, M. J. Withford, and A. Szameit, “Laser written circuits for quantum photonics,” Laser Photon. Rev. 9(4), 363–384 (2015).
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[Crossref]

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Xing, J.

Xu, J.

Yang, J.

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T. A. Birks, I. Gris-Sánchez, S. Yerolatsitis, S. G. Leon-Saval, and R. R. Thomson, “The photonic lantern,” Adv. Opt. Photonics 7(2), 107–167 (2015).
[Crossref]

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Z. Zhang, Y. Yu, and F. Songnian, “Broadband on-chip mode-division multiplexer based on adiabatic couplers and symmetric Y-junction,” IEEE Photonics J. 9(2), 6600406 (2017).

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Z. Zhang, Y. Yu, and F. Songnian, “Broadband on-chip mode-division multiplexer based on adiabatic couplers and symmetric Y-junction,” IEEE Photonics J. 9(2), 6600406 (2017).

Zhao, N.

G. Li, N. Bai, N. Zhao, and C. Xia, “Space-division multiplexing: the next frontier in optical communication,” Adv. Opt. Photonics 6(4), 413–487 (2014).
[Crossref]

Zhou, L.

Adv. Opt. Photonics (2)

G. Li, N. Bai, N. Zhao, and C. Xia, “Space-division multiplexing: the next frontier in optical communication,” Adv. Opt. Photonics 6(4), 413–487 (2014).
[Crossref]

T. A. Birks, I. Gris-Sánchez, S. Yerolatsitis, S. G. Leon-Saval, and R. R. Thomson, “The photonic lantern,” Adv. Opt. Photonics 7(2), 107–167 (2015).
[Crossref]

Appl. Phys. Lett. (1)

F. Dreisow, M. Ornigotti, A. Szameit, M. Heinrich, R. Keil, S. Nolte, A. Tünnermann, and S. Longhi, “Polychromatic beam splitting by fractional stimulated Raman adiabatic passage,” Appl. Phys. Lett. 95(26), 261102 (2009).
[Crossref]

IEEE Photonics J. (1)

Z. Zhang, Y. Yu, and F. Songnian, “Broadband on-chip mode-division multiplexer based on adiabatic couplers and symmetric Y-junction,” IEEE Photonics J. 9(2), 6600406 (2017).

IEEE Photonics Technol. Lett. (1)

R. Menchon-Enrich, A. Llobera, V. Cadarso, J. Mompart, and V. Ahufinger, “Adiabatic passage of light in CMOS-compatible silicon oxide integrated rib waveguides,” IEEE Photonics Technol. Lett. 24(7), 536 (2012).
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E. Agrell, M. Karlsson, A. R. Chraplyvy, D. J. Richardson, P. M. Krummrich, P. Winzer, K. Roberts, J. K. Fischer, S. J. Savory, B. J. Eggleton, M. Secondini, F. R. Kschischang, A. Lord, J. Prat, I. Tomkos, J. E. Bowers, S. Srinivasan, M. Brandt-Pearce, and N. Gisin, “Roadmap of optical communications,” J. Opt. 18(6), 063002 (2016).
[Crossref]

Laser Photon. Rev. (1)

T. Meany, M. Gräfe, R. Heilmann, A. Perez-Leija, S. Gross, M. J. Steel, M. J. Withford, and A. Szameit, “Laser written circuits for quantum photonics,” Laser Photon. Rev. 9(4), 363–384 (2015).
[Crossref]

Light. Sci. Appl. (1)

R. Menchon-Enrich, A. Llobera, J. Vila-Planas, V. Cadarso, J. Mompart, and V. Ahufinger, “Light spectral filtering based on spatial adiabatic passage,” Light. Sci. Appl. 2, e90 (2013).
[Crossref]

Nat. Commun. (3)

M. Heinrich, M. A. Miri, S. Stützer, R. El-Ganainy, S. Nolte, A. Szameit, and D. N. Christodoulides, “Supersymmetric mode converters,” Nat. Commun. 5, 3698 (2014).
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L. W. Luo, N. Ophir, C. P. Chen, L. H. Gabrielli, C. B. Poitras, K. Bergmen, and M. Lipson, “WDM-compatible mode-division multiplexing on a silicon chip,” Nat. Commun. 5, 3069 (2014).
[Crossref] [PubMed]

A. Mohanty, M. Zhang, A. Dutt, S. Ramelow, P. Nussenzveig, and M. Lipson, “Quantum interference between transverse spatial waveguide modes,” Nat. Commun. 8, 14010 (2017).
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Nat. Photonics (2)

D. J. Richardson, J. M. Fini, and L. E. Nelson, “Space-division multiplexing in optical fibres,” Nat. Photonics 7(5), 354–362 (2013).
[Crossref]

J. L. O’Brien, A. Furusawa, and J. Vuckovic, “Photonic quantum technologies,” Nat. Photonics 3(12), 687–695 (2009).
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D. J. Richardson, “New optical fibres for high-capacity optical communications,” Philos. Trans. R. Soc. Lond. A 374(2062), 20140441 (2016).
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M. A. Miri, M. Heinrich, and D. N. Christodoulides, “Supersymmetry-generated complex optical potentials with real spectra,” Phys. Rev. A 87(4), 043819 (2013).
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M. A. Miri, M. Heinrich, R. El-Ganainy, and D. N. Christodoulides, “Supersymmetric optical structures,” Phys. Rev. Lett. 110(23), 233902 (2013).
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M. A. Miri, M. Heinrich, and D. N. Christodoulides, “Supersymmetric optical waveguides,” Proc. SPIE 8980, 89801F (2014).

Rep. Prog. Phys. (1)

R. Menchon-Enrich, A. Benseny, V. Ahufinger, A. D. Greentree, Th. Busch, and J. Mompart, “Spatial adiabatic passage: a review of recent progress,” Rep. Prog. Phys. 79(7), 074401 (2016).
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K. Bergmann, H. Theuer, and B. W. Shore, “Coherent population transfer among quantum states of atoms and molecules,” Rev. Mod. Phys. 70(3), 1003–1025 (1998).
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Sci. Rep. (1)

M. Principe, G. Castaldi, M. Consales, A. Cusano, and V. Galdi, “Supersymmetry-inspired non-Hermitian optical couplers,” Sci. Rep. 5, 8568 (2015).
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M. A. Miri, “Parity-time and supersymmetry in optics,” Electronic Theses and Dissertations, 697 (2014).

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M. Dine, Supersymmetry and string theory: beyond the standard model (Cambridge University, 2007).
[Crossref]

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Figures (4)

Fig. 1
Fig. 1 (a) Schematic representation of the proposed device viewed from above. The width of the waveguide cores is d = 4 μm, the minimum separation between waveguides is xmin = 7 μm, the radius of curvature of the external waveguides is r = 3.5 m, the spatial delay between their centers is δ = 4 mm and the total length along z is D = 18 mm. Refractive index distribution and transverse mode profiles of each waveguide at zc in (a) for (b) the SI structure and (c) the SUSY structure.
Fig. 2
Fig. 2 (a) Spatial sequence of the coupling coefficients for m = 1 in the considered device of Fig. 1(a) with the SI structure. (b) Evolution of the TE1 mode intensity along z in each waveguide of the SI structure as predicted by the coupled-mode equations. Parameter values: λ = 1.55 μm, r = 3.5 m, δ = 4 mm, xmin = 7 μm, D = 18 mm, Ω̃1 = 263 mm−1 and l1 = 1.66 μm.
Fig. 3
Fig. 3 Numerical simulations of light intensity propagation along z when one injects an equally weighted superposition of the fundamental and the first excited modes in the left waveguide of (a) the SI structure and (b) the SUSY structure of Fig. 1. Parameter values: λ = 1.55 μm, d = 4 μm, r = 3.5 m, δ = 4 mm, xmin = 7 μm, and D = 18 mm.
Fig. 4
Fig. 4 Demultiplexing fidelity calculated through numerical simulations when we inject an equally weighted superposition of the fundamental and the first excited modes in the left waveguide for different wavelengths and minimum separation between waveguides for (a) the SUSY structure of Fig. 1 and (b) the straight SUSY structure of total length = 2 mm.

Equations (11)

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[ 2 x 2 + 2 z 2 + k 0 2 n j 2 ( x ) ] E y j ( x , z ) = 0 ,
E y j ( x , z ) = m a m j ( z ) f m j ( x ) exp [ i β m j z ] ,
i d dz ( a m L a m C a m R ) = 1 2 ( 2 β m L Ω m LC 0 Ω m LC 2 β m C Ω m RC 0 Ω m RC 2 β m R ) ( a m L a m C a m R ) ,
D ( Θ m ) = ( cos ( Θ m ) 0 sin ( Θ m ) ) ,
Ω m LC , RC ( z ) Ω m ( x min , λ ) exp [ ( z D / 2 ± δ / 2 ) 2 2 r l m ( λ ) ] ,
δ ( Ω m LC ) 2 + ( Ω m RC ) 2 > A ,
C f m C ( x ) = ( β m C ) 2 f m C ( x ) ,
W ( x ) = d d x ln f 0 C ( x ) .
n C ( p ) ( x ) = 1 k 0 ( β 0 C ) 2 = W ( x ) 2 dW ( x ) dx .
n C ( p ) ( x ) = { n core 2 2 ( k x k 0 ) 2 sec 2 ( k x x ) , | x | d / 2 n clad , | x | > d / 2 ,
= I 0 , out L I 0 , in L I 1 , out R I 1 , in L = I ˜ 0 L I ˜ 1 R ,

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