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Discretizing light behaviour in linear and nonlinear waveguide lattices

Author

Listed:
  • Demetrios N. Christodoulides

    (School of Optics/CREOL, University of Central Florida)

  • Falk Lederer

    (Friedrich-Schiller-Universität Jena)

  • Yaron Silberberg

    (The Weizmann Institute of Science)

Abstract

Light propagating in linear and nonlinear waveguide lattices exhibits behaviour characteristic of that encountered in discrete systems. The diffraction properties of these systems can be engineered, which opens up new possibilities for controlling the flow of light that would have been otherwise impossible in the bulk: these effects can be exploited to achieve diffraction-free propagation and minimize the power requirements for nonlinear processes. In two-dimensional networks of waveguides, self-localized states—or discrete solitons—can travel along 'wire-like' paths and can be routed to any destination port. Such possibilities may be useful for photonic switching architectures.

Suggested Citation

  • Demetrios N. Christodoulides & Falk Lederer & Yaron Silberberg, 2003. "Discretizing light behaviour in linear and nonlinear waveguide lattices," Nature, Nature, vol. 424(6950), pages 817-823, August.
    • Handle: RePEc:nat:nature:v:424:y:2003:i:6950:d:10.1038_nature01936
    DOI: 10.1038/nature01936
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    Citations

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    Cited by:

    1. Chen, Guanwei & Ma, Shiwang, 2014. "Homoclinic solutions of discrete nonlinear Schrödinger equations with asymptotically or super linear terms," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 787-798.
    2. Adrián Espínola-Rocha, J. & Kevrekidis, P.G., 2009. "Thresholds for soliton creation in the Ablowitz–Ladik lattice," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(4), pages 693-706.
    3. Kartashov, Yaroslav V., 2023. "Vortex solitons in large-scale waveguide arrays with adjustable discrete rotational symmetry," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    4. Abbagari, Souleymanou & Houwe, Alphonse & Akinyemi, Lanre & Saliou, Youssoufa & Bouetou, Thomas Bouetou, 2022. "Modulation instability gain and discrete soliton interaction in gyrotropic molecular chain," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    5. Göksel, İzzet & Antar, Nalan & Bakırtaş, İlkay, 2018. "Two-dimensional solitons in cubic-saturable media with PT-symmetric lattices," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 83-89.
    6. Li, S.R. & Bao, Y.Y. & Liu, Y.H. & Xu, T.F., 2022. "Bright solitons in fractional coupler with spatially periodical modulated nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    7. Zhaohui Dong & Xiaoxiong Wu & Yiwen Yang & Penghong Yu & Xianfeng Chen & Luqi Yuan, 2024. "Temporal multilayer structures in discrete physical systems towards arbitrary-dimensional non-Abelian Aharonov-Bohm interferences," Nature Communications, Nature, vol. 15(1), pages 1-12, December.
    8. Midya Parto & Christian Leefmans & James Williams & Franco Nori & Alireza Marandi, 2023. "Non-Abelian effects in dissipative photonic topological lattices," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
    9. Chengzhi Qin & Han Ye & Shulin Wang & Lange Zhao & Menglin Liu & Yinglan Li & Xinyuan Hu & Chenyu Liu & Bing Wang & Stefano Longhi & Peixiang Lu, 2024. "Observation of discrete-light temporal refraction by moving potentials with broken Galilean invariance," Nature Communications, Nature, vol. 15(1), pages 1-11, December.
    10. Eric Cereceda-López & Alexander P. Antonov & Artem Ryabov & Philipp Maass & Pietro Tierno, 2023. "Overcrowding induces fast colloidal solitons in a slowly rotating potential landscape," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
    11. Yang Yang & Robert J. Chapman & Ben Haylock & Francesco Lenzini & Yogesh N. Joglekar & Mirko Lobino & Alberto Peruzzo, 2024. "Programmable high-dimensional Hamiltonian in a photonic waveguide array," Nature Communications, Nature, vol. 15(1), pages 1-7, December.
    12. Bao, Y.Y. & Li, S.R. & Liu, Y.H. & Xu, T.F., 2022. "Gap solitons and nonlinear Bloch waves in fractional quantum coupler with periodic potential," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).

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