Cited by 1,692Nonlinear Photonic SystemsQuantum Mechanics and Non-Hermitian PhysicsRandom lasers and scattering media

Discretizing light behaviour in linear and nonlinear waveguide lattices

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Christodoulides, Demetrios N., Lederer, Falk, Silberberg, Yaron·2003·Nature

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.

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Crossref · 10.1038/nature01936

Cites

59 of 59 references verified0 citation errors · 0 not checkable

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  • For a periodic array of identical equidistant waveguides with two indistinguishable photons injected in central waveguide n=0, each photon propagates transversely giving a discrete diffraction pattern.

    “Each photon propagates transversely in the array, giving rise to a so-called discrete diffraction pattern [7].”

    From Tailoring quantum walks in integrated photonic lattices (2025) · cites this paper as [7]

  • Arrays of coupled waveguides enable photons to interfere continuously across the entire structure.

    “Unlike discrete photonic circuits, which manipulate photons step-by-step using a series of optical elements, arrays of coupled waveguides enable photons to interfere continuously across the entire structure.”

    From Tailoring quantum walks in integrated photonic lattices (2025) · cites this paper as [7]

  • Lattices of evanescently coupled waveguides are a unique discrete physical system, not only a model system for comparative investigation of discreteness.

    “lattices of evanescently coupled waveguides are not just a simple model system for a comparative investigation of discreteness, but constitute a unique discrete physical system on their own as well [2].”

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Authors
Christodoulides, D. N., Lederer, F., & Silberberg, Y.
Affiliations
  • University of Central Florida (US)
  • Friedrich Schiller University Jena (DE)
  • Weizmann Institute of Science (IL)
Venue
Nature
Published
2003-08
Volume
424
Issue
6950
Pages
817-823
ISSN
  • 0028-0836 (ISSN-L)
  • 1476-4687
OpenAlex
W2166757146
Cited by
1,692
References
59
Citations by year
2026: 59 · 2025: 63 · 2024: 52 · 2023: 50 · 2022: 50 · 2021: 60 · 2020: 55 · 2019: 61 · 2018: 53 · 2017: 65 · 2016: 56 · 2015: 75 · 2014: 83 · 2013: 77 · 2012: 88
FWCI
55.80
Type
journal article
Language
en
Open access
Locations
  • Nature (publishedVersion)
  • PubMed (publishedVersion)
  • Journal of International Crisis and Risk Communication Research (submittedVersion)
  • RePEc: Research Papers in Economics (submittedVersion)
Topics
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Nonlinear Photonic Systems
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Non-Hermitian Physics
  • Physical Sciences › Physics and Astronomy › Acoustics and Ultrasonics › Random lasers and scattering media
Keywords
waveguide arrays, nonlinear optics, discrete solitons, diffraction-free propagation, optical switching, light routing

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