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Cited by 211Nonlinear Photonic SystemsRandom lasers and scattering mediaPhotorefractive and Nonlinear Optics

Discrete Talbot Effect in Waveguide Arrays

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Iwanow, Robert, May-Arrioja, Daniel A., Christodoulides, Demetrios N., Stegeman, George I., Min, Yoohong, Sohler, Wolfgang·2005·Physical Review Letters
DOI 10.1103/physrevlett.95.053902
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Abstract

We report the first observation of discrete Talbot revivals in one-dimensional waveguide arrays. Unlike continuous systems where the Talbot self-imaging effect always occurs irrespective of the pattern period, in discrete configurations this process is only possible for a specific set of periodicities. Recurrence of different input periodic patterns is observed in good agreement with theory.

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  • In a finite 1D array, the propagation equation is fulfilled by a set of M propagation-invariant orthonormal supermodes with the given shape and propagation constant.

    “One can show [55] that this equation is fulfilled by a set of M propagation invariant orthonormal supermodes”

    From Discrete optics in femtosecond-laser-written photonic structures (2010) · cites this paper as [55]

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References 29 · Cited by 211

Authors
Iwanow, R., May-Arrioja, D. A., Christodoulides, D. N., Stegeman, G. I., Min, Y., & Sohler, W.
Affiliations
University of Central Florida (US)
ORCID
Venue
Physical Review Letters
Publisher
American Physical Society (APS)
Published
2005-07-25
Volume
95
Issue
5
Pages
053902-053902
ISSN
  • 0031-9007 (ISSN-L)
  • 1079-7114
DOI
10.1103/physrevlett.95.053902
OpenAlex
W2077531556
Cited by
211
References
29
Citations by year
2026: 5 · 2025: 7 · 2024: 11 · 2023: 10 · 2022: 6 · 2021: 6 · 2020: 15 · 2019: 11 · 2018: 9 · 2017: 14 · 2016: 6 · 2015: 13 · 2014: 13 · 2013: 5 · 2012: 15
FWCI
7.28
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical Review Letters (publishedVersion)
  • PubMed (publishedVersion)
  • Journal of International Crisis and Risk Communication Research (submittedVersion)
Topics
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Nonlinear Photonic Systems
  • Physical Sciences › Physics and Astronomy › Acoustics and Ultrasonics › Random lasers and scattering media
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Photorefractive and Nonlinear Optics
Keywords
Talbot effect, waveguide arrays, one-dimensional waveguide arrays, periodic patterns, discrete diffraction, periodicity conditions

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