Observation of discrete gap solitons in binary waveguide arrays
Open accessAbstract
We report an experimental study of discrete gap solitons in binary arrays of optical waveguides. We observe self-focusing indicating soliton generation when the inclination angle of an input beam is slightly above the Bragg angle and show that the propagation direction of the emerging gap soliton is influenced by the effect of interband momentum exchange.
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In the tight-binding approximation, light transport in the binary lattice is described by coupled-mode equations for the modal field amplitudes c_n in the various waveguides.
“In the tight-binding approximation, light transport in the binary lattice is described by coupled-mode equations for the modal field amplitudes c n in the various waveguides [17,20,21]”
From Photonic analog of Zitterbewegung in binary waveguide arrays (2010) · cites this paper as [20]
In the passage labeled Abstract (page unavailable), the paper describes light propagation in a binary waveguide array, but models it with a normalized nonlinear Schrödinger equation for the field envelope E(x,z). It does not present a tight-binding approximation or coupled-mode equations for waveguide amplitudes c_n, so the claimed modeling detail is unsupported. (LLM, conf=0.77)
Experimental — accuracy not yet measuredThe tight-binding model supports two minibands, whose dispersion curves are obtained by the plane-wave Ansatz.
“The tight-binding model (2) supports two minibands, whose dispersion curves are readily obtained by the plane-wave Ansatz c n ( q ) ∼ exp( iqna -iωz ) and read [20]”
From Photonic analog of Zitterbewegung in binary waveguide arrays (2010) · cites this paper as [20]
The discussion of the wave spectrum and Fig. 1(b) describe first- and second-band Bloch-wave dispersion curves. But the paper models propagation with a continuous nonlinear Schrödinger equation, not the cited tight-binding model, and does not derive its dispersion curves using the stated discrete plane-wave ansatz. The copy gives no page number for these passages. (LLM, conf=0.85)
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References 10 · Cited by 66
Research works printed but not linked: 9
- [1]1. D. N. Christodoulides and R. I. Joseph, Opt. Lett. 13, 794 (1988).
- [2]2. H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, Phys. Rev. Lett. 81, 3383 (1998).
- [3]3. A. A. Sukhorukov and Yu. S. Kivshar, Opt. Lett. 27, 2112 (2002).
- [4]4. A. A. Sukhorukov and Yu. S. Kivshar, Opt. Lett. 28, 2345 (2003).
- [5]5. D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, Phys. Rev. Lett. 92, 093904 (2004).
- [7]7. A. A. Sukhorukov, D. Neshev, W. Krolikowski, and Yu. S. Kivshar, Phys. Rev. Lett. 92, 093901 (2004).
- [8]8. J. Feng, Opt. Lett. 18, 1302 (1993).
- [9]9. D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 90, 253902 (2003).
- [10]10. R. Morandotti, H. S. Eisenberg, Y. Silberberg, M. Sorel, and J. S. Aitchison, Phys. Rev. Lett. 86, 3296 (2001).
- Authors
- Morandotti, R., Mandelik, D., Silberberg, Y., Aitchison, J. S., Sorel, M., Christodoulides, D. N., Sukhorukov, A. A., & Kivshar, Y. S.
- Affiliations
- Institut National de la Recherche Scientifique (CA)
- Weizmann Institute of Science (IL)
- University of Toronto (CA)
- University of Glasgow (GB)
- University of Central Florida (US)
- Australian National University (AU)
- ORCID
- Venue
- Optics Letters
- Publisher
- Optica Publishing Group
- Published
- 2004-12-15
- Volume
- 29
- Issue
- 24
- Pages
- 2890
- ISSN
- 0146-9592 (ISSN-L)
- 1539-4794
- OpenAlex
- W1996038243
- Semantic Scholar
- d0a93645bc0477cc451cb0cb83f08f14847f469a
- Cited by
- 66
- References
- 10
- Citations by year
- 2025: 2 · 2024: 1 · 2023: 2 · 2022: 1 · 2020: 1 · 2019: 2 · 2018: 1 · 2017: 5 · 2015: 6 · 2014: 2 · 2013: 3 · 2012: 4
- FWCI
- 3.17
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Optics Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Journal of International Crisis and Risk Communication Research (submittedVersion)
- ANU Open Research (Australian National University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Nonlinear Photonic Systems
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Nonlinear Waves and Solitons
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Photorefractive and Nonlinear Optics
- Keywords
- optical waveguides, self-focusing, Bragg angle, nonlinear optics
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