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Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays
Abstract
We investigate the self-trapping phenomenon in one-dimensional nonlinear waveguide arrays. We discuss various approximate analytical descriptions of the discrete self-trapped solutions. We analyze the packing, steering, and collision properties of these solutions, by means of a variational approach and soliton perturbation theory. We compare the analytical and numerical results. \textcopyright{} 1996 The American Physical Society.
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Citations
Cited by
Discretizing light behaviour in linear and nonlinear waveguide lattices
Christodoulides, D. N., Lederer, F., & Silberberg, Y. (2003) · Nature · doi:10.1038/nature01936 · Cited by 1,692
Self-citationLederer, F., Stegeman, G. I., Christodoulides, D. N., Assanto, G., Segev, M., & Silberberg, Y. (2008) · Physics Reports · doi:10.1016/j.physrep.2008.04.004 · Cited by 1,180
Self-citationDiscrete solitons in photorefractive optically induced photonic lattices
Efremidis, N. K., Sears, S., Christodoulides, D. N., Fleischer, J. W., & Segev, M. (2002) · Physical Review E · doi:10.1103/physreve.66.046602 · Cited by 609
Observation of Discrete Solitons in Optically Induced Real Time Waveguide Arrays
Fleischer, J. W., Carmon, T., Segev, M., Efremidis, N. K., & Christodoulides, D. N. (2003) · Physical Review Letters · doi:10.1103/physrevlett.90.023902 · Cited by 596
Optical Bloch Oscillations in Temperature Tuned Waveguide Arrays
Pertsch, T., Dannberg, P., Elflein, W., Bräuer, A., & Lederer, F. (1999) · Physical Review Letters · doi:10.1103/physrevlett.83.4752 · Cited by 587
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Metadata
- Authors
- Aceves, A. B., De Angelis, C., Peschel, T., Muschall, R., Lederer, F., Trillo, S., & Wabnitz, S.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 1996-01-01
- Volume
- 53
- Issue
- 1
- Pages
- 1172-1189
- ISSN
- 1063-651X (ISSN-L)
- 1095-3787
- OpenAlex
- W2071916382
- Cited by
- 311
- References
- 0
- FWCI
- 12.64
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays. https://app.cochat.ai/papers/10.1103/physreve.53.1172
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- Aceves, A. B., De Angelis, C., Peschel, T., Muschall, R., Lederer, F., Trillo, S., & Wabnitz, S. (1996). Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays. Physical Review E. https://doi.org/10.1103/physreve.53.1172
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