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Theory of Incoherent Self-Focusing in Biased Photorefractive Media
Abstract
A theory describing propagation and self-focusing of partially spatially incoherent light beams in nonlinear media is developed. It is shown that this process is effectively governed by an infinite set of coupled nonlinear Schr\"odinger-like equations, provided they are initially appropriately weighted with respect to the incoherent angular power spectrum of the source. The particular case of spatially incoherent beam propagation in biased photorefractive media is considered in detail. Numerical simulations indicate that spatial compression as well as self-trapped states are possible under appropriate conditions. Our results are in good agreement with recent experimental observations.
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Cites
Optical Coherence and Quantum Optics
Mandel, L., & Wolf, E. (1995) · doi:10.1017/cbo9781139644105 · Cited by 8,356
Cited by
Lederer, 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-citationOptical spatial solitons: historical overview and recent advances
Chen, Z., Segev, M., & Christodoulides, D. N. (2012) · Reports on Progress in Physics · doi:10.1088/0034-4885/75/8/086401 · Cited by 514
Self-citationMetasurface-enabled on-chip multiplexed diffractive neural networks in the visible
Luo, X., Hu, Y., Ou, X., Li, X., Lai, J., Liu, N., Cheng, X., Pan, A., & Duan, H. (2022) · Light: Science & Applications · doi:10.1038/s41377-022-00844-2 · Cited by 335
Picozzi, A., Garnier, J., Hansson, T., Suret, P., Randoux, S., Millot, G., & Christodoulides, D. N. (2014) · Physics Reports · doi:10.1016/j.physrep.2014.03.002 · Cited by 275
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Metadata
- Authors
- Christodoulides, D. N., Coskun, T. H., Mitchell, M., & Segev, M.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1997-01-27
- Volume
- 78
- Issue
- 4
- Pages
- 646-649
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2116937824
- Cited by
- 333
- References
- 1
- FWCI
- 14.64
- Type
- journal article
- Language
- en
- Open access
- closed
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- Christodoulides, D. N., Coskun, T. H., Mitchell, M., & Segev, M. (1997). Theory of Incoherent Self-Focusing in Biased Photorefractive Media. Physical Review Letters. https://doi.org/10.1103/physrevlett.78.646
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