Solitary nonlinear Bloch waves

Vladmir N. Serkin; Tatyana L. Belyaeva; Igor V. Alexandrov; Gaston Melo Melchor

doi:10.1117/12.424708

12 April 2001 Solitary nonlinear Bloch waves

Vladmir N. Serkin, Tatyana L. Belyaeva, Igor V. Alexandrov, Gaston Melo Melchor

Proceedings Volume 4271, Optical Pulse and Beam Propagation III; (2001) https://doi.org/10.1117/12.424708
Event: Photonics West 2001 - LASE, 2001, San Jose, CA, United States

Abstract

The nonlinear Bloch's theorem for the fundamental and high-order Schrödinger solitons in periodic dispersive and nonlinear structures has been proven. It is shown that bright and dark solitary nonlinear Bloch's waves exist only under certain conditions and that the parameter functions describing dispersion and nonlinearity periodic inhomogeneities cannot be chosen independently. The formation, interaction and stability of the fundamental and high-order solitary nonlinear Bloch waves have been investigated.

Citation Download Citation

Vladmir N. Serkin, Tatyana L. Belyaeva, Igor V. Alexandrov, and Gaston Melo Melchor "Solitary nonlinear Bloch waves", Proc. SPIE 4271, Optical Pulse and Beam Propagation III, (12 April 2001); https://doi.org/10.1117/12.424708

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