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Proceedings Paper

Solitary nonlinear Bloch waves
Author(s): Vladmir N. Serkin; Tatyana L. Belyaeva; Igor V. Alexandrov; Gaston Melo Melchor
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Paper 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.

Paper Details

Date Published: 12 April 2001
PDF: 12 pages
Proc. SPIE 4271, Optical Pulse and Beam Propagation III, (12 April 2001); doi: 10.1117/12.424708
Show Author Affiliations
Vladmir N. Serkin, Benemerita Univ. Autonoma de Puebla (Mexico)
Tatyana L. Belyaeva, Benemerita Univ. Autonoma de Puebla (Mexico)
Igor V. Alexandrov, S.I. Vavilov State Optical Institute (Russia)
Gaston Melo Melchor, Benemerita Univ. Autonoma de Puebla (Mexico)

Published in SPIE Proceedings Vol. 4271:
Optical Pulse and Beam Propagation III
Yehuda B. Band, Editor(s)

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