Abbreviated Journal Title
Phys. Rev. E
Keywords
SPATIAL SOLITARY WAVES; 2ND-ORDER NONLINEARITIES; Physics, Fluids & Plasmas; Physics, Mathematical
Abstract
Stationary quadratic solitons associated with second harmonic generation in optically anisotropic media have been investigated both numerically and analytically using the variational approach. The solitons were found to have elliptical shapes, both for the fundamental and second harmonic, and their approximate beam waists and amplitudes as a function of the anisotropy and the soliton parameter were found. The important limits of anisotropic diffraction were compared to the well-known model of isotropic diffraction. The stability of anisotropic solitons was addressed via the Vakhitov-Kolokolov criterion and the regions of parameter space for which the solitons are stable were identified. Direct numerical simulations of the coupled field equations were performed to illustrate the existence, stability, and ellipticity of anisotropic quadratic solitons. In general, good agreement was found between approximate analytical approaches and numerical experiments.
Journal Title
Physical Review E
Volume
66
Issue/Number
4
Publication Date
1-1-2002
Document Type
Article
Language
English
First Page
7
WOS Identifier
ISSN
1539-3755
Recommended Citation
Polyakov, Sergey V. and Stegeman, George I., "Existence and properties of quadratic solitons in anisotropic media: Variational approach" (2002). Faculty Bibliography 2000s. 3404.
https://stars.library.ucf.edu/facultybib2000/3404
Comments
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