Theory of stationary solitary waves generated by optical parametric interactions in the presence of Kerr-type nonlinearities and dissipations
Kazuya HayataDepartment of Electronic and Information Engineering, Hokkaido University, Sapporo 060, JapanM. KoshibaDepartment of Electronic and Information Engineering, Hokkaido University, Sapporo 060, Japan
1995en
ABI
Abstract
We show analytically that inclusion of contributions from third-order nonlinearities in a theoretical model for optical parametric interactions derived from second-order nonlinearities makes possible the prediction of various kinds of stationary solitary-wave solution. Specifically these waves consist of hyperbolic (bright and dark types), algebraic (bright and dark types), and kink/antikink types. In the limit of vanishing third-order nonlinearities the first solitary-wave family (hyperbolic type) is reduced to solitary waves already reported. Effects of dissipations including one- and two-photon absorption are discussed as well.
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