Nonparaxial spatial optical solitons in media with a Kerr-law nonlinearity

摘要

Paper presents the results of semianalytical study of features and stability of weakly nonparaxial spatial (transversely two-dimensional) optical soliton in a transparent bulk medium with a cubic (Kerr-law) nonlinearity. We have developed a variant of perturbation theory for sufficiently wide solitons where a small parameter of nonparaxiality is the ratio of the light linear wavelength to the soliton width. By solution of approximate governing equation for electric field transverse components with the Townes mode with linear polarization as an initial iteration, we have found solitons with cylindrically asymmetric field distribution and elliptical polarization changing over the transverse section. The nonparaxial soliton stability was confirmed and weakly damping "internal modes" of the soliton have been found.