Multidimensional solitons in quadratic nonlinear media

Abstract

A new type of optical soliton is presented for two-wave interactions in quadratic nonlinear media. Unlike the conventional soliton in cubic nonlinear media, the most unique feature of the present solitons is found in the feasibility of multidimensional confinement. A compact analytical expression for the new solitons with arbitrary transverse dimension is derived through the self-consistent-field approximation. With available nonlinear materials in mind, a specific method for observing the multidimensional solitons is investigated.