Abstract

We investigate the propagation of intense Gaussian beams in materials with quadratic nonlinearity. Excitation of (2 + 1) solitons is numerically predicted at finite phase mismatch and in the presence of linear walk-off between the fundamental and second-harmonic waves. The numerical results are interpreted in terms of the conserved quantities of the wave evolution, and the appropriate conditions for the experimental observation of the solitons are discussed.

© 1995 Optical Society of America

Bright solitons with second-order nonlinearities

Lluis Torner, Curtis R. Menyuk, and George I. Stegeman
J. Opt. Soc. Am. B 12(5) 889-897 (1995)

Soliton excitation and mutual locking of light beams in bulk quadratic nonlinear crystals

Lluis Torner and Ewan M. Wright
J. Opt. Soc. Am. B 13(5) 864-875 (1996)

Coupled solitons in waveguides with second- and third-order nonlinearities

Mirosław A. Karpierz
Opt. Lett. 20(16) 1677-1679 (1995)

Beam steering by χ⁽²⁾ trapping

Lluis Torner, William E. Torruellas, George I. Stegeman, and Curtis R. Menyuk
Opt. Lett. 20(19) 1952-1954 (1995)

Stability of spatial solitary waves in quadratic media

Lluis Torner, Dumitru Mihalache, Dumitru Mazilu, and Nail N. Akhmediev
Opt. Lett. 20(21) 2183-2185 (1995)