Dynamics of optical spatial solitons near the interface between two quadratically nonlinear media

Abstract

Using the quasi-particle approach, we studied the problem of the reflection of quadratic spatial solitons from an interface between two (2) media with slightly different linear and nonlinear properties. The possibility of soliton capture by an interface associated with nonlinear surface wave excitation is shown. The calculations are carried out for the well-known single as well as a novel type of multihump soliton, for which we obtain a new analytical expression in the nonlocal limit for the first time to our knowledge.

Modulational instability, solitons and beam propagation in spatially nonlocal nonlinear media

“…We will show below that quadratic solitons can be described by nonlocal models. Such models provide simple physical explanations of these properties and many more, building on a simple waveguide analogy [49,50,51]. Consider a fundamental wave (FW) and its second harmonic (SH) propagating along the z-direction in a χ (2) crystal under conditions for type I phase-matching.…”

Quadratic solitons as nonlocal solitons

“…gives solitons with an odd number of humps (2N − 1), as discussed in [6]. However, this does not exhaust all soliton solutions supported by the model (12).…”

“…Here we use the analogy between parametric interaction and nonlocality and present a physically intuitive nonlocal theory, which is exact in predicting the profiles of stationary quadratic solitons and which provides a simple physical explanation for their properties including formation of bound states. The nonlocal analogy was applied recently by Shadrivov and Zharov to find approximate bright quadratic soliton solutions, but the nonlocal concept was not fully exploited to give a broad physical picture in the whole regime of excistence [6].…”

Dark solitons at nonlinear interfaces

“…In particular, spatial solitons are predicted to become key elements of emerging photonic technologies [1,2]. The behaviour of soliton beams at nonlinear interfaces has been extensively treated in the literature, where Kerrtype, and also saturable-Kerr [3], photorefractive [4], and quadratic soliton [5,6] refraction properties have been reviewed and proposed for the design of all-optical devices [7][8][9][10]. Most previous works on nonlinear interfaces have two features in common.…”