Control of planar nonlinear guided waves and spatial solitons with a left-handed medium

TL;DR

This paper explores how nonlinear left-handed metamaterials influence waveguides and spatial solitons, demonstrating controllable power flow and novel soliton behaviors through FDTD analysis.

Contribution

It introduces the impact of nonlinear left-handed media on waveguide behavior and soliton control, including a novel soliton-lens arrangement and cancellation effects.

Findings

Power flow direction can be controlled by electric field intensity.

Spatial solitons exhibit unique behaviors in left-handed media.

A novel soliton-lens arrangement enables new optical effects.

Abstract

The evidence that double negative media, with an effective negative permittivity, and an effective negative permeability, can be manufactured to operate at frequencies ranging from microwave to optical is ushering in a new era of metamaterials. They are referred to here as 'left-handed', even though a variety of names is evident from the literature. In anticipation of a demand for highly structured integrated practical waveguides, this paper addresses the impact of this type of medium upon waveguides that can be also nonlinear. After an interesting historical overview and an exposure of some straightforward concepts, a planar guide is investigated, in which the waveguide is a slab consisting of a left-handed medium sandwiched between a substrate and cladding that are simple dielectrics. The substrate and cladding display a Kerr-type nonlinear response. Because of the nonlinear properties of the Kerr media, the power flow direction can be controlled by the intensity of the electric field. A comprehensive finite-difference-time-domain (FDTD) analysis is presented that concentrates upon spatial soliton behaviour. An interesting soliton-lens arrangement is investigated that lends itself to a novel cancellation effect.