Negative refraction and spatial echo in optical waveguide arrays
Ramaz Khomeriki, Lasha Tkeshelashvili

TL;DR
This paper demonstrates how symmetry properties of the discrete nonlinear Schrödinger equation enable negative refraction and spatial echo of light in waveguide arrays, using a proposed waveguide configuration and numerical simulations.
Contribution
It introduces a novel waveguide array design that achieves negative refraction and spatial echo based on symmetry-induced wavefunction revival.
Findings
Numerical simulations confirm negative refraction of spatial solitons.
A short waveguide array can induce a pi phase shift for wave inversion.
The method leverages symmetry properties for wave control.
Abstract
The special symmetry properties of the discrete nonlinear Schrodinger equation allow a complete revival of the initial wavefunction. That is employed in the context of stationary propagation of light in a waveguide array. As an inverting system we propose a short array of almost isolated waveguides which cause a relative pi phase shift in the neighboring waveguides. By means of numerical simulations of the model equations we demonstrate a novel mechanism for the negative refraction of spatial solitons.
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