Self-Induced Fractional Fourier Transform and Revivable Higher Order Spatial Solitons in Strongly Nonlocal Nonlinear Media

TL;DR

This paper demonstrates that strongly nonlocal nonlinear media naturally induce a self-referential fractional Fourier transform, enabling the formation of revivable higher order spatial solitons with potential applications in tunable optical devices.

Contribution

It introduces the concept of self-induced FRFT in SNN media and shows how it leads to revivable higher order spatial solitons with periodic profile reconstruction.

Findings

Higher order spatial solitons periodically reconstruct their profiles.

Self-induced FRFT provides a new perspective on beam evolution in SNN media.

Potential for developing tunable FRFT-based optical devices.

Abstract

The fractional Fourier transform (FRFT) naturally exists in the strongly nonlocal nonlinear (SNN) media and the propagation of optical beams in SNN media can be simply regarded as a self-induced FRFT. Through FRFT technic the evolution of fields in SNN media can be conveniently dealt with and an arbitrary square-integrable input field presents generally as a revivable higher order spatial soliton which reconstructs its profile periodically after every 4 times of Fourier transforms. The self-induced FRFT would illuminate the prospect of the SNN media in new applications such as continuously tunable nonlinearity-induced FRFT devices.