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

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.

Published in Phys. Rev. A

References in corpus (4)

• Observation of optical spatial solitons in a highly nonlocal medium
• Observation of attraction between dark solitons
• Two-dimensional multi-pole solitons in nonlocal nonlinear media
• Dynamics of two-dimensional coherent structures in nonlocal nonlinear media

Cited by in corpus (9)

• Self-Fourier transform and self-Fourier beams due to parabolic potential
• Relation between surface solitons and bulk solitons in nonlocal nonlinear media
• The Relation Between Optical beams Propagation in Free Space and in Strongly Nonlocal Nonlinear Media
• Modulational instability in nonlocal Kerr media with sine-oscillatory response
• Interface solitons in thermal nonlinear media
• Multiple-type solutions for multipole interface solitons in thermal nonlinear media
• Fractional Fourier Transform and Geometric Quantization
• Solitons in thermal media with periodic modulation of linear refractive index
• Observation of Optical Solitons and Abnormal Modulation Instability in Liquid Crystals with Negative Dielectric Anisotropy