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

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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

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