Spectral shifts and spectral switches of diffracted spatially and spectrally partially coherent pulsed beams in the far field

Abstract

Taking the Gaussian Schell-model pulsed (GSMP) beam as a typical example of spatially and spectrally partially coherent pulsed beams, an analytical expression for the far-field spectrum of diffracted GSMP beams in the space–frequency domain is derived by using the method of the complex Gaussian function expansion, and used to study the spectral shifts and spectral switches of GSMP beams in the far field. Numerical calculation results are given to illustrate the dependence of spectral shifts and spectral switches on the temporal coherence length, spatial correlation parameter, truncation parameter and diffraction angle.