Abstract

Fourier transform of the combination of Gaussian function and power functions of even exponents $2n(n=0,1,2,\dots )$ gives rise to a class of physically realizable electromagnetic sources with correlation properties expressible in terms of Laguerre–Gaussian functions. Relatively simple mathematical expressions of the electromagnetic beams produced by the Laguerre–Gaussian Schell-model sources are given for an investigation of the coherence and polarization properties and the higher-order coherence effect of the correlations between intensity fluctuations in the Laguerre–Gaussian Schell-model beams (Laguerre–GSMB) of any order $n$. Results obtained are compared numerically with the predictions of the classic electromagnetic Gaussian Schell-model beam that is the lowest-order Laguerre–GSM beams.

© 2015 Optical Society of America

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