title: Laguerre-Gaussian functions and generalized formulation of electromagnetic Gaussian Schell-model sources.
abstract: Fourier transform of the combination of Gaussian function and power functions of even exponents 2n(n=0,1,2,…) 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.
authors.forename: Yajun
authors.initials: Y
authors.lastname: Li