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Twisted Gaussian Schell-model beams as series of partially coherent modified Bessel–Gauss beams

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Abstract

We show that twisted Gaussian Schell-model (TGSM) beams can be represented through an incoherent superposition of partially coherent beams carrying optical vortices and whose cross-spectral densities are expressed in terms of modified Bessel functions. Moreover, starting from this result, we show that the modal expansion of the cross-spectral density of a TGSM source can be directly obtained through simple mathematics.

© 2015 Optical Society of America

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Equations (33)

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