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Wigner representation of Laguerre–Gaussian beams

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Abstract

A phase-space description of the Laguerre–Gaussian modes is presented that points out the connection between these modes and the Hermite–Gaussian modes. We exploit the underlying phase-space symmetries to derive a closed-form expression for the Wigner distribution function of Laguerre–Gaussian modes. This expression is as compact as the one for the Hermite–Gaussian modes.

© 2000 Optical Society of America

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Equations (20)

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