Abstract
Using the Huygens–Fresnel diffraction integral, we obtain a closed-form analytic expression for the amplitude distribution of a phase flipped Gaussian (PFG) beam passing through a paraxial optical ABCD system. The resulting expression is related in a simple way to the corresponding expression for a Gaussian beam and contains error functions of complex argument. Both ideal and non-ideal PFGs are considered. Numerical results are presented for the special case of free-space propagation. Intensity patterns of the propagating PFG are explained by means of the power series and asymptotic expansions of the error function.
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