Propagation properties of Hermite-cosh-Gaussian laser beams

In this paper, we investigate theoretically some closed-form propagation expressions of Hermite-cosh-Gaussian laser beams through a paraxial optical ABCD system. By studying the propagation through an aperture, we have derived the closed-form propagation expressions through an ABCD system as a limit when the aperture width is infinite. The closed-form propagation expressions are derived, as a function of the probability function, which relates the electromagnetic fields on the input plane to those on its output plane. Some numerical examples are also illustrated. (C) 2000 Published by Elsevier Science B.V.