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