Abstract

A new method of calculating the evolution of cylindrical axisymmetric beams is presented. The method is based on expansion in a set of suitable axially displaced Gaussians. The expansion coefficients are found by a Fourier transformation that permits the application of the fast-Fourier-transform algorithm. The sampling points are evenly spaced in the y = r2 coordinate of the entrance plane. The mathematical formalism is presented, and simple relationships are found between the beam transverse field profile at a given plane and the field profile along the optical axis. Application examples are presented of beam propagation calculation, Fox–Li iterations in an optical resonator, and optical beam generation according to a prescribed axial profile.

© 1993 Optical Society of America

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