Closed-Term propagation expressions of flattened Gaussian beams through anapertured ABCD optical system

Within the framework of diffraction theory, we investigate some closed-form propagation expressions of flattened Gaussian beams through a paraxial opt ical 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 exp ressions are derived, as a function of the Gaussian probability function, w hich relates the electromagnetic fields on the input plane to those on its output plane. Some numerical examples are also illustrated. (C) 2001 Elsevi er Science B.V. All rights reserved.