Abstract

The physical-realizability issues of scalar focus wave modes that are solutions of the homogeneous wave equation with the boundary data exp(−r2w0−2) given on a characteristic are addressed. The Gaussian beams are solutions of the paraxial equation with the same boundary data in a fixed plane. A comparison of these two situations suggests that the focus wave modes can be approximated by giving the exponential exp(−r2w0−2) on some moving plane. This suggestion is implemented.

© 1992 Optical Society of America

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