A method is presented for determining the aperture apodization functions needed to optimize any given product of powers of the even-order moments of the beam intensity in the near and far zones. The results are a generalization of previous work [Pure Appl. Opt. <b>7</b>, 1221 (1998)] that dealt only with the far-zone moments. These methods are applied to the problem of optimizing the so-called beam propagation factor, M<sub>P</sub><sup>2</sup>.
© 1999 Optical Society of America
(050.1220) Diffraction and gratings : Apertures
P. S. Carney and G. Gbur, "Optimal apodizations for finite apertures," J. Opt. Soc. Am. A 16, 1638-1640 (1999)