Abstract

The exit pupil distribution that maximizes the mean encircled energy fraction over some interval along a system's line of symmetry is found here for both two- and three-dimensional geometries. Such a merit function has been optimized previously by using the Debye model for the diffracted field, but this is not valid for the systems studied here; the more general Kirchhoff integral must be used. Optimal pupil functions for these systems are shown to depend on an additional parameter and represent a new family of solutions with nontrivial phase. Taylor series are derived for these functions, and they provide a powerful verification of the numerical results.

© 1997 Optical Society of America

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