Abstract

The optimization technique first developed by Grey for lens design is described in terms of more recent work that has appeared in the mathematical programming literature. We present two modifications of the original algorithm that improve its performance on difficult problems. To confirm the confidence that the many users have placed in the method, the outline of a convergence proof is included. Finally, the theoretical work is supported by the results of numerical experiments.

© 1973 Optical Society of America

Smith–Purcell radiation from a point charge moving parallel to a reflection grating

P. M. van den Berg
J. Opt. Soc. Am. 63(12) 1588-1597 (1973)

Higher orders in the diffraction pattern of random scenes in coherent optical systems*

H. Stark and F. B. Tuteur
J. Opt. Soc. Am. 63(6) 675-685 (1973)

Density-operator description of foil-excited atomic beams: Zero-field quantum beats in L-S coupling without cascades

David G. Ellis
J. Opt. Soc. Am. 63(10) 1232-1235 (1973)

Light scattering by a single cylindrical lens: numerical results from a rigorous theory

Walid Tabbara
J. Opt. Soc. Am. 63(1) 17-24 (1973)

Extended theory of light modulation in thin-screen diffraction by ultrasound

F. Calligaris, P. Ciuti, and I. Gabrielli
J. Opt. Soc. Am. 63(3) 287-292 (1973)