Abstract

The computer routine used in a previous paper [ J. Opt. Soc. Am. A 13, 523 ( 1996)] for the concatenation of eikonals is quite slow in certain demanding cases. This problem can be overcome by using the order doubling technique developed for this purpose by Forbes [ J. Opt. Soc. Am. 72, 1097 ( 1982); J. Opt. Soc. Am. 73, 782 ( 1983)] and Forbes and Andrews [ J. Opt. Soc. Am. 73, 776 ( 1983)] more than a dozen years ago. Numerical experiments show that this technique speeds up the calculations by two orders of magnitude or more.

© 1996 Optical Society of America

Eikonal theory and computer algebra

A. Walther
J. Opt. Soc. Am. A 13(3) 523-531 (1996)

Numerical techniques in eikonal function theory

A. Walther
J. Opt. Soc. Am. A 5(4) 511-515 (1988)

Zoom lenses and computer algebra

A. Walther
J. Opt. Soc. Am. A 16(1) 198-204 (1999)

Angle eikonals for a perfect zoom system

Adriaan Walther
J. Opt. Soc. Am. A 18(8) 1968-1971 (2001)

Eikonal theory of strong acousto-optic interaction with curved wave fronts of sound

R. Pieper and A. Korpel
J. Opt. Soc. Am. A 2(9) 1435-1445 (1985)