Abstract

Computation of large-aperture mirror systems by conventional methods tends to yield solutions which are no more than approximately exact. This paper develops and demonstrates a new procedure involving a finite difference equation. The method offers several advantages, such as a direct analytical approach to and exact solutions of problems of spherical aberration and coma. A numerical example is given. Although the two-mirror case is demonstrated, the method is equally applicable to three mirrors as will, it is hoped, be demonstrated by another article to follow.

© 1952 Optical Society of America

A General Contribution Formula for Tangential Rays

Erwin Delano
J. Opt. Soc. Am. 42(9) 631-633 (1952)

Mirror Anastigmat with Two Concentric Spherical Surfaces

Paul Erdös
J. Opt. Soc. Am. 49(9) 877-886 (1959)

Image Error Theory for Finite Aperture and Field*

M. Herzberger and E. Marchand
J. Opt. Soc. Am. 42(5) 306-321 (1952)

A New Thin Lens Form

Seymour Rosin
J. Opt. Soc. Am. 42(7) 451-455 (1952)

Diffraction of Spherical Scalar Waves by an Infinite Half-Plane

Keith Leon McDonald and Franklin S. Harris
J. Opt. Soc. Am. 42(5) 321-330 (1952)