Abstract

The geometrical theory of resonators having nonuniform magnification is extended to include a magnification function which is singular at the resonator axis. A hole naturally occurs in one mirror through which all eigenrays are injected. In theory, no portion of the injected beam is reflected back through the hole, so the reference oscillator is isolated. The geometrical modes, eigenvalues, and mirror sag functions are derived for two such resonators.

© 1986 Optical Society of America

Unstable optical resonators with linear magnification

Martin E. Smithers and Thomas R. Ferguson
Appl. Opt. 23(20) 3718-3724 (1984)

Injection-locking optimization in unstable resonators

J. Kedmi and D. Treves
Appl. Opt. 20(12) 2108-2112 (1981)

Toric unstable resonators

Thomas R. Ferguson and Martin E. Smithers
Appl. Opt. 23(13) 2122-2126 (1984)

Unstable resonators with 90° beam rotation

Alan H. Paxton and William P. Latham
Appl. Opt. 25(17) 2939-2946 (1986)

Unstable resonator with canceling edge waves: rectangular aperture

Thomas R. Ferguson, Martin E. Smithers, and James F. Perkins
Appl. Opt. 25(5) 672-677 (1986)