Abstract

A self-consistent perturbation method is developed for the determination of the normal modes and eigenvalues of optic cavities of small Fresnel numbers. The method permits direct determination of the field distribution and eigenvalue (i.e., the diffraction loss and resonant frequency) of a normal mode of any given order to within any desired accuracy without simultaneously solving for the other modes, and can be applied to cavities having end reflectors of arbitrary shape and curvature. The method is applied to solve the integral equation governing the relation between the normal modes and the geometry of the cavity for the particular case of infinite-strip parabolic cavities.

© 1965 Optical Society of America

Resonant Modes of Optic Interferometer Cavities. I. Plane-Parallel End Reflectors*

Leonard Bergstein and Harry Schachter
J. Opt. Soc. Am. 54(7) 887-903 (1964)

Angular Spectra of Optic Cavities*†

Leonard Bergstein and Emanuel Marom
J. Opt. Soc. Am. 56(1) 16-32 (1966)

Optical Resonator Modes—Rectangular Reflectors of Spherical Curvature*

William Streifer
J. Opt. Soc. Am. 55(7) 868-875 (1965)

Optical Resonator Modes—Circular Reflectors of Spherical Curvature*

John C. Heurtley and William Streifer
J. Opt. Soc. Am. 55(11) 1472-1479 (1965)

Comments on “Resonant Modes of Optic Interferometric Cavities”

S. P. Morgan and T. Li
J. Opt. Soc. Am. 55(9) 1128-1132 (1965)