Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Modes of resonators with internal apertures

Not Accessible

Your library or personal account may give you access

Abstract

Modes of resonators formed by paraxial elements of infinite extent and single internal aperture are shown to be the solutions of two coupled symmetric integral equations involving four parameters: two Fresnel numbers N1 and N2 and two geometrical factors A1 and A2. The modes become the eigenfunctions of an Hermitian operator when N1 = ±N2, A1 = ∓A2; analytical solutions can then be written as generalized prolate spheroidal functions. The same solutions are derived for a resonator in which one mirror is replaced by an infinite phase conjugate mirror. Real nonsymmetric eigenvalue problems are associated with the condition N1A1 = −N2A2; such configurations can generate pairs of modes with same power losses but different oscillation frequencies. Extension to cavities with two internal apertures yields a system of four coupled integral equations with eight independent parameters; again the modes can be the solutions of Hermitian or real nonsymmetric eigenvalue problems under special conditions.

© 1983 Optical Society of America

Full Article  |  PDF Article
More Like This
Modes of phase-conjugate resonators with bounded mirrors

P. A. Belanger, C. Pare, and M. Piche
J. Opt. Soc. Am. 73(5) 567-571 (1983)

Higher-order modes of phase conjugate resonators

Amos Hardy and Simon Hochhauser
Appl. Opt. 21(13) 2330-2338 (1982)

Eigenvalues of a nonconfocal laser resonator with an output-coupling aperture

M. Tsuji, H. Shigesawa, and K. Takiyama
Appl. Opt. 18(9) 1334-1340 (1979)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (8)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (41)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved