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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 16, Iss. 11 — Nov. 1, 1999
  • pp: 2669–2674

Effects of finite apertures on transverse eigenmodes of optical resonators

Richard Rolleigh, Maria E. Bell, Michael Rolleigh, and D. K. Bandy  »View Author Affiliations


JOSA A, Vol. 16, Issue 11, pp. 2669-2674 (1999)
http://dx.doi.org/10.1364/JOSAA.16.002669


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Abstract

We examine the properties of the transverse eigenmodes of optical resonators containing a hard aperture. We show that for orthogonal optics and arbitrary aperture shape, the trace of the ray matrix and the scaled aperture size determine the major properties of interest: loss, frequency, and distortion that is due to diffraction. We discuss three different methods of reducing the Huygen–Fresnel integral equation to a matrix equation whose eigenvalues and eigenvectors can be easily found. The dependence of loss, frequency, distortion, and required matrix order on cavity parameters is presented for cylindrically symmetrical resonators. We show that undiffracted modes inadequately approximate the actual modes in nearly unstable cavities.

© 1999 Optical Society of America

OCIS Codes
(050.1220) Diffraction and gratings : Apertures
(050.1940) Diffraction and gratings : Diffraction
(140.3410) Lasers and laser optics : Laser resonators
(140.4780) Lasers and laser optics : Optical resonators
(190.4420) Nonlinear optics : Nonlinear optics, transverse effects in
(230.5750) Optical devices : Resonators

History
Original Manuscript: July 19, 1999
Manuscript Accepted: July 21, 1999
Published: November 1, 1999

Citation
Richard Rolleigh, Maria E. Bell, Michael Rolleigh, and D. K. Bandy, "Effects of finite apertures on transverse eigenmodes of optical resonators," J. Opt. Soc. Am. A 16, 2669-2674 (1999)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-11-2669

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