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Optics Letters

Optics Letters


  • Vol. 4, Iss. 9 — Sep. 1, 1979
  • pp: 300–302

Asymptotic approaches to marginally stable resonators

J. Nagel, P. Avizonis, R. Butts, and D. Rogovin  »View Author Affiliations

Optics Letters, Vol. 4, Issue 9, pp. 300-302 (1979)

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We present analytical solutions valid for large Fresnel number of the Fresnel–Kirchhoff integral equation for marginally stable resonators, for the specific case of flat circular mirrors. The asymptotic approaches used for curved mirrors have been extended to the waveguide region given by m<1+1/N. The resonator modes are expressed in terms of a slowly varying core term similar in form to the electromagnetic fields of a closed resonator and a small, rapidly oscillating term arising from diffraction around the mirror edge.

© 1979 Optical Society of America

Original Manuscript: April 30, 1979
Published: September 1, 1979

J. Nagel, P. Avizonis, R. Butts, and D. Rogovin, "Asymptotic approaches to marginally stable resonators," Opt. Lett. 4, 300-302 (1979)

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  1. R. R. Butts, P. V. Avizonis, “Asymptotic analysis of unstable resonators with circular mirrors,” J. Opt. Soc. Am. 68, 1071–1076 (1978). [CrossRef]
  2. P. Horowitz, “Asymptotic theory of unstable resonator modes,” J. Opt. Soc. Am. 63, 1528–1542 (1973). [CrossRef]
  3. L. Weinstein, Open Resonators and Open Waveguides (Golem Press, Boulder, Colorado, 1969).
  4. H. Kogelnik, T. Li, “Laser beams and resonators,” Proc. IEEE 54, 1312–1329 (1966). [CrossRef]
  5. A. Fox, T. Li, “Resonant modes in a maser interferometer,” Bell Syst. Tech. J. 40, 453–488 (1961).

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