Abstract

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 $m<1+1/\sqrt{N}$. 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

Effect of gain on the electrodynamics of marginally stable resonators

J. Nagel, D. Rogovin, and P. Avizonis
Opt. Lett. 5(3) 90-92 (1980)

Analytic variational method for determining the modes of marginally stable resonators

J. Nagel and D. Rogovin
J. Opt. Soc. Am. 70(12) 1525-1538 (1980)

Asymptotic theory of unstable resonator modes*

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J. Opt. Soc. Am. 63(12) 1528-1543 (1973)

Asymptotic analysis of unstable laser resonators with circular mirrors

R. R. Butts and P. V. Avizonis
J. Opt. Soc. Am. 68(8) 1072-1078 (1978)

Ray-optical analysis of cylindrical unstable resonators

S. H. Cho, S. Y. Shin, and L. B. Felsen
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