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Proceedings Paper

Modes Of Unstable Ring Resonator With Self-Imaging Aperture
Author(s): Carl M. Wiggins
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Paper Abstract

In this paper we compare the converged solutions of infinite Fresnel number, negative branch unstable ring resonators of circular mirrors and apertures to the low-order symmetric and nonsymmetric geometric eigenmodes that one would expect in the limit where diffraction effects can be ignored. We use the fact that the equivalent collimated round-trip propagation length of a negative branch ring resonator can be zero under conditions that allow an aperture of the optical system to be imaged onto itself, i.e., to be self-imaged. Using a numerical resonator model, we show that for certain size spatial filters placed in the focal plane, the dominant ℓ = 0 and ℓ = 1 modes are given by the lowest order symmetric and nonsymmetric geometric modes, thus verifying the self-imaging aperture concept for resonators employing round optics. (Here, ℓ is the azimuthal mode index.) We present detailed results which show that a spatial filter may be used to stabilize modes over a wide range of eigenvalues in addition to those for which it is self-imaging.

Paper Details

Date Published: 30 December 1981
PDF: 7 pages
Proc. SPIE 0288, Los Alamos Conf on Optics '81, (30 December 1981); doi: 10.1117/12.932065
Show Author Affiliations
Carl M. Wiggins, The BDM Corporation (United States)


Published in SPIE Proceedings Vol. 0288:
Los Alamos Conf on Optics '81
Donald H. Liebenberg, Editor(s)

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