Abstract

Bare cavity unstable axisymmetric resonators with magnifications that are linear functions of the radial coordinate are investigated. Some properties similar to those of ordinary resonators are found. The geometrical theory predicts modes and eigenvalues in reasonable agreement with physical optics results. Interleaving of radial mode eigenvalues with increasing equivalent Fresnel number is observed. One form of scaling in size is found. The number of parameters involved and the lack of equivalence relations limit the scope and generality of the investigation.

© 1984 Optical Society of America

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