Abstract

Modes and losses of 90° and quasi-90° roof resonators were investigated by numerical solution of the appropriate integral equation for the infinite-strip case. The reference surface, in a virtual geometry, was the median plane of the resonators. The total of the direct contribution from the two sides of the roof, plus the contribution from the same two sides, after mutual reflection, was considered. The results show that, in the transition from 90° roof to ring resonators, the zero mode degenerates into the first odd mode, which represents the lowest-order mode of the ring. An equivalence is also verified between 90° roof and Fabry–Perot resonators, as well as between 90° ± α roof and 180° ± 2α flat-roof resonators.

© 1975 Optical Society of America

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