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Is a resonator that contains a phase-conjugating mirror a resonator?

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Abstract

Unlike conventional resonators that exhibit a transfer function that is similar to an Airy’s formula, a resonator that contains a phase-conjugating mirrror (PCMR) shows a cosine phase dependence. But a cosine phase dependence is the characteristic of two-beam interferometers. Does this mean that a PCMR is a two-beam interference device? We show that in a certain sense this is the case. However, for a PCMR this does not necessarily contradict the notion of resonator, which implies multiple-beam interference. Applying the discrete-time technique, we demonstrate that a PCMR can be decomposed into a serial connection of a feedback loop, corresponding to an always-tuned resonator, and a two-beam interferometer. It is this interferometer that causes the cosine phase dependence.

© 1990 Optical Society of America

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