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Applied Optics

Applied Optics


  • Vol. 19, Iss. 4 — Feb. 15, 1980
  • pp: 602–609

Resonant modes of optical cavities with phase-conjugate mirrors

Pierre A. Bélanger, Amos Hardy, and A. E. Siegman  »View Author Affiliations

Applied Optics, Vol. 19, Issue 4, pp. 602-609 (1980)

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The lowest-order self-consistent Gaussian transverse modes are derived, also the resonant frequencies of an optical resonator formed by conventional paraxial optical components plus a phase-conjugate mirror (PCM) on one end. The conventional optical elements are described by an over-all ABCD matrix. Cavities with purely real elements (no aperturing) have a continuous set of self-reproducing Gaussian modes described by a semicircular locus in the 1/q plane for one round trip; all Gaussian beams are self-reproducing after two round trips. Complex ABCD matrices, such as are produced by Gaussian aperturing in the cavity, lead to unique self-consistent perturbation-stable Gaussian modes. The resonant frequency spectrum of a PCM cavity consists of a central resonance at the driving frequency ω0 of the PCM element, independent of the cavity length L, plus half-axial sidebands spaced by Δωax = 2π(c/4L), with phase and amplitude constraints on each pair of upper and lower sidebands.

© 1980 Optical Society of America

Original Manuscript: June 14, 1979
Published: February 15, 1980

Pierre A. Bélanger, Amos Hardy, and A. E. Siegman, "Resonant modes of optical cavities with phase-conjugate mirrors," Appl. Opt. 19, 602-609 (1980)

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