Abstract

The diffraction losses of phase-conjugate resonators with bounded mirrors are shown to depend only on two dimensionless parameters. The hemispherical phase-conjugate resonator is shown to yield a fundamental mode with minimum loss among all phase-conjugate resonators with the same mirror dimensions. Proof is given that the diffraction losses around the phase-conjugate mirror are larger than the diffraction losses around the conventional mirror; hence diffraction coupling is more efficient around the phase-conjugate mirror. Numerical results support these conclusions.

© 1983 Optical Society of America

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  1. A. E. Siegman, P. A. Belanger, and A. Hardy, "Optical resonators using phase conjugate mirrors," in Optical Phase Conjugation, R. H. Fisher, ed. (Academic, New York, 1983).
  2. I. M. Bel'Dyugin and E. M. Zemskow, "Calculation of the field in a laser resonator with a wavefront-reversing mirror," Sov. J. Quantum Electron. 10, 764–765 (1980).
  3. M. G. Reznikov and A. I. Khizhnyak, "Properties of a resonator with a wavefront-reversing mirror," Sov. J. Quantum Electron. 10, 633–634 (1980).
  4. J. F. Lam and W. P. Brown, "Optical resonators with phase-conjugate mirrors," Opt. Lett. 5, 61–63 (1980).
  5. W. Shao-Min and H. Weber, "A spherical resonator equivalent to arbitrary phase-conjugate resonators," Opt. Commun. 41, 360–362 (1982).
  6. A. Hardy and S. Hochhauser, "Higher-order modes of phase conjugate resonators," Appl. Opt. 21, 2330–2338 (1982).
  7. A. Hardy, P. A. Belanger, and A. E. Siegman, "Resonant modes of optical cavities with phase-conjugate mirrors," Appl. Opt. 21, 1122–1124 (1982).
  8. J. P. Gordon and H. Kogelnik, "Equivalence relations among spherical mirror optical resonators," Bell. Syst. Tech. J. 43, 2873–2886 (1964).
  9. D. Slepian and H. O. Pollack, "Prolate spheroidal wave functions, Fourier analysis and uncertainty," Bell. Syst. Tech. J. 40, 43–64 (1961); D. Slepian and E. Sonnenblick, "Eigenvalues associated with prolate spheroidal wave functions of zero-order," Bell. Syst. Tech. J. 44, 1745–1759 (1965).

1982 (3)

1980 (3)

I. M. Bel'Dyugin and E. M. Zemskow, "Calculation of the field in a laser resonator with a wavefront-reversing mirror," Sov. J. Quantum Electron. 10, 764–765 (1980).

M. G. Reznikov and A. I. Khizhnyak, "Properties of a resonator with a wavefront-reversing mirror," Sov. J. Quantum Electron. 10, 633–634 (1980).

J. F. Lam and W. P. Brown, "Optical resonators with phase-conjugate mirrors," Opt. Lett. 5, 61–63 (1980).

1964 (1)

J. P. Gordon and H. Kogelnik, "Equivalence relations among spherical mirror optical resonators," Bell. Syst. Tech. J. 43, 2873–2886 (1964).

1961 (1)

D. Slepian and H. O. Pollack, "Prolate spheroidal wave functions, Fourier analysis and uncertainty," Bell. Syst. Tech. J. 40, 43–64 (1961); D. Slepian and E. Sonnenblick, "Eigenvalues associated with prolate spheroidal wave functions of zero-order," Bell. Syst. Tech. J. 44, 1745–1759 (1965).

Bel’Dyugin, I. M.

I. M. Bel'Dyugin and E. M. Zemskow, "Calculation of the field in a laser resonator with a wavefront-reversing mirror," Sov. J. Quantum Electron. 10, 764–765 (1980).

Belanger, P. A.

A. Hardy, P. A. Belanger, and A. E. Siegman, "Resonant modes of optical cavities with phase-conjugate mirrors," Appl. Opt. 21, 1122–1124 (1982).

A. E. Siegman, P. A. Belanger, and A. Hardy, "Optical resonators using phase conjugate mirrors," in Optical Phase Conjugation, R. H. Fisher, ed. (Academic, New York, 1983).

Brown, W. P.

Gordon, J. P.

J. P. Gordon and H. Kogelnik, "Equivalence relations among spherical mirror optical resonators," Bell. Syst. Tech. J. 43, 2873–2886 (1964).

Hardy, A.

Hochhauser, S.

Khizhnyak, A. I.

M. G. Reznikov and A. I. Khizhnyak, "Properties of a resonator with a wavefront-reversing mirror," Sov. J. Quantum Electron. 10, 633–634 (1980).

Kogelnik, H.

J. P. Gordon and H. Kogelnik, "Equivalence relations among spherical mirror optical resonators," Bell. Syst. Tech. J. 43, 2873–2886 (1964).

Lam, J. F.

Pollack, H. O.

D. Slepian and H. O. Pollack, "Prolate spheroidal wave functions, Fourier analysis and uncertainty," Bell. Syst. Tech. J. 40, 43–64 (1961); D. Slepian and E. Sonnenblick, "Eigenvalues associated with prolate spheroidal wave functions of zero-order," Bell. Syst. Tech. J. 44, 1745–1759 (1965).

Reznikov, M. G.

M. G. Reznikov and A. I. Khizhnyak, "Properties of a resonator with a wavefront-reversing mirror," Sov. J. Quantum Electron. 10, 633–634 (1980).

Shao-Min, W.

W. Shao-Min and H. Weber, "A spherical resonator equivalent to arbitrary phase-conjugate resonators," Opt. Commun. 41, 360–362 (1982).

Siegman, A. E.

A. Hardy, P. A. Belanger, and A. E. Siegman, "Resonant modes of optical cavities with phase-conjugate mirrors," Appl. Opt. 21, 1122–1124 (1982).

A. E. Siegman, P. A. Belanger, and A. Hardy, "Optical resonators using phase conjugate mirrors," in Optical Phase Conjugation, R. H. Fisher, ed. (Academic, New York, 1983).

Slepian, D.

D. Slepian and H. O. Pollack, "Prolate spheroidal wave functions, Fourier analysis and uncertainty," Bell. Syst. Tech. J. 40, 43–64 (1961); D. Slepian and E. Sonnenblick, "Eigenvalues associated with prolate spheroidal wave functions of zero-order," Bell. Syst. Tech. J. 44, 1745–1759 (1965).

Weber, H.

W. Shao-Min and H. Weber, "A spherical resonator equivalent to arbitrary phase-conjugate resonators," Opt. Commun. 41, 360–362 (1982).

Zemskow, E. M.

I. M. Bel'Dyugin and E. M. Zemskow, "Calculation of the field in a laser resonator with a wavefront-reversing mirror," Sov. J. Quantum Electron. 10, 764–765 (1980).

Appl. Opt. (2)

Bell. Syst. Tech. J. (2)

J. P. Gordon and H. Kogelnik, "Equivalence relations among spherical mirror optical resonators," Bell. Syst. Tech. J. 43, 2873–2886 (1964).

D. Slepian and H. O. Pollack, "Prolate spheroidal wave functions, Fourier analysis and uncertainty," Bell. Syst. Tech. J. 40, 43–64 (1961); D. Slepian and E. Sonnenblick, "Eigenvalues associated with prolate spheroidal wave functions of zero-order," Bell. Syst. Tech. J. 44, 1745–1759 (1965).

Opt. Commun. (1)

W. Shao-Min and H. Weber, "A spherical resonator equivalent to arbitrary phase-conjugate resonators," Opt. Commun. 41, 360–362 (1982).

Opt. Lett. (1)

Sov. J. Quantum Electron. (2)

I. M. Bel'Dyugin and E. M. Zemskow, "Calculation of the field in a laser resonator with a wavefront-reversing mirror," Sov. J. Quantum Electron. 10, 764–765 (1980).

M. G. Reznikov and A. I. Khizhnyak, "Properties of a resonator with a wavefront-reversing mirror," Sov. J. Quantum Electron. 10, 633–634 (1980).

Other (1)

A. E. Siegman, P. A. Belanger, and A. Hardy, "Optical resonators using phase conjugate mirrors," in Optical Phase Conjugation, R. H. Fisher, ed. (Academic, New York, 1983).

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