Abstract

The directional behavior of power losses in aberrated multiaperture optical resonators with one or two phase-conjugate mirrors is investigated through integral equations and the reciprocity theorem. In a resonator with one phasecohjugate mirror, the losses of the mode traveling from the conventional mirror to the phase-conjugate mirror are shown to be larger than the losses of the counterpropagating mode. In a resonator with two phase-conjugate mirrors, the losses along each direction are found to be equal.

© 1983 Optical Society of America

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  1. A. E. Siegman, P. A. Bélanger, and A. Hardy, "Optical resonators using phase conjugate mirrors," in Optical Phase Conjugation, R. A. Fisher, ed. (Academic, New York, 1983), pp. 465–535.
  2. J. F. Lam and W. P. Brown, "Optical resonators with phase conjugate mirrors," Opt. Lett. 5, 61–63 (1980).
  3. A. Hardy, "Sensitivity of phase-conjugate resonators to intriacavity phase perturbations," IEEE J. Quantum Electron. QE-17, 1581–1585 (1981).
  4. J. Auyeung, D. Fekete, D. M. Pepper, and A. Yariv, "A theoretical and experimental investigation of the modes of optical resonators with phase-conjugate mirrors," IEEE J. Quantum Electron. QE-15, 1180–1188 (1979).
  5. P. A. Bélanger, A. Hardy, and A. E. Siegman; "Resonant modes of optical cavities with phase-conjugate mirrors," Appl. Opt. 19, 602–609 (1980).
  6. P. A. Bélanger, A. Hardy, and A. E. Siegman, "Resonant modes of optical cavities with phase conjugate mirrors: higher-order modes," Appl. Opt. 19, 479–480 (1980).
  7. A. Hardy, P. A. Bélanger, and A. E. Siegman, "Orthogonality properties of phase conjugate optical resonators," Appl. Opt. 21, 1122–1124 (1982).
  8. A. Hardy and S. Hochhauser, "Higher-order modes of phase conjugate resonators," Appl. Opt. 21, 2330–2338 (1982).
  9. W. Shao-Min and H. Weber, "A spherical resonator equivalent to arbitrary phase-conjugate resonators," Opt. Commun. 41, 360–362 (1982).
  10. M. G. Reznikov and A. I. Khizhnyak, "Properties of a resonator with a wavefront-reversing mirror," Sov. J. Quantum Electron. 10, 633–634 (1980).
  11. P. A. Bélanger, C. Paré, and M. Piché, "Modes of phase conjugate resonators with bounded mirrors," J. Opt. Soc. Am. 73, 567–571 (1983).
  12. P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953), Vol. 1, pp. 873–883.
  13. D. Slepian and H. O. Pollack, "Prolate spheroidal wave functions, Fourier analysis and uncertainty," Bell Syst. Tech. J. 40, 43–64 (1961).
  14. G. S. Agarwal, A. T. Friberg, and E. Wolf, "Elimination of distortion by phase conjugation without losses or gains," Opt. Commun. 43, 446–450 (1982).

1983 (2)

A. E. Siegman, P. A. Bélanger, and A. Hardy, "Optical resonators using phase conjugate mirrors," in Optical Phase Conjugation, R. A. Fisher, ed. (Academic, New York, 1983), pp. 465–535.

P. A. Bélanger, C. Paré, and M. Piché, "Modes of phase conjugate resonators with bounded mirrors," J. Opt. Soc. Am. 73, 567–571 (1983).

1982 (4)

G. S. Agarwal, A. T. Friberg, and E. Wolf, "Elimination of distortion by phase conjugation without losses or gains," Opt. Commun. 43, 446–450 (1982).

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

A. Hardy and S. Hochhauser, "Higher-order modes of phase conjugate resonators," Appl. Opt. 21, 2330–2338 (1982).

A. Hardy, P. A. Bélanger, and A. E. Siegman, "Orthogonality properties of phase conjugate optical resonators," Appl. Opt. 21, 1122–1124 (1982).

1981 (1)

A. Hardy, "Sensitivity of phase-conjugate resonators to intriacavity phase perturbations," IEEE J. Quantum Electron. QE-17, 1581–1585 (1981).

1980 (4)

1979 (1)

J. Auyeung, D. Fekete, D. M. Pepper, and A. Yariv, "A theoretical and experimental investigation of the modes of optical resonators with phase-conjugate mirrors," IEEE J. Quantum Electron. QE-15, 1180–1188 (1979).

1961 (1)

D. Slepian and H. O. Pollack, "Prolate spheroidal wave functions, Fourier analysis and uncertainty," Bell Syst. Tech. J. 40, 43–64 (1961).

Agarwal, G. S.

G. S. Agarwal, A. T. Friberg, and E. Wolf, "Elimination of distortion by phase conjugation without losses or gains," Opt. Commun. 43, 446–450 (1982).

Auyeung, J.

J. Auyeung, D. Fekete, D. M. Pepper, and A. Yariv, "A theoretical and experimental investigation of the modes of optical resonators with phase-conjugate mirrors," IEEE J. Quantum Electron. QE-15, 1180–1188 (1979).

Bélanger, P. A.

Brown, W. P.

Fekete, D.

J. Auyeung, D. Fekete, D. M. Pepper, and A. Yariv, "A theoretical and experimental investigation of the modes of optical resonators with phase-conjugate mirrors," IEEE J. Quantum Electron. QE-15, 1180–1188 (1979).

Feshbach, H.

P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953), Vol. 1, pp. 873–883.

Friberg, A. T.

G. S. Agarwal, A. T. Friberg, and E. Wolf, "Elimination of distortion by phase conjugation without losses or gains," Opt. Commun. 43, 446–450 (1982).

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).

Lam, J. F.

Morse, P. M.

P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953), Vol. 1, pp. 873–883.

Paré, C.

Pepper, D. M.

J. Auyeung, D. Fekete, D. M. Pepper, and A. Yariv, "A theoretical and experimental investigation of the modes of optical resonators with phase-conjugate mirrors," IEEE J. Quantum Electron. QE-15, 1180–1188 (1979).

Piché, M.

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).

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.

Slepian, D.

D. Slepian and H. O. Pollack, "Prolate spheroidal wave functions, Fourier analysis and uncertainty," Bell Syst. Tech. J. 40, 43–64 (1961).

Weber, H.

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

Wolf, E.

G. S. Agarwal, A. T. Friberg, and E. Wolf, "Elimination of distortion by phase conjugation without losses or gains," Opt. Commun. 43, 446–450 (1982).

Yariv, A.

J. Auyeung, D. Fekete, D. M. Pepper, and A. Yariv, "A theoretical and experimental investigation of the modes of optical resonators with phase-conjugate mirrors," IEEE J. Quantum Electron. QE-15, 1180–1188 (1979).

Appl. Opt. (4)

Bell Syst. Tech. J. (1)

D. Slepian and H. O. Pollack, "Prolate spheroidal wave functions, Fourier analysis and uncertainty," Bell Syst. Tech. J. 40, 43–64 (1961).

IEEE J. Quantum Electron. (2)

A. Hardy, "Sensitivity of phase-conjugate resonators to intriacavity phase perturbations," IEEE J. Quantum Electron. QE-17, 1581–1585 (1981).

J. Auyeung, D. Fekete, D. M. Pepper, and A. Yariv, "A theoretical and experimental investigation of the modes of optical resonators with phase-conjugate mirrors," IEEE J. Quantum Electron. QE-15, 1180–1188 (1979).

J. Opt. Soc. Am. (1)

Opt. Commun. (2)

G. S. Agarwal, A. T. Friberg, and E. Wolf, "Elimination of distortion by phase conjugation without losses or gains," Opt. Commun. 43, 446–450 (1982).

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. (1)

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 (2)

A. E. Siegman, P. A. Bélanger, and A. Hardy, "Optical resonators using phase conjugate mirrors," in Optical Phase Conjugation, R. A. Fisher, ed. (Academic, New York, 1983), pp. 465–535.

P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953), Vol. 1, pp. 873–883.

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