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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 36, Iss. 15 — May. 20, 1997
  • pp: 3400–3412

Modes of resonators with dispersive phase-conjugate mirrors

Abdul-Azeez R. Al-Rashed and Bahaa E. A. Saleh  »View Author Affiliations


Applied Optics, Vol. 36, Issue 15, pp. 3400-3412 (1997)
http://dx.doi.org/10.1364/AO.36.003400


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Abstract

We investigate the transverse and longitudinal modes of a resonator consisting of a spherical mirror, a Gaussian aperture, and a dispersive phase-conjugate mirror (PCM). The photorefractive PCM introduces spatial dispersion in the form of lateral and focal shifts along with temporal dispersion. For both degenerate and nondegenerate operation, the decentered Gaussian beam was found to be a mode whose peak intensity is displaced from the resonator axis. In the nondegenerate case, the components of a mode oscillating at a pair of frequencies that are up and down shifted from the pump frequency by the same amount have different spatial distributions, so that the intensity pattern moves periodically across the output mirror. The resonance frequencies of the longitudinal modes are calculated numerically.

© 1997 Optical Society of America

History
Original Manuscript: May 13, 1996
Revised Manuscript: October 30, 1996
Published: May 20, 1997

Citation
Abdul-Azeez R. Al-Rashed and Bahaa E. A. Saleh, "Modes of resonators with dispersive phase-conjugate mirrors," Appl. Opt. 36, 3400-3412 (1997)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-36-15-3400


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References

  1. P. A. Belanger, A. Hardy, A. E. Siegman, “Resonant modes of optical cavities with phase-conjugate mirrors,” Appl. Opt. 19, 602–609 (1980). [CrossRef] [PubMed]
  2. P. A. Belanger, A. Hardy, A. E. Siegman, “Resonant modes of optical cavities with phase-conjugate mirrors: higher-order modes,” Appl. Opt. 19, 479–481 (1980). [CrossRef]
  3. J. F. Lam, W. P. Brown, “Optical resonators with phase-conjugate mirrors,” Opt. Lett. 5, 61–63 (1980). [CrossRef] [PubMed]
  4. J. Auyeung, D. Fekete, D. M. Pepper, 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). [CrossRef]
  5. I. M. Bel’dyugin, E. M. Zemskov, “Theory of resonators with wavefront-reversing mirrors,” Sov. J. Quantum Electron. 9, 1198–1199 (1979). [CrossRef]
  6. I. M. Bel’dyugin, M. G. Galushkin, E. M. Zemskov, “Properties of resonators with wavefront-reversing mirrors,” Sov. J. Quantum Electron. 9, 20–23 (1979). [CrossRef]
  7. I. M. Bel’dyugin, E. M. Zemskov, “Calculation of the field in a laser resonator with a wavefront-reversing mirror,” Sov. J. Quantum Electron. 10, 764–765 (1980). [CrossRef]
  8. M. G. Reznikow, A. I. Khizhnyak, “Properties of a resonator with a wavefront-reversing mirror,” Sov. J. Quantum Electron. 10, 633–634 (1980). [CrossRef]
  9. I. M. Bel’dyugin, B. Ya. Zel’dovich, M. V. Zolotarev, V. V. Shkunov, “Lasers with wavefront-reversing mirrors (review),” Sov. J. Quantum Electron. 15, 1583–1597 (1985). [CrossRef]
  10. A. Hardy, S. Hochhauser, “Higher-order modes of phase-conjugate resonators,” Appl. Opt. 21, 2330–2338 (1982). [CrossRef] [PubMed]
  11. P. A. Belanger, C. Pare, M. Piche, “Modes of phase-conjugate resonators with bounded mirrors,” J. Opt. Soc. Am. 73, 567–571 (1983). [CrossRef]
  12. A. Hardy, S. Hochhauser, “Phase-conjugate resonators with intracavity amplitude perturbations,” Appl. Opt. 21, 1118–1121 (1982). [CrossRef] [PubMed]
  13. A. Hardy, “Sensitivity of phase-conjugate resonators to intracavity phase perturbations,” IEEE J. Quantum Electron. QE-17, 1581–1585 (1981). [CrossRef]
  14. G. C. Valley, D. Fink, “Three-dimensional phase-conjugate-resonator performance,” J. Opt. Soc. Am. 73, 572–575 (1983). [CrossRef]
  15. M. Cronin-Golomb, B. Fischer, J. Nilsen, J. O. White, A. Yariv, “Laser with dynamic holographic intracavity distortion correction capability,” Appl. Phys. Lett. 41, 219–220 (1982). [CrossRef]
  16. R. C. Lind, D. G. Steel, “Demonstration of the longitudinal modes and aberration-correction properties of a continuous-wave dye laser with a phase-conjugate mirror,” Opt. Lett. 6, 554–556 (1981). [CrossRef] [PubMed]
  17. J. Feinberg, R. W. Hellwarth, “Phase-conjugating mirror with continuous-wave gain,” Opt. Lett. 5, 519–521 (1980). [CrossRef] [PubMed]
  18. R. K. Jain, G. J. Dunning, “Spatial and temporal properties of a continuous-wave phase-conjugate resonator based on the photorefractive crystal BaTiO3,” Opt. Lett. 7, 420–422 (1982). [CrossRef] [PubMed]
  19. M. B. Klein, G. L. Dunning, G. C. Valley, R. C. Lind, T. R. O’Meara, “Imaging threshold detector using a phase-conjugate resonator in BaTiO3,” Opt. Lett. 11, 575–577 (1986). [CrossRef] [PubMed]
  20. K. P. Lo, G. Indebetouw, “Iterative image processing using a cavity with a phase-conjugate mirror,” Appl. Opt. 31, 1745–1753 (1992). [CrossRef] [PubMed]
  21. L. E. Adams, R. S. Bondurant, “Adaptive spatially injection-locked heterodyne receiver,” Opt. Lett. 18, 226–228 (1993). [CrossRef] [PubMed]
  22. A. Yariv, S.-K. Kwong, “Associative memories based on message-bearing optical modes in phase-conjugate resonators,” Opt. Lett. 11, 186–188 (1986). [CrossRef] [PubMed]
  23. D. Z. Anderson, M. C. Erie, “Resonator memories and optical novelty filters,” Opt. Eng. 26, 434–444 (1987). [CrossRef]
  24. B. H. Soffer, G. J. Dunning, Y. Owechko, E. Marom, “Associative holographic memory with feedback using phase-conjugate mirrors,” Opt. Lett. 11, 118–120 (1986). [CrossRef] [PubMed]
  25. A. Desfarges, V. Kermene, B. Colombeau, M. Vampuille, C. Froehly, “Wave-front reconstruction with a Fourier hologram in a phase-conjugating mirror oscillator,” Opt. Lett. 20, 1940–1942 (1995). [CrossRef] [PubMed]
  26. A. E. Siegman, Lasers (University Science Books, Mill Valley, Calif., 1986).
  27. H. Kogelnik, T. Li, “Laser beams and resonators,” Appl. Opt. 5, 1550–1567 (1966). [CrossRef] [PubMed]
  28. R. A. Fisher, ed., Optical Phase Conjugation (Academic, San Diego, Calif., 1983), Chap. 13.
  29. W. Shaomin, H. Weber, “A spherical resonator equivalent to arbitrary phase-conjugate resonators,” Opt. Commun. 41, 360–362 (1982). [CrossRef]
  30. W. Shaomin, H. Weber, “Fundamental modes of stimulated scattering phase-conjugate resonators,” Opt. Acta 31, 971–977 (1984). [CrossRef]
  31. S. Umegaki, A. Kurita, S. Tanaka, “Unstable phase-conjugate resonator,” Jpn. J. Appl. Phys. 23, 436–441 (1984). [CrossRef]
  32. L. Qiang, L. Xuanhui, W. Shaomin, “Fundamental modes of phase-conjugate resonators with asymmetric Gaussian reflectivities,” Chin. J. Lasers 15, 715–717 (1988).
  33. G. Reiner, P. Meystre, E. M. Wright, “Transverse dynamics of a phase-conjugate resonator. I. Sluggish nonlinear medium,” J. Opt. Soc. Am. B 4, 675–686 (1987). [CrossRef]
  34. G. Reiner, M. R. Belic, P. Meystre, “Optical turbulence in phase-conjugate resonators,” J. Opt. Soc. Am. B 5, 1193–1210 (1988). [CrossRef]
  35. S. R. Liu, G. Indebetouw, “Spatiotemporal patterns and vortices motions in phase-conjugate resonators,” Opt. Commun. 101, 442–455 (1993). [CrossRef]
  36. G. C. Papen, B. E. A. Saleh, J. A. Tataronis, “Analysis of transient phase conjugation in photorefractive media,” J. Opt. Soc. Am. B 5, 1763–1774 (1988). [CrossRef]
  37. G. C. Papen, “Transient nonlinear wave mixing in photorefractive materials and plasmas, Ph.D. dissertation (University of Wisconsin, Madison, Wis., 1989).
  38. G. C. Papen, B. E. A. Saleh, “Lateral and focal shift of phase-conjugated beams in photorefractive materials,” Opt. Lett. 14, 745–747 (1989). [CrossRef] [PubMed]
  39. L. V. Nosova, “Modes and losses of a misaligned conjugate resonator,” Opt. Spectrosc. 62, 516–518 (1987).
  40. A. A. Kalinina, L. V. Nosova, V. E. Semenov, “Aberration properties of a conjugate resonator,” Sov. J. Quantum Electron. 18, 1282–1283 (1988). [CrossRef]
  41. A.-A. R. Al-Rashed, B. E. A. Saleh, “Decentered Gaussian beams,” Appl. Opt. 34, 6819–6825 (1995). [CrossRef] [PubMed]
  42. S. R. Liu, G. Indebetouw, “Periodic and chaotic spatiotemporal states in a phase-conjugate resonator using a photorefractive BaTiO3 phase-conjugate mirror,” J. Opt. Soc. Am. B 9, 1507–1520 (1992). [CrossRef]
  43. G. Indebetouw, S. R. Liu, “Defect-mediated spatial complexity and chaos in a phase-conjugate resonator,” Opt. Commun. 91, 321–336 (1992). [CrossRef]
  44. G. Indebetouw, D. R. Korwan, “Model of vortices nucleation in a photorefractive phase-conjugate resonator,” J. Mod. Opt. 41, 941–950 (1994). [CrossRef]
  45. D. R. Korwan, G. Indebetouw, “Effects of phase mismatch on the transverse dynamics of a phase-conjugate resonator at low Fresnel number,” Opt. Commun. 119, 305–312 (1995). [CrossRef]
  46. G. C. Valley, G. J. Dunning, “Observation of optical chaos in a phase-conjugate resonator,” Opt. Lett. 9, 513–515 (1984). [CrossRef] [PubMed]
  47. M. D. Skeldon, R. W. Boyd, “Transverse-mode structure of a phase-conjugate oscillator based on Brillouin-enhanced four-wave mixing,” IEEE J. Quantum. Electron. QE-25, 588–594 (1989). [CrossRef]
  48. M. Gower, D. Proch, eds., Optical Phase Conjugation (Springer-Verlag, New York, 1994), Chap. 8, p. 232.
  49. See, for example, P. Yeh, Introduction to Photorefractive Nonlinear Optics (Wiley, New York, 1993), Chap. 3, p. 93.
  50. L. W. Casperson, “Gaussian light beams in inhomogenous media,” Appl. Opt. 12, 2434–2441 (1973). [CrossRef] [PubMed]
  51. Y. Sun, A. E. Siegman, “Optical mode properties of laterally offset gain and index guiding structures,” IEEE J. Quantum Electron. 32, 1–6 (1996).
  52. A. Tovar, L. W. Casperson, “Off-axis complex-argument polynomial-Gaussian beams in optical systems,” J. Opt. Soc. Am. A 8, 60–68 (1991). [CrossRef]
  53. See, for example, B. E. A. Saleh, M. Teich, Fundamentals of Photonics (Wiley, New York, 1991), Chap. 3.
  54. R. Trebino, A. E. Siegman, “Phase-conjugate reflection at arbitrary angles using TEM00 pump beams,” Opt. Commun. 32, 1–3 (1980). [CrossRef]
  55. P. Gunter, J.-P. Huignard, eds., Photorefractive Materials and Their Applications, I, Vol. 61: Topics in Applied Physics (Springer Verlag, New York, 1988), Chap. 8, p. 238.
  56. M. B. Klein, “Beam coupling in undoped GaAs at 1.06 µm using the photorefractive effect,” Opt. Lett. 9, 350–352 (1984). [CrossRef] [PubMed]

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