OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 15, Iss. 3 — Mar. 1, 1998
  • pp: 1086–1095

Phase-conjugation properties of two-photon-pumped backward-stimulated emission. II. Theoretical studies

Guang S. He, Ning Cheng, Paras N. Prasad, Dun Liu, and Song H. Liu  »View Author Affiliations

JOSA B, Vol. 15, Issue 3, pp. 1086-1095 (1998)

View Full Text Article

Acrobat PDF (314 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Recent experimental results have shown that the highly directional frequency-upconverted backward-stimulated emission from a two-photon-pumped lasing medium possesses the property of optical phase conjugation. To explain this property, a Gabor’s quasi-collinear holographic model is proposed for a two-photon-pumped gain medium. According to this model, the input IR pump beam (after passing through a phase-distorting medium or an aberration plate) can be assumed to consist of two parts: an undisturbed regular portion and a phase-distorted irregular portion. These two portions interfere with each other and create a volume holographic grating within the pumped region inside the gain medium. While an initial regular backward-stimulated emission (as a reading beam) is passing through this holographic grating, a diffracted wave is created and amplified together with the reading beam. A rigorous mathematical analysis shows that under certain conditions the combination of these two parts (the reading beam plus the diffracted wave) of the backward-stimulated emission can be an approximate phase-conjugate field of the total input-pump field.

© 1998 Optical Society of America

OCIS Codes
(140.3460) Lasers and laser optics : Lasers
(190.0190) Nonlinear optics : Nonlinear optics
(190.5040) Nonlinear optics : Phase conjugation

Guang S. He, Ning Cheng, Paras N. Prasad, Dun Liu, and Song H. Liu, "Phase-conjugation properties of two-photon-pumped backward-stimulated emission. II. Theoretical studies," J. Opt. Soc. Am. B 15, 1086-1095 (1998)

Sort:  Author  |  Year  |  Journal  |  Reset


  1. G. S. He and P. N. Prasad, “Phase-conjugation properties of two-photon-pumped backward-stimulated emission. I. Experimental studies,” J. Opt. Soc. Am. B 15, 1078–1085 (1998).
  2. R. A. Fisher, ed., Optical Phase Conjugation (Academic, New York, 1983).
  3. A. Yariv, “Phase conjugate optics and real-time holography,” IEEE J. Quantum Electron. 14, 650–660 (1978).
  4. R. W. Hellwarth, “Generation of time reversal wavefronts by nonlinear refraction,” J. Opt. Soc. Am. 67, 1–3 (1977).
  5. D. M. Bloom and G. C. Bjorklund, “Conjugate wave front generation and image reconstruction by four-wave mixing,” Appl. Phys. Lett. 31, 592–594 (1977).
  6. A. Yariv and D. M. Pepper, “Amplified refraction, phase conjugation, and oscillation in degenerate four-wave mixing,” Opt. Lett. 1, 16–18 (1977).
  7. D. G. Steel, R. C. Lind, J. F. Lam, and C. R. Giuliano, “Polarization-rotation and thermal-motion studies via resonant degenerate four-wave mixing,” Appl. Phys. Lett. 35, 376–379 (1979).
  8. G. Martin and R. W. Hellwarth, “Infrared-to-optical image conversion by Bragg reflection from thermally induced index gratings,” Appl. Phys. Lett. 34, 371–373 (1979).
  9. B. Ya. Zel’dovich, V. I. Popovichev, V. V. Ragul’skii, and F. S. Faizullov, “Connection between the wave fronts of the reflected and exciting light in stimulated Mandel’shtam-Brillouin scattering,” JETP Lett. 15, 109–112 (1972).
  10. O. Yu. Nosach, V. I. Popovichev, V. V. Ragul’skii, and F. S. Faizullov, “Cancellation of phase distortions in an amplifying medium with a ‘Brillouin mirror, ' ” JETP Lett. 16, 435–438 (1972).
  11. V. Wang and C. R. Giuliano, “Correction of phase aberrations via stimulated Brillouin scattering,” Opt. Lett. 2, 4–6 (1978).
  12. A. I. Sokolovskaya, G. L. Brekhovskikh, and A. D. Kudryavtseva, “Light beam wavefront reconstruction and real volume image reconstruction of the object at the stimulated Raman scattering,” Opt. Commun. 24, 74–76 (1978).
  13. A. D. Kudriavtseva, A. L. Sokolovskaia, J. Gazengel, N. P. Xuan, and G. Rivoire, “Reconstruction of the laser wave-front by stimulated scattering in the pico-second range,” Opt. Commun. 26, 446–448 (1978).
  14. R. W. Hellwarth, “Theory of phase conjugation by stimulated scattering in a waveguide,” J. Opt. Soc. Am. 68, 1050–1056 (1978).
  15. H. Hsu, “Large-signal theory of phase-conjugate backscatterings,” Appl. Phys. Lett. 34, 855–857 (1979).
  16. B. Ya. Zel’dovich, N. F. Pilipetsky, and V. V. Shkunov, Principles of Phase Conjugation (Springer-Verlag, Berlin, 1985).
  17. G. G. Kochemasov and V. D. Nikolaev, “Reproduction of the spatial amplitude and phase distributions of a pump beam in stimulated Brillouin scattering,” Sov. J. Quantum Electron. 7, 60–63 (1977).
  18. I. M. Bel’dyugin, M. G. Galushkin, E. M. Zemskov, and V. I. Mandrosov, “Complex conjugation of field in stimulated Brillouin scattering,” Sov. J. Quantum Electron. 6, 1349–1351 (1977).
  19. B. Ya. Zel’dovich and V. V. Shkunov, “Wavefront reproduction in stimulated Raman scattering,” Sov. J. Quantum Electron. 7, 610–615 (1977).
  20. N. B. Baranova, B. Ya. Zel’dovich, and V. V. Shkunov, “Wavefront reversal in stimulated light scattering in a focused spatially inhomogeneous pump beam,” Sov. J. Quantum Electron. 8, 559–566 (1978).
  21. N. B. Baranova and B. Ya. Zel’dovich, “Wavefront reversal of focused beams (theory of stimulated Brillouin backscattering),” Sov. J. Quantum Electron. 10, 555–560 (1980).
  22. V. I. Bespalov, V. G. Manishin, and G. A. Pasmanik, “Nonlinear selection of optical radiation on reflection from a stimulated Mandel’shtam-Brillouin scattering mirror,” Sov. Phys. JETP 50, 879–886 (1979).
  23. V. G. Sidorovich and V. V. Shkunov, “Capture of a Stokes pump wave in a stimulated-Raman-scattering amplifier,” Sov. Phys. Tech. Phys. 24, 472–476 (1979).
  24. Y. R. Shen, The Principles of Nonlinear Optics (Wiley, New York, 1984), p. 254.
  25. M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, London, 1983), p. 453.
  26. G. S. He, D. Liu, and S. H. Liu, “A new physical explanation of producing phase-conjugate wave process in backward stimulated scattering,” Bull. Am. Phys. Soc. 30, 1800 (1985).
  27. G. S. He, D. Liu, and S. H. Liu, “New physical explanation of phase-conjugate wave generation in backward stimulated scattering,” Chin. Phys. Lasers 13, 713–717 (1986).
  28. R. W. Boyd, Nonlinear Optics (Academic, Boston, 1992), pp. 245–252, 343–347.
  29. G. S. He, M. Yoshida, J. D. Bhawalkar, and P. N. Prasad, “Two-photon resonance-enhanced refractive index change and self-focusing in a dye-solution-filled hollow fiber system,” Appl. Opt. 36, 1155–1163 (1997).
  30. A. Yariv, Optical Electronics, 3rd ed. (Holt, Rinehart & Winston, New York, 1985), pp. 28–34.
  31. G. S. He, Y. Cui, M. Yoshida, and P. N. Prasad, “Phase-conjugate backward stimulated emission from a two-photon-pumped lasing medium,” Opt. Lett. 22, 10–12 (1997).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited