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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 16, Iss. 7 — Jul. 1, 1999
  • pp: 1104–1111

Four-wave mixing with partially coherent waves in photorefractive media.I.Transmission grating approximation

Jianhua Zhao, Xianmin Yi, Xiaonong Shen, Ruibo Wang, and Pochi Yeh  »View Author Affiliations


JOSA B, Vol. 16, Issue 7, pp. 1104-1111 (1999)
http://dx.doi.org/10.1364/JOSAB.16.001104


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Abstract

We investigate the effect of beam temporal coherence on four-wave mixing via transmission gratings in photorefractive media. We take into account the propagation of mutual coherence and self-coherence in space and the evolution of mutual coherence and self-coherence with time. Analytical solutions for nondepleted-pump cases and numerical results for general cases are obtained. We find that the mutual coherence of the signal beam and the pump beam can be enhanced or reduced, depending on the coupling constant and the beam ratio of the signal beam and the pump beam. A decrease of the initial mutual coherence can lead to a lower phase-conjugate reflectivity in the nondepleted-pump case. Even with low initial mutual coherence, high phase-conjugate reflectivity can still be obtained in the case with pump depletion. As a result of the shift of the grating profile, partial coherence can lead to an enhancement of the phase-conjugate reflectivity when the signal–pump-beam ratio is small. We also found that when the initial value of the phase-conjugate beam is zero, the phase-conjugate beam and the pump beam are in phase during propagation. Results for beam intensity and mutual coherence are presented and discussed to provide an insight into four-wave mixing with partially temporally coherent waves.

© 1999 Optical Society of America

OCIS Codes
(190.4380) Nonlinear optics : Nonlinear optics, four-wave mixing
(190.5040) Nonlinear optics : Phase conjugation
(190.5330) Nonlinear optics : Photorefractive optics

Citation
Jianhua Zhao, Xianmin Yi, Xiaonong Shen, Ruibo Wang, and Pochi Yeh, "Four-wave mixing with partially coherent waves in photorefractive media.I.Transmission grating approximation," J. Opt. Soc. Am. B 16, 1104-1111 (1999)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-16-7-1104


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References

  1. See, for example, P. Yeh, Introduction to Photorefractive Nonlinear Optics (Wiley, New York, 1993).
  2. M. Cronin-Golomb, H. Kong, and W. Krolikowski, “Photorefractive two-beam coupling with light of partial spatiotemporal coherence,” J. Opt. Soc. Am. B 9, 1698 (1992).
  3. H. Kong, C. Wu, and M. Cronin-Golomb, “Photorefractive two-beam coupling with reduced spatiotemporal coherence,” Opt. Lett. 16, 1183 (1991).
  4. N. V. Bogodaev, L. I. Ivleva, A. S. Korshunov, N. M. Plolzkov, and V. V. Shkunov, “Increase of light-beam coherence by two-wave mixing in photorefractive crystal,” J. Opt. Soc. Am. B 10, 2287 (1993).
  5. X. Yi, S.-H. Lin, P. Yeh, and K. Y. Hsu, “Contradirectional two-wave mixing with partially coherent waves in photorefractive crystals,” Opt. Lett. 21, 1123 (1996).
  6. X. Yi, C. Yang, P. Yeh, S.-H. Lin, and K. Y. Hsu, “General solution of contradirectional two-wave mixing with partially coherent waves in photorefractive crystals,” J. Opt. Soc. Am. B 14, 1396 (1997).
  7. X. Yi and P. Yeh, “Two-wave mixing with partially coherent waves in high-speed photorefractive media,” J. Opt. Soc. Am. B 14, 2885 (1997).
  8. Q. B. He and P. Yeh, “Photorefractive mutually pumped phase conjugation with partially coherent beams,” Appl. Phys. B: Photophys. Laser Chem. 60, 47 (1995).
  9. S. D. L. Cruz, S. MacCormack, J. Feinberg, Q. B. He, H. Liu, and P. Yeh, “Effect of beam coherence on mutually pump phase conjugators,” J. Opt. Soc. Am. B 12, 1363 (1995).
  10. W. Krolikowski, “Photorefractive four-wave mixing with partially coherent light beams,” Appl. Phys. B: Photophys. Laser Chem. 65, 541 (1997).
  11. P. Yeh, “Fundamental limit of the speed of photorefractive effect and its impact on device applications and material research,” Appl. Opt. 26, 602 (1987).
  12. C. Gu and P. Yeh, “Reciprocity in photorefractive wave mixing,” Opt. Lett. 16, 455 (1991).

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