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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 14, Iss. 10 — Oct. 1, 1997
  • pp: 2628–2640

Solutions to vector four-wave mixing in cubic photorefractive materials

D. A. Fish and A. K. Powell  »View Author Affiliations


JOSA B, Vol. 14, Issue 10, pp. 2628-2640 (1997)
http://dx.doi.org/10.1364/JOSAB.14.002628


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Abstract

We present an eight-dimensional matrix formulation of vector four-wave mixing. We study the case of a nonoptically active photorefractive for the transmission grating. The coupled equations are represented in a group formalism and irreducible forms are found. We show that when cross-polarization coupling is neglected, the system of equations is governed by two coupled SU(2) groups. We develop a theory that allows for pump depletion and electric-field-induced bulk birefringence. Analytical solutions are found when cubic 4¯3m materials are considered in two standard experimental geometries, i.e., electric fields perpendicular to the (110) crystal faces and electric fields perpendicular to the (001) crystal faces. Results are presented that show the effects of linear and circular polarized beams, and the use of these materials for vector phase conjugation is discussed. Solution routes to other geometries and noncubic photorefractive materials are also presented.

© 1997 Optical Society of America

Citation
D. A. Fish and A. K. Powell, "Solutions to vector four-wave mixing in cubic photorefractive materials," J. Opt. Soc. Am. B 14, 2628-2640 (1997)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-14-10-2628


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References

  1. M. Cronin-Golomb, B. Fischer, J. O. White, and A. Yariv, “Theory and applications of four wave mixing in photorefractive media,” IEEE J. Quantum Electron. 20, 12–30 (1984). [CrossRef]
  2. D. A. Fish, A. K. Powell, and T. J. Hall, “A steady state solution to four-wave mixing in the transmission geometryutilising the SU(2) group symmetry,” Opt. Commun. 88, 281–290 (1992). [CrossRef]
  3. P. Stojkov and M. R. Belić, “Symmetries of photorefractive four-wave mixing,” Phys. Rev. A 45, 5061–5064 (1992). [CrossRef] [PubMed]
  4. P. Yeh, “Two-wave mixing in nonlinear media,” IEEE J. Quantum Electron. 25, 484–519 (1989). [CrossRef]
  5. M. Petrović and M. R. Belić, “Vectorial two-beam mixing in photorefractive crystals,” Opt. Commun. 109, 338–347 (1994). [CrossRef]
  6. P. Stojkov, D. Timotijević, and M. R. Belić, “Symmetries of two-wave mixing in photorefractive crystals,” Opt. Lett. 17, 1406–1408 (1992). [CrossRef] [PubMed]
  7. P. D. Foote, “Optically induced anisotropic light diffractionin photorefractive crystals,” Ph.D. dissertation (King's College, Universityof London, London, UK, 1987).
  8. C. Stace, A. K. Powell, K. Walsh, and T. J. Hall, “Coupling modulation in photorefractive materials by applying ac electricfields,” Opt. Commun. 70, 509–514 (1989). [CrossRef]
  9. S. Trillo and S. Wabnitz, “Nonlinear phase distortion in phase conjugation by degenerate four-wavemixing in Kerr media,” J. Opt. Soc. Am. B 5, 195–201 (1988). [CrossRef]
  10. R. P. M. Green, D. Udaiyan, G. J. Crofts, D. H. Kim, and M. J. Damzen, “Holographic laser oscillator which adaptively corrects for polarizationand phase distortions,” Phys. Rev. Lett. 77, 3533–3536 (1996). [CrossRef] [PubMed]
  11. M. Zgonik and P. Gunter, “Cascaded nonlinearities in optical four-wave mixing,” J. Opt. Soc. Am. B 13, 570–576 (1996). [CrossRef]
  12. S. W. James and R. W. Eason, “Extraordinary-polarized light does not always yield the highest selectivityin self-pumped BaTiO3,” Opt. Lett. 16, 633–635 (1991). [CrossRef] [PubMed]
  13. W. Wu, S. Campbell, S. Zhou, and P. Yeh, “Polarization-encoded optical logic operations in photorefractive media,” Opt. Lett. 18, 1742–1744 (1993). [CrossRef] [PubMed]
  14. D. A. Fish and A. K. Powell, “Irreducible subgroups of SU(2, 2) in four-wave mixing,” J. Opt. Soc. Am. B 14, 1–13 (1997). [CrossRef]
  15. T. J. Hall, A. K. Powell, and C. Stace, “Vector four-wave mixing in cubic, optically active photorefractivemedia,” Opt. Commun. 75, 159–164 (1990). [CrossRef]
  16. M. W. McCall, “A study of vector coupled wave theoryin photorefractive media,” Ph.D. dissertation (King's College, Universityof London, London, UK, 1987).
  17. G. R. Barrett, A. K. Powell, and T. J. Hall, “The SU(2) dynamics of DFWM,” Opt. Commun. 89, 477–483 (1992). [CrossRef]
  18. M. J. Damzen, S. Camacho-Lopez, and R. P. M. Green, “Wave-mixing and vector phase conjugation by polarization-dependentsaturable absorption in Cr4+:YAG,” Phys. Rev. Lett. 76, 2894–2897 (1996). [CrossRef] [PubMed]

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