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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: George I. Stegeman
  • Vol. 22, Iss. 10 — Oct. 1, 2005
  • pp: 2185–2191

Investigation of the nonsymmetry of effective nonlinear optical coefficient expressions for low-symmetry crystals

Yin Xin, Zhang Shaojun, and Tian Zhaobing  »View Author Affiliations


JOSA B, Vol. 22, Issue 10, pp. 2185-2191 (2005)
http://dx.doi.org/10.1364/JOSAB.22.002185


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Abstract

For low-symmetry crystals that belong to 2 and m point groups, two kinds of nonlinear optical coefficients matrix were derived after the positive directions of the optical coordinate axes were defined with the aid of the piezoelectric coordinate axes. These two kinds of nonlinear optical coefficient matrix are the cause of the nonsymmetry of the effective nonlinear optical coefficients about the x, y, and z optical coordinate planes. For the corresponding wave vector k(theta,phi) in the Nth quadrant, the effective nonlinear optical coefficient expressions are d_eff^I=a_i^e2[d_ijk(omega3,omega2,omega1)]N+2^a_j^e1a_k^e1 (Type I) and d_eff^II=a_i^e2[d_ijk(omega3,omega2,omega1)]N+1^a_j^e1a_k^e2 (Type II), where N is the number of the quadrant. Only one kind of nonlinear optical coefficient matrix is the maximum effective nonlinear optical coefficient. It is necessary to find out which quadrant, in which the wave vector k(theta,phi) is located, corresponds to the maximum effective nonlinear optical coefficient.

© 2005 Optical Society of America

OCIS Codes
(190.4360) Nonlinear optics : Nonlinear optics, devices
(190.4400) Nonlinear optics : Nonlinear optics, materials

ToC Category:
Nonlinear Optics

Citation
Yin Xin, Zhang Shaojun, and Tian Zhaobing, "Investigation of the nonsymmetry of effective nonlinear optical coefficient expressions for low-symmetry crystals," J. Opt. Soc. Am. B 22, 2185-2191 (2005)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-22-10-2185


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References

  1. H. Rabin and C. L. Tang, Nonlinear Optics, Vol. 1 of Quantum Electronics (Academic, 1975), pp. 209-281.
  2. M. V. Hobden, "Phase matched second-harmonic generation in biaxial crystals," J. Appl. Phys. 38, 4365-4372 (1967).
  3. H. Ito, H. Naito, and H. Inaba, "New phase-matchable nonlinear optical crystals," IEEE J. Quantum Electron. QE-10, 247-252 (1974).
  4. H. Ito, "Generalized study on angular dependence of induced second-order nonlinear optical polarizations and phase matching in biaxial crystals," J. Appl. Phys. 49, 3992-3998 (1975).
  5. G. Aka, A. Kahn-harari, F. Mougel, and D. Vivien, "Linear and nonlinear-optical properties of a new gadolinium calcium oxoborate crystal, Ca4GDO(BO3)3," J. Opt. Soc. Am. B 14, 2238-2247 (1997).
  6. M. Iwai, T. Kobayashi, H. Furuya, Y. Mori, and T. Sasaki, "Crystal growth and optical characterization of rare-earth (Re) calcium oxyborate ReCa4O(BO3)3 (Re=Y or Gd) as new nonlinear optical material," Jpn. J. Appl. Phys. Part 1 36, L276-L279 (1997).
  7. Z. Wang, G. Xu, J. Liu, D. Hu, X. Xu, J. Wang, and Z. Shaso, "Nonlinear second-harmonic generation of BiB3O6," J. Opt. Soc. Am. B 21, 1348-1353 (2004).
  8. J. Minghua, Crystal Physics (Shandong Science and Technology Press, 1982; in Chinese), pp. 28-36.
  9. "Standards on piezoelectric crystals," Proc. IRE 37, 1378-1390 (1949).
  10. J. D. Biertein and C. B. Arweller, "Electro-optic and dielectric properties of KTiOPO4," Appl. Phys. Lett. 49, 917-919 (1986).

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