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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 14, Iss. 12 — Jun. 12, 2006
  • pp: 5535–5540

Wave coupling theory of Quasi-Phase-Matched linear electro-optic effect

Guoliang Zheng, Hongcheng Wang, and Weilong She  »View Author Affiliations

Optics Express, Vol. 14, Issue 12, pp. 5535-5540 (2006)

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Starting from Maxwell’s equations and taking the nonlinearity of linear electro-optic effect as a perturbation, we derive general wave coupling equations of quasi-phase-matched (QPM) linear electro-optic effect. And then we use the equations to study the electro-optic effect in PPLN. The numerical results indicate that the QPM condition plays an important role in electro-optic coupling. In addition, the coupling is very sensitive to the temperature and incident light wavelength, but it has a large tolerance to the direction of incident light.

© 2006 Optical Society of America

OCIS Codes
(160.2100) Materials : Electro-optical materials
(190.0190) Nonlinear optics : Nonlinear optics

ToC Category:
Nonlinear Optics

Original Manuscript: March 21, 2006
Revised Manuscript: May 31, 2006
Manuscript Accepted: June 1, 2006
Published: June 12, 2006

Guoliang Zheng, Hongcheng Wang, and Weilong She, "Wave coupling theory of Quasi-Phase-Matched linear electro-optic effect," Opt. Express 14, 5535-5540 (2006)

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  1. J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, "Interactions between light waves in a nonlinear dielectric," Phys. Rev. 127, 1918-1939 (1962). [CrossRef]
  2. K. Mizuuchi and K. Yamamoto, "Highly efficient quasi-phase-matched second-harmonic generation using a first-order periodically domain-inverted LiTaO3 waveguide," Appl. Phys. Lett. 60, 1283-1285 (1992). [CrossRef]
  3. S. N. Zhu, Y. Y. Zhu, and N. B. Ming, "Quasi-phase-matched third-harmonic generation in a quasi-periodic optical superlattice," Science 278,843-846 (1997). [CrossRef]
  4. D. Feng, N. B. Ming, J. F. Hong, Y. S. Yang, J. S. Zhu, Z. Yang, and Y. N. Wang, "Enhancement of second-harmonic generation in LiNbO3 crystals with periodic laminar ferroelectric domains," Appl. Phys. Lett. 37, 607-609 (1980). [CrossRef]
  5. S. N. Zhu, Y. Y. Zhu, Y. Q. Qin, H. F. Wang, C. Z. Ge, and N. B. Ming, "Experimental realization of second harmonic generation in a Fibonacci optical superlattice of LiTaO3," Phys. Rev. Lett. 78, 2752-2755 (1997). [CrossRef]
  6. G. Z. Luo, S. N. Zhu, J. L. He, Y. Y. Zhu, H. T. Wang, Z. W. Liu, C. Zhang, and N. B. Ming, "Simultaneously efficient blue and red light generations in a periodically poled LiTaO3," Appl. Phys. Lett. 78, 3006-3008 (2001). [CrossRef]
  7. K. K. Fradkin, A. Arie, P. Urenski, and G. Rosenman, "Multiple nonlinear optical interactions with arbitrary wave vector differences," Phys. Rev. Lett. 88,023903 (2002). [CrossRef]
  8. P. Xu, S. H. Ji, S. N. Zhu, X. Q. Yu, J. Sun, H. T. Wang, J. L. He, Y. Y. Zhu, and N. B. Ming, "Conical second harmonic generation in a two-dimensional χ(2) photonic crystal: a hexagonally poled LiTaO3 crystal," Phys. Rev. Lett. 93,133904 (2004). [CrossRef] [PubMed]
  9. A. Chowdhury, H. M. Ng, M. Bhardwaj, and N.G. Weimann, "Second-harmonic generation in periodically poled GaN," Appl. Phys. Lett. 83,1077-1079 (2003). [CrossRef]
  10. Y.Q. Lu, Z. L. Wan, Q. Wang, Y. X. Xi, and N. B. Ming, "Electro-optic effect of periodically poled optical superlattice LiNbO3 and its applications," Appl. Phys. Lett. 77,3719-3721 (2000). [CrossRef]
  11. Y. Q. Lu, M. Xiao, and G. J. Salamo, "Wide-bandwidth high frequency electro-optic modulator based on periodically poled LiNbO3," Appl. Phys. Lett. 78,1035-1037 (2001). [CrossRef]
  12. K. T. Gahagan, D. A. Scrymgeour, J. L. Casson, V. Gopalan, and J. M. Robinson, "Integrated high-power electro-optic lens and large-angle deflector," Appl. Opt. 40,5638-5642 (2001). [CrossRef]
  13. D. A. Scrymgeour, A. Sharan, V. Gopalan, K. T. Gahagan, and J. L. Casson, "Cascaded electro-optic scanning of laser light over large angles using domain microengineered ferroelectrics," Appl. Phys. Lett. 81,3140-3142 (2002). [CrossRef]
  14. A. Yariv, "Coupled-mode theory for guided-wave optics," IEEE J. Quantum Electron.QE 9,919-933 (1973). [CrossRef]
  15. W. L. She and W. K. Lee, "Wave coupling theory of linear electrooptic effect," Opt. Commun. 195, 303-311 (2001). [CrossRef]
  16. D. D. Wu, H. B. Chen, W. L. She, and W. K. Lee, "Wave coupling theory of the linear electro-optic effect in a linear absorbent medium," J. Opt. Soc. Am. B 22, 2366-2371 (2005). [CrossRef]
  17. J. F. Nye, Physical properties of crystals (Oxford University Press, Oxford, 1985), Chap. 13.
  18. M. V. Hobden and J. Warner, "The temperature dependence of the refractive indices of pure lithium niobate," Phys. Lett. 22, 243-244 (1966). [CrossRef]

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