An effective method for calculating phase-matching conditions in biaxial crystals

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• 作者：Guangwen Huo ; Yongcang Wang ; Meizhi Zhang
• 刊名：Applied Physics B: Lasers and Optics
• 出版年：2015
• 出版时间：August 2015
• 年：2015
• 卷：120
• 期：2
• 页码：239-246
• 全文大小：849 KB
• 参考文献：1.P.A. Franken, A.E. Hill, C.W. Peters, G. Weinreich, Phys. Rev. Lett. 7, 118 (1961)ADS View Article
  2.E. Herault, F. Balembois, P. Georges, T. Georges, Opt. Lett. 33, 1632 (2008)ADS View Article
  3.S. Zou, P. Li, L. Wang, M. Chen, G. Li, Appl. Phys. B 95, 685 (2009)ADS View Article
  4.Y. Zhang, U. Khadka, B. Anderson, M. Xiao, Phys. Rev. Lett. 102, 013601 (2009)ADS View Article
  5.V. Petrov, M. Ghotbi, O. Kokabee, A. Esteban-Martin, F. Noack, A. Gaydardzhiev, I. Nikolov, P. Tzankov, I. Buchvarov, K. Miyata, A. Majchrowski, I.V. Kityk, F. Rotermund, E. Michalski, M. Ebrahim-Zadeh, Laser Photonics Rev. 4, 53 (2010)View Article
  6.Y. Zhang, Z. Wang, Z. Nie, C. Li, H. Chen, K. Lu, M. Xiao, Phys. Rev. Lett. 106, 093904 (2011)ADS View Article
  7.P.G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A.V. Sergienko, Y.H. Shih, Phys. Rev. Lett. 75, 4337 (1995)ADS View Article
  8.D. Bouwmeester, J.W. Pan, M. Daneill, H. Weinfurter, A. Zeilinger, Phys. Rev. Lett. 82, 1345 (1999)MathSciNet ADS View Article
  9.J. Pan, D. Bouwmeester, M. Daniell, H. Weinfurter, A. Zeilinger, Nature 403, 515 (2000)ADS View Article
  10.J. Yao, T.S. Fahlen, J. Appl. Phys. 55, 65 (1984)ADS View Article
  11.DYu. Stepanov, V.D. Shigorin, G.P. Shipulo, Sov. J. Quantum Electron. 14, 1315 (1984)ADS View Article
  12.M. Kaschke, C. Koch, Appl. Phys. B 49, 419 (1989)ADS View Article
  13.M.A. Dreger, J.H. Erkkila, Opt. Lett. 17, 787 (1992)ADS View Article
  14.J. Yao, W. Sheng, W. Shi, J. Opt. Soc. Am. B 9, 891 (1992)ADS View Article
  15.V.I. Zadorozhnii, Opt. Commun. 176, 489 (2000)ADS View Article
  16.M. Ghotbi, M. Ebrahim-Zadeh, Opt. Express 12, 6002 (2004)ADS View Article
  17.G. Huo, T. Zhang, R. Wan, G. Cheng, W. Zhao, Optik 124, 6627 (2013)View Article
  18.G. Huo, R. Wan, M. Zhang, G. Cheng, W. Zhao, Proc. SPIE 8333, 833313 (2012)View Article
  19.M.V. Fedorov, M.A. Efremov, P.A. Volkov, E.V. Moreva, S.S. Straupe, S.P. Kulik, Phys. Rev. Lett. 99, 063901 (2007)ADS View Article
  20.M.V. Fedorov, M.A. Efremov, P.A. Volkov, E.V. Moreva, S.S. Straupe, S.P. Kulik, Phys. Rev. A 77, 032336 (2008)ADS View Article
  21.M. Born, E. Wolf, Principles of Optics (Pergamon, Oxford, 1970)
  22.Kunihiko Kodaira, An Introduction to Calculus (Originally published in Japanese by Iwanami Shoten, Tokyo, 2003)
  23.H. Ito, H. Naito, H. Inaba, J. Appl. Phys. 46, 3992 (1975)ADS View Article
  24.H. Hellwig, J. Liebertz, L. Bohaty, J. Appl. Phys. 88, 240 (2000)ADS View Article
  25.P. Tzankov, V. Petrov, Appl. Opt. 44, 6971 (2005)ADS View Article
  26.V. Dmitriev, D. Nikogosyan, Opt. Commun. 95, 173 (1993)ADS View Article
  
• 作者单位：Guangwen Huo (1)
  Yongcang Wang (1)
  Meizhi Zhang (2)
  
  1. Department of Applied Science, Xijing University, Xi鈥檃n, 710123, China
  2. School of Electronics Engineering, Xi鈥檃n University of Posts and Telecommunications, Xi鈥檃n, 710121, China
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Electromagnetism, Optics and Lasers
  Physical Chemistry
  Laser Technology and Physics and Photonics
  Quantum Optics, Quantum Electronics and Nonlinear Optics
  Optical Spectroscopy and Ultrafast Optics
  Physics and Applied Physics in Engineering
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-0649

文摘

We present an effective method for calculating phase-matching conditions in biaxial crystals, especially for nonlinear orthorhombic crystals. Exploiting the angle definition introduced by Japanese mathematician Kodaira Kunihiko, we deduce the angular relations in geometry and obtain the expressions of refractive indices depending on angular orientation of wave vector k and optical axis angle. Then, we directly calculate the phase-matching conditions with BIBO crystal in spontaneous parametric down-conversion (SPDC) process and gain the optimum phase matching schemes for the type I and type II. On its basis, we discuss the angular gradients of the pump and emission wave refractive index near the exact phase matching direction and compare the SPDC with double-frequency process in geometrical relations of the refractive index ellipsoids. This method based on angle-dependent refractive index can be applied to three-wave interactions. It is convenient to calculate the phase matching parameters without solving the quadratic Fresnel equations.