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First, a frequency doubling model with 4-dimensional temperature-beam coupling was proposed in this paper on the assumption of an infinite transverse crystal section. The frequency doubling process, by using analytical formula and iterative method, was simulated in the BBO crystal pumped by a laser with watt-level power. The amplitudes and conversion efficiencies of the fundamental, and harmonic beams and temperature distributions were obtained, together with the time evolution of temperature field and beam intensities. The influence of the pumping power and crystal length on the conversion efficiency and temperature field was analyzed secondly. The results finally showed that the temperature distribution has great influence on the conversion efficiency and beam quality. A compensation for the phase mismatch induced by temperature can well improve the reduction of conversion efficiency induced by the thermal effect, which thus should be considered in practice.
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Keywords:
- frequency doubling /
- temperature field /
- BBO crystal
[1] Dmitriev V G, Gurzadyan G G, Nikogosyan D N 1999 Handbook on Nonlinear Optical Crystals (Berlin: Springer-Verlag).
[2] Haas R A 1995 Opt. Commun. 113 523
[3] Louchev O A, Yu N E, Kurimura S, Kitamura K 2005 Appl. Phys. Lett. 87 131101
[4] Tovstonog S V, Kurimura S, Suzuki I, Takeno K, Moriwaki S, Ohmae N, Mio N, Katagai T 2008 Opt. Express 16 11294
[5] Hu M, Ge J H, Chen J, Liu C 2009 Acta Phys. Sin. 58 1719 (in Chinese) [胡 淼、葛剑虹、陈 军、刘 崇 2009 物理学报 58 1719]
[6] Dreger M A, Mciver J K 1990 J. Opt. Soc. Am. B 7 776
[7] Shi P, He H Y, Li L, Bai J T, Gan A S 2005 Acta Photonica Sin. 34 805 (in Chinese)[史 彭、何化岳、李 隆、白晋涛、甘安生 2005 光子学报 34 805]
[8] Huang J J, Andreev Yu M, Lanskii G V, Shaiduko A V 2007 The 8th International Conference "Atomic and molecular pulsed lasers" (Tomsk: IAO SB RAS) p95
[9] Huang J J, Hu X Y, Ren D M, Qu Y C 2006 J. Opt. Soc. Am. B 23 1312
[10] Shen Y R 1984 Principles of Nonlinear optics (1st ed) (New York: John Wiley & Son)
[11] Arisholm G 1997 J. Opt. Soc. Am. B 14 2543
[12] Liang K M 1998 Mathematical physics methods (2nd ed) (Bei jing: Higher Education Press) p147 (in Chinese)[梁昆淼 1998 数学物理方法 (北京:高等教育出版社) 第147页]
[13] Bhar G C, Das S, Chatterjee U 1989 Appl. Opt. 28 202
[14] Nikogosyan D N 1991 Appl. Phys. A 52 359
[15] Lv T Z, Wang T, Qian L J, Lu X, Wei Z Y, Zhang J 2002 Acta Phys. Sin. 51 1268 (in Chinese)[吕铁铮、王 韬、铁列加、鲁 欣、魏志义、张 杰 2002 物理学报 51 1268]
[16] Kanai T, Zhou X, Sekikawa T, Watanabe S, Togashi T 2003 Opt. Lett. 28 1484
[17] Liu Y Q, Zhang J, Lian W X, Wang Z H 2005 Acta Phys. Sin. 54 1593 (in Chinese)[刘运全、张 杰、梁文锡、王兆华 2005 物理学报 54 1593]
[18] Boyd G D, Kleinman D A 1968 J. Appl. Phys. 39 3597
[19] Nikogosyan D N 2005 Nonlinear Optical Crystals: A Complete Survey(New York: Springer-Verlag) p5, 14
[20] Benenson W, Harris J W, Stocker H, Lutz H 2002 Handbook of Physics (4th ed) (New York: Springer-Verlag) p752
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[1] Dmitriev V G, Gurzadyan G G, Nikogosyan D N 1999 Handbook on Nonlinear Optical Crystals (Berlin: Springer-Verlag).
[2] Haas R A 1995 Opt. Commun. 113 523
[3] Louchev O A, Yu N E, Kurimura S, Kitamura K 2005 Appl. Phys. Lett. 87 131101
[4] Tovstonog S V, Kurimura S, Suzuki I, Takeno K, Moriwaki S, Ohmae N, Mio N, Katagai T 2008 Opt. Express 16 11294
[5] Hu M, Ge J H, Chen J, Liu C 2009 Acta Phys. Sin. 58 1719 (in Chinese) [胡 淼、葛剑虹、陈 军、刘 崇 2009 物理学报 58 1719]
[6] Dreger M A, Mciver J K 1990 J. Opt. Soc. Am. B 7 776
[7] Shi P, He H Y, Li L, Bai J T, Gan A S 2005 Acta Photonica Sin. 34 805 (in Chinese)[史 彭、何化岳、李 隆、白晋涛、甘安生 2005 光子学报 34 805]
[8] Huang J J, Andreev Yu M, Lanskii G V, Shaiduko A V 2007 The 8th International Conference "Atomic and molecular pulsed lasers" (Tomsk: IAO SB RAS) p95
[9] Huang J J, Hu X Y, Ren D M, Qu Y C 2006 J. Opt. Soc. Am. B 23 1312
[10] Shen Y R 1984 Principles of Nonlinear optics (1st ed) (New York: John Wiley & Son)
[11] Arisholm G 1997 J. Opt. Soc. Am. B 14 2543
[12] Liang K M 1998 Mathematical physics methods (2nd ed) (Bei jing: Higher Education Press) p147 (in Chinese)[梁昆淼 1998 数学物理方法 (北京:高等教育出版社) 第147页]
[13] Bhar G C, Das S, Chatterjee U 1989 Appl. Opt. 28 202
[14] Nikogosyan D N 1991 Appl. Phys. A 52 359
[15] Lv T Z, Wang T, Qian L J, Lu X, Wei Z Y, Zhang J 2002 Acta Phys. Sin. 51 1268 (in Chinese)[吕铁铮、王 韬、铁列加、鲁 欣、魏志义、张 杰 2002 物理学报 51 1268]
[16] Kanai T, Zhou X, Sekikawa T, Watanabe S, Togashi T 2003 Opt. Lett. 28 1484
[17] Liu Y Q, Zhang J, Lian W X, Wang Z H 2005 Acta Phys. Sin. 54 1593 (in Chinese)[刘运全、张 杰、梁文锡、王兆华 2005 物理学报 54 1593]
[18] Boyd G D, Kleinman D A 1968 J. Appl. Phys. 39 3597
[19] Nikogosyan D N 2005 Nonlinear Optical Crystals: A Complete Survey(New York: Springer-Verlag) p5, 14
[20] Benenson W, Harris J W, Stocker H, Lutz H 2002 Handbook of Physics (4th ed) (New York: Springer-Verlag) p752
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