Theoretical model of phase-matching angles for KDP crystals and its verification analysis

Zhang Yang; Li Ting; Yuan Xiao-Dong; Xiong Zhao; Xu Xu; Ye Lang; Zhou Hai; Zhang Bin

doi:10.7498/aps.64.024213

Abstract

In final optics assembly of high-power solid-state laser, in order to improve the third harmonic generation efficiency, the accurate assembly and calibration of ultra-thin KH2PO4 (KDP) crystal with large-aperture is one of the key technologies to realize inertial confinement fusion. In order to meet the requirements for high efficiency and precision crystal of online installation, it is necessary to measure crystalline phase matching angle for achieving the highest third harmonic conversion efficiency of high power laser. In this paper, for the third harmonic conversion by ultra-thin type Ⅰ/Ⅱ KDP crystals with large-aperture, the relationship between phase matching angles at different locations on the crystal is obtained according to the nonlinear optical properties of the crystal. Based on the analysis of the propagation path of the laser beam in the crystal, the relationship among the crystal surface shape, the phase matching angle and the best deflection angle is given. On this basis, the theoretical model for phase-matching angle of type Ⅰ/Ⅱ KDP crystal is proposed, and verified by the experimental results. The results show that the difference in phase matching angle between the prediction values and the experimental results is within 10.0 rad, showing that the theoretical model for phase-matching angles of type Ⅰ/Ⅱ KDP crystals is valid. This model provides a simple and efficient prediction method to obtain the phase matching angle distribution in full aperture of KDP crystal.

Keywords:

Authors and contacts

1.
College of Electronics and Information Engineering, Sichuan University, Chengdu 610065, China;
2.
Research Center of Laser Fusion, China Academy Engineering Physics, Mianyang 621900, China
Funds: Project supported by the Science and Technology Foundation for Terahertz of China Academy of Engineering Physics, China (Grant No. CAEPTHZ201305) and the Program Innovation Team of the Education Department of Sichuan Province, China (Grant No. 13Td0048).

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Cited By

[1]	Zhu S J, Wang S L, Liu L, Wang D L, Li W D, Huang P P, Xu G X 2014 Acta Phys. Sin. 63 107701 (in Chinese) [朱胜军, 王圣来, 刘琳, 王端良, 李伟东, 黄萍萍, 许心光 2014 物理学报 63 107701]
[2]	Moses E I, Campbell J H, Stolz C J, Wuest C R 2003 Proc. SPIE 5001 1
[3]	Li S W, Song T M, Yi R Q, Cui Y L, Jiang X H, Wang Z B, Yang J M, Jiang S E 2011 Acta Phys. Sin. 60 055207 (in Chinese) [李三伟, 宋天明, 易荣清, 崔延莉, 蒋小华, 王哲斌, 杨家敏, 江少恩 2011 物理学报 60 055207]
[4]	Mainguy S, Airiau J P, Bart T, Beau V, Bordenave E, Bouillet S, Chappuis C, Chico S, Cormont P, Darbois N, Daurios J, Denis V, Eupherte L, Nathalie F D, Servane F, Gaborit G, Claire G G, Eric J, Laurent L, Thomas L, Eric L, Christophe L, Mangeant M, Maunier C, Néauport J, Etienne P M, Razé G, Claude R, Sajer J M, Seznec S, Taroux D, Vermersch S 2013 Proc. SPIE 8602 86020G
[5]	Ji L L, Zhu B Q, Zhan T Y, Dai Y P, Zhu J, Ma W X, Lin Z Q 2011 Acta Phys. Sin. 60 094210 (in Chinese) [季来林, 朱宝强, 詹廷宇, 戴亚平, 朱检, 马伟新, 林尊琪 2011 物理学报 60 094210]
[6]	Ma C, Li K, Wang C, Jia H, Feng B, Xiang Y, Zhao C Z, Wang L Q, Huang Z H 2005 Proc. SPIE 5934 59340E
[7]	Yang Y S, Zheng W G, Han W, Che Y L, Tan J C, Xiang Y, Jia H T 2007 Acta Phys. Sin. 56 6468 (in Chinese) [杨义胜, 郑万国, 韩伟, 车雅良, 谭吉春, 向勇, 贾怀庭 2007 物理学报 56 6468]
[8]	Huang J G, Lu J X, Zhou W, Tong J C, Huang Z M, Chu J H 2013 Acta Phys. Sin. 62 120704 (in Chinese) [黄敬国, 陆金星, 周炜, 童劲超, 黄志明, 褚君浩 2013 物理学报 62 120704]
[9]	Li Z Y, Bing P B, Xu D G, Cao X L, Yao J Q 2013 Acta Phys. Sin. 62 084212 (in Chinese) [李忠洋, 邴丕彬, 徐德刚, 曹小龙, 姚建铨 2013 物理学报 62 084212]
[10]	Sharifi S M, Talebpour A, Yang J, Chin S L 2010 Chin. Phys. B 19 155601
[11]	Wang W, Li K Y, Wang J, Han W, Wang F, Xiang Y, Li F Q, Jia H T, Wang L Q, Zhong W, Zhang X M, Zhao S Z, Feng B 2011 Opt. Laser Technol. 43 683
[12]	Zhong H Z, Yuan P, Zhu H Y, Qian L J 2013 Chin. Phys. Lett. 30 014208
[13]	Hibbard R L 1998 1998 Diffractive Optic and Micro Optics Conference Kailua, HI (United States), June 8-12, 1998 130318
[14]	Xu X, Xiong Z, Ye L, Liu C C, Yuan X D, Cao T F, Jia K 2013 High Power Laser and Particle Beams 25 3189 (in Chinese) [徐旭, 熊召, 叶朗, 刘长春, 袁晓东, 曹庭分, 贾凯 2013 强激光与粒子束 25 3189]
[15]	Kong C H 2010 M. S. Thesis (Mianyang: China Academy of Engineering Physics) (in Chinese) [孔晨晖 2010 硕士学位论文 (绵阳: 中国工程物理研究院)]
[16]	Wegner P J, Auerbach J M, Barker C E, Burkhart S C, Couture S A, DeYoreo J J, Hibbard R L, Liou L W, Norton M A, Whitman P K, Hackel L A 1999 Proc. SPIE 3492 392
[17]	Lubin O, Gouedard C 1999 Proc. SPIE 3492 802
[18]	Ott J H, Sliker T R 1964 JOSA 54 1442

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Vol. 64, Issue 2 - 2015-01-20

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