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).

References

[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 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 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 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 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 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 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

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 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 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 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 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 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 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

[1]	Liu Li-Qiang, Su Wei-Lun, Liu Jun-Ming, Zou Yu, Hong Li-Hong, Li Zhi-Yuan. Design and angular robustness test of chirped periodically poled lithium niobate crystal for 1064 nm second-harmonic generation experiment. Acta Physica Sinica, 2024, 73(17): 174204. doi: 10.7498/aps.73.20240778
[2]	Li Ming-Zhou, Li Zhi-Yuan. Structure design and numerical simulation of chirped periodically polarized lithium niobate crystal for broadband mid-infrared laser generation. Acta Physica Sinica, 2022, 71(13): 134206. doi: 10.7498/aps.71.20220016
[3]	Li Hai-Peng, Zhou Jia-Sheng, Ji Wei, Yang Zi-Qiang, Ding Hui-Min, Zhang Zi-Tao, Shen Xiao-Peng, Han Kui. Effect of edge on nonlinear optical property of graphene quantum dots. Acta Physica Sinica, 2021, 70(5): 057801. doi: 10.7498/aps.70.20201643
[4]	Liu Peng-Xiang, Li Wei, Guo Li-Yuan, Qi Feng, Pang Zi-Bo, Li Wei-Fan, Wang Ye-Long, Liu Zhao-Yang. Terahertz wave up-conversion detection based on organic nonlinear optical crystals. Acta Physica Sinica, 2021, 70(5): 050701. doi: 10.7498/aps.70.20201908
[5]	Bai Rui-Xue, Yang Jue-Han, Wei Da-Hai, Wei Zhong-Ming. Research progress of low-dimensional semiconductor materials in field of nonlinear optics. Acta Physica Sinica, 2020, 69(18): 184211. doi: 10.7498/aps.69.20200206
[6]	Shang Ling-Ling, Qian Xuan, Sun Tian-Jiao, Ji Yang. Interference rings induced by ultrafast laser pulse in GaAs crystal. Acta Physica Sinica, 2020, 69(21): 214202. doi: 10.7498/aps.69.20201055
[7]	Zhang Yan, Zhao Yue-Feng, Zhao Li-Na, Zheng Li-Ren, Gao Yuan-Mei. Special scattering in photorefractive crystal LiNbO3:Fe. Acta Physica Sinica, 2017, 66(8): 084206. doi: 10.7498/aps.66.084206
[8]	Guan Jia, Gu Yi-Sheng, Zhu Cheng-Jie, Yang Ya-Ping. Low-noise optical field phase-shifting manipulated using a coherently-prepared three-level atomic medium. Acta Physica Sinica, 2017, 66(2): 024205. doi: 10.7498/aps.66.024205
[9]	Deng Jun-Hong, Li Gui-Xin. Nonlinear photonic metasurfaces. Acta Physica Sinica, 2017, 66(14): 147803. doi: 10.7498/aps.66.147803
[10]	Chen Wei-Jun, Lu Ke-Qing, Hui Juan-Li, Wang Chun-Xiang, Yu Hui-Min, Hu Kai. Study on nonlinear surface waves along the boundary of LiNbO3 crystals. Acta Physica Sinica, 2015, 64(1): 014204. doi: 10.7498/aps.64.014204
[11]	Zhang Long, Han Hai-Nian, Hou Lei, Yu Zi-Jiao, Zhu Zheng, Jia Yu-Lei, Wei Zhi-Yi. Supercontinuum generation in photonic crystal fiber and tapered single-mode fiber. Acta Physica Sinica, 2014, 63(19): 194208. doi: 10.7498/aps.63.194208
[12]	Feng Tian-Run, Lu Ke-Qing, Chen Wei-Jun, Liu Shu-Qin, Niu Ping-Juan, Yu Li-Yuan. Study on surface waves formed at the interface between linear dielectric and centrosymmetric photorefractive crystals. Acta Physica Sinica, 2013, 62(23): 234205. doi: 10.7498/aps.62.234205
[13]	Sun Bo, Liu Jin-Song, Ling Fu-Ri, Wang Ke-Jia, Zhu Da-Qing, Yao Jian-Quan. Investigation of the operation characteristics of terahertz-wave parametric oscillator based on LiTaO3. Acta Physica Sinica, 2009, 58(3): 1745-1751. doi: 10.7498/aps.58.1745
[14]	Huang Xiao-Ming, Tao Li-Min, Guo Ya-Hui, Gao Yun, Wang Chuan-Kui. Theoretical studies of nonlinear optical properties of a novel double-conjugated-segment molecule. Acta Physica Sinica, 2007, 56(5): 2570-2576. doi: 10.7498/aps.56.2570
[15]	Yang Guang, Chen Zheng-Hao. Large optical nonlinearities in Ag-doped BaTiO3 nanocomposite films. Acta Physica Sinica, 2007, 56(2): 1182-1187. doi: 10.7498/aps.56.1182
[16]	Xu Jie, Chen Li-Xiang, Zheng Guo-Liang, Wang Hong-Cheng, She Wei-Long. Wave coupling theory of optical activity in birefringent crystal. Acta Physica Sinica, 2007, 56(8): 4615-4621. doi: 10.7498/aps.56.4615
[17]	Sun Bo, Yao Jian-Quan, Wang Zhuo, Wang Peng. Study of tunable terahertz-wave generation via difference frequency mixing in isotropic semiconductor crystals. Acta Physica Sinica, 2007, 56(3): 1390-1396. doi: 10.7498/aps.56.1390
[18]	Yang Yi-Sheng, Zheng Wan-Guo, Han Wei, Che Ya-Liang, Tan Ji-Chun, Xiang Yong, Jia Huai-Ting. Group-velocity-matching relation in the mixing process of broadband third-harmonic generation. Acta Physica Sinica, 2007, 56(11): 6468-6472. doi: 10.7498/aps.56.6468
[19]	Liang Xiao-Rui, Zhao Bo, Zhou Zhi-Hua. Ab initio study on the second-order nonlinear optical properties of some coumarin derivatives. Acta Physica Sinica, 2006, 55(2): 723-728. doi: 10.7498/aps.55.723
[20]	Hao Zhong-Hua, Liu Jin-Song. Modulation on dynamical evolution of Gaussian beam in an unbiased serial photorefractive crystal circuit. Acta Physica Sinica, 2002, 51(12): 2772-2777. doi: 10.7498/aps.51.2772*

Catalog

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

Metrics

Abstract views: 9859
PDF Downloads: 499
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板