Refractive index of Z-cut quartz under magnetically driven quasi-isentropic compression

Zhang Xu-Ping; Luo Bin-Qiang; Chong Tao; Wang Gui-Ji; Tan Fu-Li; Zhao Jian-Heng; Sun Cheng-Wei; Liu Cang-Li

doi:10.7498/aps.65.046201

Abstract

The refractive index of Z-cut quartz under magnetically driven quasi-isentropic compression is researched by using the pulsed power generator CQ-4. Its velocities of interface between the aluminum panel and the window are measured by a four-channel dual laser heterodyne velocimeter, which is operated at an incident laser wavelength of 1550 nm. The history profile of magnetic pressure on the electrodes is obtained by a backward integration calculation of the aluminum/LiF interface velocity. And then the pressure history profile is used in the LS-DYNA simulation to get the true particle velocity of the aluminum/quartz interface. Combining with the apparent particle of aluminum/quartz interface which is obtained from experiments, a continuous index of refraction in Z-cut quartz has been obtained at up to a pressure of 14.55 GPa as the longitudinal stress is gradually increased to its elastic limit. The relation between the apparent particle and true particle velocities can be fitted by a polynomial, and the required derivative obtained by differentiation of that polynomial. Refractive index determined from the linear fitting parameters is n=1.087 ( 0.008)+0.4408 /0, which agrees well with the previous shock results. Results from polarizability analysis suggest that the temperature and loading path should have less effect on the refractive index of Z-cut quartz within its elastic limit.

Keywords:

magnetically driven quasi-isentropic compression /
index of refraction /
elastic limit /
Z-cut quartz

Authors and contacts

1.
Institute of Fluid Physics, China Academy of Engineering Physics, Mianyang 621900, China;
2.
China Academy of Engineering Physics, Mianyang 621900, China

Corresponding author: Zhao Jian-Heng, jianh_zhao@caep.ac.cn

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11327803, 11176002, 11272295).

References

[1]	Barker L M, Hollenbach R E 1970 J. Appl. Phys. 41 4208
[2]	Setchell R E 1979 J. Appl. Phys. 50 8186
[3]	Setchell R E 2002 J. Appl. Phys. 91 2833
[4]	Fratanduono D E, Eggert J H, Boehly T R, Barrios M A, Meyerhofer D D, Jensen B J, Collins G W 2011 J. Appl. Phys. 110 083509
[5]	Jones S C, Gupta Y M 2000 J. Appl. Phys. 88 5671
[6]	Cao X X, Li J B, Li J, Li X H, Xu L, Wang Y, Zhu W J, Meng C M, Zhou X M 2014 J. Appl. Phys. 116 093516
[7]	Zhao W G, Zhou X M, Li J B, Zeng X L 2014 Chin. J. High Pressure Phys. 28 571 (in Chinese) [赵万广, 周显明, 李加波, 曾小龙 2014 高压 28 571]
[8]	Li X M, Yu Y Y, Li Y H, Ye S H,Weng J D 2010 Acta Phys. Sin. 61 156202 (in Chinese) [李雪梅, 俞宇颖, 李英华, 叶素华, 翁继东 2010 61 156202]
[9]	Ma Y, Li Z R, Hu S L, Li J B, Wang X S, Chen H, Weng J D, Liu J, Yu Y Y, Song P, Xiang Y M 2007 Chin. J. High Pressure Phys. 21 397 (in Chinese) [马云, 李泽仁, 胡绍楼, 李加波, 汪小松, 陈宏, 翁继东, 刘俊, 俞宇颖, 宋萍, 向曜民 2007 高压 21 397]
[10]	Hall C A, Asay J R, Knudson M D, Stygar W A, Spielman R B, Pointon T D, Reisman D B, Toor A, Cauble R C 2001 Rev. Sci. Instrum. 72 3587
[11]	Sun C W, Zhao J H, Wang G G, Zhang H P, Tan F L, Wang G H 2012 Adv. Mech. 42 206 (in Chinese) [孙承纬, 赵剑衡, 王桂吉, 张红平, 谭福利, 王刚华 2012 力学进展 42 206]
[12]	Wang G G, Zhao J H, Zhang H P, Sun C W, Tan F L, Wang G H, Mo J J, Cai J J, Wu G 2012 Eur. Phys. J. Special Topics 206 163
[13]	Fratanduono D E, Boehly T R, Barrios M A, Meyerhofer D D, Eggert J H, Smith R F, Hicks D G, Celliers P M, Braun D G, Collins G W 2011 J. Appl. Phys. 109 123521
[14]	Wackerle J, Stacy H L, Dallman J C 1987 Soc. Photo-Opt. Instrum. Eng. 832 72
[15]	Hayes D B 2001 J. Appl. Phys. 89 648
[16]	Hayes D B, Hall C A, Asay J R, Knudson M D 2003 J. Appl. Phys. 94 2331
[17]	Nazarov D V, Mikhailov A L, Fedorov A V, Manachkin S F, Urlin V D, Men'shikh A V, Finyushin S A, Davydov V A, Filinov E V 2006 Combust. Explo. Shock 42 351
[18]	Fratanduono D E, Eggert J H, Akin M C, Chau R, Holmes N C 2013 J. Appl. Phys. 114 043518
[19]	Li X M, Yu Y Y, Li Y H, Zhang L, Ma Y, Wang X S, Fu Q W 2010 Acta Phys. Sin. 59 2691 (in Chinese) [李雪梅, 俞宇颖, 李英华, 张林, 马云, 汪小松, 付秋卫 2010 59 2691]
[20]	Wackerle J 1962 J. Appl. Phys. 33 922
[21]	Wang G J, Luo B Q, Zhang X P, Zhao J H, Sun C W, Tan F L, Chong T, Mo J J, Wu G, Tao Y H 2013 Rev. Sci. Instrum. 84 015117
[22]	Zhang X P, Wang G J, Zhao J H, Tan F L, Luo B Q, Sun C W 2014 Rev. Sci. Instrum. 85 055110
[23]	Hayes D B 2001 Sandia National Laboratories Report SAND2001-1440
[24]	Zhang H P, Sun C W, Li M, Zhao J H 2011 Chin. J. Theor. Appl. Mech. 43 105 (in Chinese) [张红平, 孙承纬, 李牧, 赵剑衡 2011 力学学报 43 105]
[25]	Luo B Q, Wang G J, Tan F L, Zhao J H, Sun C W 2014 Chin. J. Theor. Appl. Mech. 46 241 (in Chinese) [罗斌强, 王桂吉, 谭福利, 赵剑衡, 孙承纬 2014 力学学报 46 241]
[26]	Ao T, Knudson M D, Asay J R, Davis J P 2009 J. Appl. Phys. 106 103507
[27]	LaLone B M, Fat'yanov O V, Asay J R, Gupta Y M 2008 J. Appl. Phys. 103 093505
[28]	Barrios M A, Boehly T R, Hicks D G, Fratanduono D E, Eggert J H, Collins G W, Meyerhofer D D 2012 J. Appl. Phys. 111 093515
[29]	Tan H 2007 Introduction to Experimental Shock Wave Physics (Beijing: National Defense Industry Press) pp37-91 (in Chinese) [谭华 2007 实验冲击波物理导引北京(国防工业出版社) 第3791页]
[30]	Tang W H, Zhang R Q 2008 Introduction of Theory and Computation of Equations of State (Beijing: Higher Education Press) pp230-239 (in Chinese) [汤文辉, 张若棋 2008 物态方程理论及计算概述 (北京: 高等教育出版社) 第230239页]

Cited By

[1]	Barker L M, Hollenbach R E 1970 J. Appl. Phys. 41 4208
[2]	Setchell R E 1979 J. Appl. Phys. 50 8186
[3]	Setchell R E 2002 J. Appl. Phys. 91 2833
[4]	Fratanduono D E, Eggert J H, Boehly T R, Barrios M A, Meyerhofer D D, Jensen B J, Collins G W 2011 J. Appl. Phys. 110 083509
[5]	Jones S C, Gupta Y M 2000 J. Appl. Phys. 88 5671
[6]	Cao X X, Li J B, Li J, Li X H, Xu L, Wang Y, Zhu W J, Meng C M, Zhou X M 2014 J. Appl. Phys. 116 093516
[7]	Zhao W G, Zhou X M, Li J B, Zeng X L 2014 Chin. J. High Pressure Phys. 28 571 (in Chinese) [赵万广, 周显明, 李加波, 曾小龙 2014 高压 28 571]
[8]	Li X M, Yu Y Y, Li Y H, Ye S H,Weng J D 2010 Acta Phys. Sin. 61 156202 (in Chinese) [李雪梅, 俞宇颖, 李英华, 叶素华, 翁继东 2010 61 156202]
[9]	Ma Y, Li Z R, Hu S L, Li J B, Wang X S, Chen H, Weng J D, Liu J, Yu Y Y, Song P, Xiang Y M 2007 Chin. J. High Pressure Phys. 21 397 (in Chinese) [马云, 李泽仁, 胡绍楼, 李加波, 汪小松, 陈宏, 翁继东, 刘俊, 俞宇颖, 宋萍, 向曜民 2007 高压 21 397]
[10]	Hall C A, Asay J R, Knudson M D, Stygar W A, Spielman R B, Pointon T D, Reisman D B, Toor A, Cauble R C 2001 Rev. Sci. Instrum. 72 3587
[11]	Sun C W, Zhao J H, Wang G G, Zhang H P, Tan F L, Wang G H 2012 Adv. Mech. 42 206 (in Chinese) [孙承纬, 赵剑衡, 王桂吉, 张红平, 谭福利, 王刚华 2012 力学进展 42 206]
[12]	Wang G G, Zhao J H, Zhang H P, Sun C W, Tan F L, Wang G H, Mo J J, Cai J J, Wu G 2012 Eur. Phys. J. Special Topics 206 163
[13]	Fratanduono D E, Boehly T R, Barrios M A, Meyerhofer D D, Eggert J H, Smith R F, Hicks D G, Celliers P M, Braun D G, Collins G W 2011 J. Appl. Phys. 109 123521
[14]	Wackerle J, Stacy H L, Dallman J C 1987 Soc. Photo-Opt. Instrum. Eng. 832 72
[15]	Hayes D B 2001 J. Appl. Phys. 89 648
[16]	Hayes D B, Hall C A, Asay J R, Knudson M D 2003 J. Appl. Phys. 94 2331
[17]	Nazarov D V, Mikhailov A L, Fedorov A V, Manachkin S F, Urlin V D, Men'shikh A V, Finyushin S A, Davydov V A, Filinov E V 2006 Combust. Explo. Shock 42 351
[18]	Fratanduono D E, Eggert J H, Akin M C, Chau R, Holmes N C 2013 J. Appl. Phys. 114 043518
[19]	Li X M, Yu Y Y, Li Y H, Zhang L, Ma Y, Wang X S, Fu Q W 2010 Acta Phys. Sin. 59 2691 (in Chinese) [李雪梅, 俞宇颖, 李英华, 张林, 马云, 汪小松, 付秋卫 2010 59 2691]
[20]	Wackerle J 1962 J. Appl. Phys. 33 922
[21]	Wang G J, Luo B Q, Zhang X P, Zhao J H, Sun C W, Tan F L, Chong T, Mo J J, Wu G, Tao Y H 2013 Rev. Sci. Instrum. 84 015117
[22]	Zhang X P, Wang G J, Zhao J H, Tan F L, Luo B Q, Sun C W 2014 Rev. Sci. Instrum. 85 055110
[23]	Hayes D B 2001 Sandia National Laboratories Report SAND2001-1440
[24]	Zhang H P, Sun C W, Li M, Zhao J H 2011 Chin. J. Theor. Appl. Mech. 43 105 (in Chinese) [张红平, 孙承纬, 李牧, 赵剑衡 2011 力学学报 43 105]
[25]	Luo B Q, Wang G J, Tan F L, Zhao J H, Sun C W 2014 Chin. J. Theor. Appl. Mech. 46 241 (in Chinese) [罗斌强, 王桂吉, 谭福利, 赵剑衡, 孙承纬 2014 力学学报 46 241]
[26]	Ao T, Knudson M D, Asay J R, Davis J P 2009 J. Appl. Phys. 106 103507
[27]	LaLone B M, Fat'yanov O V, Asay J R, Gupta Y M 2008 J. Appl. Phys. 103 093505
[28]	Barrios M A, Boehly T R, Hicks D G, Fratanduono D E, Eggert J H, Collins G W, Meyerhofer D D 2012 J. Appl. Phys. 111 093515
[29]	Tan H 2007 Introduction to Experimental Shock Wave Physics (Beijing: National Defense Industry Press) pp37-91 (in Chinese) [谭华 2007 实验冲击波物理导引北京(国防工业出版社) 第3791页]
[30]	Tang W H, Zhang R Q 2008 Introduction of Theory and Computation of Equations of State (Beijing: Higher Education Press) pp230-239 (in Chinese) [汤文辉, 张若棋 2008 物态方程理论及计算概述 (北京: 高等教育出版社) 第230239页]

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Vol. 65, Issue 4 - 2016-02-20

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