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基于CQ4脉冲功率实验装置开展了Z-切石英晶体在磁驱动准等熵加载下的窗口折射率修正关系研究. 实验中采用激光波长1550 nm的双源光外差测速仪测量获得了LiF窗口和Z-切石英晶体窗口与不同厚度极板界面的粒子速度. 利用反积分方法由实验测得的LiF窗口与极板界面粒子速度计算得到了极板的加载磁压力历史; 以获得的磁压力为输入条件, 采用LS-DYNA计算软件正向计算得到石英晶体窗口与极板界面的真实粒子速度历史. 由实验获得的Z-切石英晶体窗口/极板界面表观粒子速度和计算得到的真实粒子速度, 获得了Z-切石英晶体弹性极限内的连续的折射率修正关系, 将其折射率修正关系的适用压力范围拓宽至14.55 GPa. 表观粒子速度与真实粒子速度关系采用线性拟合时, 折射率修正关系为n=1.087 ( 0.008)+0.4408/0, 与冲击数据拟合的结果一致. 由折射率实验数据对Z-切石英晶体的极化率分析认为, 在其弹性极限压力范围内加载路径和温度对折射率的影响可以忽略.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.
[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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[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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