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In this paper the temperature and thermal stress distribution in a simplified-mode transparent slab is calculated and then variation of refractive index is acquired based on the photo-elastic theory. Using the vector differential algorithm the refractive behavior of rays in such media is simulated, and luminous intensity distribution and shape of fringes at the receiving plane is predicted. The output of the program is in coincidence with the check experiment based on photo-elasticity technique, which indicates the correctness of our analysis method and light transmission calculation method. This research provides a practical means for improving the imaging quality of optical instruments.
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Keywords:
- photo-elastic /
- stress birefringence /
- ray trace
[1] Tian H D, Yu Z Y, Han L H, Liu Y M 2009 Chin. Phys. B18 1109
[2] Jia W G, Yang X Y 2005 Acta Phys. Sin. 54 1053 (in Chinese) [贾维国、杨性愉 2005 物理学报 54 1053 ]
[3] Phys. Sin. 57 4316 (in Chinese) [陈为兰、顾培夫、王 颖、章岳光、刘 旭 2008 物理学报 57 4316]
[4] Sakamaki Y, Nasu Y, Hashimoto T, Hattori K, Inoue Y, Takahashi H 2009 IEEE Photonics Technol. Lett. 21 938
[5] Ye W N, Xu D X, Janz S, Cheben P, Picard M J, Lamontagne B, Tarr N G 2005 J. Lightwave Technol. 23 1308
[6] Fadel M, Bülters M, Niemand M, Voges E, Krummrich P M 2009 J. Lightwave Technol. 27 698
[7] Guan R F, Li Z T, Hou B, Gan Z Y, Huang D X, Liu S 2005 J. Infrared Millim. Wave 24 45 (in Chinese) [关荣锋、李占涛、侯 斌、甘志银、黄德修、刘 胜 2005 红外与毫米波学报 24 45]
[8] Zhang X J, Zhao J L, Hou J P 2007 Acta Phys. Sin. 56 3065 (in Chinese)[张晓娟、赵建林、侯建平 2007 物理学报 56 4668]
[9] Inon M, Steven J 2002 Opt. Commun. 214 315
[10] Gu S T, Zhang G X, Huang G S 1991 Acta Phys. Sin. 40 399 (in Chinese)[顾绍庭、张国轩、黄国松 1991 物理学报 40 399]
[11] Chen W L, Gu P F, Wang Y, Zhang Y G, Liu X 2008 Acta
[12] Cen M, Zhang Y G, Chen W L, Gu P F 2009 Acta Phys. Sin. 58 7025 (in Chinese) [岑 忞、章岳光、陈为兰、顾培夫 2009 物理学报 58 7025]
[13] Rinaldi D, Pietroni P, Daví F 2009 Nucl. Instrum. Methods Phys. Res. Sect. A603 294
[14] Fan Z G, Zhang Y P, Pe Y W, Zhang J, He Y L 2007 J. Infrared Millim. Waves 26 396 (in Chinese) [范志刚、张亚萍、裴扬威、张 郡、何艳磊 2007 红外与毫米波学报 26 396]
[15] Theocaris P S, Gdoutos E E 1979 Matrix Theory of Photoelasticity ( Berlin; New York: Springer-Verlag) p108
[16] Zhang W Q 1992 Appl. Opt. 31 7328
[17] Xiao Y Q, Duan Z L 1990 Principle and method of photoelastic matrix (1rd edition)(Wuhan: Hust press) p401 (in Chinese)[肖永谦、段自力 1990 光弹性矩阵原理和方法 第1版 (武汉: 华中理工大学出版社p401)]
[18] Timoshenko S P, Goodier J N 2004 Theory of Elasticity (3rd edition)(Beijing: Tsinghua University Press) p22
[19] Simon M C 1983 Appl. Opt. 22 354
[20] Deng S T, Li X T, Cen Z F, Jian S F 2007 Appl. Opt. 46 3102
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[1] Tian H D, Yu Z Y, Han L H, Liu Y M 2009 Chin. Phys. B18 1109
[2] Jia W G, Yang X Y 2005 Acta Phys. Sin. 54 1053 (in Chinese) [贾维国、杨性愉 2005 物理学报 54 1053 ]
[3] Phys. Sin. 57 4316 (in Chinese) [陈为兰、顾培夫、王 颖、章岳光、刘 旭 2008 物理学报 57 4316]
[4] Sakamaki Y, Nasu Y, Hashimoto T, Hattori K, Inoue Y, Takahashi H 2009 IEEE Photonics Technol. Lett. 21 938
[5] Ye W N, Xu D X, Janz S, Cheben P, Picard M J, Lamontagne B, Tarr N G 2005 J. Lightwave Technol. 23 1308
[6] Fadel M, Bülters M, Niemand M, Voges E, Krummrich P M 2009 J. Lightwave Technol. 27 698
[7] Guan R F, Li Z T, Hou B, Gan Z Y, Huang D X, Liu S 2005 J. Infrared Millim. Wave 24 45 (in Chinese) [关荣锋、李占涛、侯 斌、甘志银、黄德修、刘 胜 2005 红外与毫米波学报 24 45]
[8] Zhang X J, Zhao J L, Hou J P 2007 Acta Phys. Sin. 56 3065 (in Chinese)[张晓娟、赵建林、侯建平 2007 物理学报 56 4668]
[9] Inon M, Steven J 2002 Opt. Commun. 214 315
[10] Gu S T, Zhang G X, Huang G S 1991 Acta Phys. Sin. 40 399 (in Chinese)[顾绍庭、张国轩、黄国松 1991 物理学报 40 399]
[11] Chen W L, Gu P F, Wang Y, Zhang Y G, Liu X 2008 Acta
[12] Cen M, Zhang Y G, Chen W L, Gu P F 2009 Acta Phys. Sin. 58 7025 (in Chinese) [岑 忞、章岳光、陈为兰、顾培夫 2009 物理学报 58 7025]
[13] Rinaldi D, Pietroni P, Daví F 2009 Nucl. Instrum. Methods Phys. Res. Sect. A603 294
[14] Fan Z G, Zhang Y P, Pe Y W, Zhang J, He Y L 2007 J. Infrared Millim. Waves 26 396 (in Chinese) [范志刚、张亚萍、裴扬威、张 郡、何艳磊 2007 红外与毫米波学报 26 396]
[15] Theocaris P S, Gdoutos E E 1979 Matrix Theory of Photoelasticity ( Berlin; New York: Springer-Verlag) p108
[16] Zhang W Q 1992 Appl. Opt. 31 7328
[17] Xiao Y Q, Duan Z L 1990 Principle and method of photoelastic matrix (1rd edition)(Wuhan: Hust press) p401 (in Chinese)[肖永谦、段自力 1990 光弹性矩阵原理和方法 第1版 (武汉: 华中理工大学出版社p401)]
[18] Timoshenko S P, Goodier J N 2004 Theory of Elasticity (3rd edition)(Beijing: Tsinghua University Press) p22
[19] Simon M C 1983 Appl. Opt. 22 354
[20] Deng S T, Li X T, Cen Z F, Jian S F 2007 Appl. Opt. 46 3102
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