辐射测量中的成像效应

程晓舫; 辛成运; 王鲁平; 张忠政

doi:10.7498/aps.62.120702

摘要

明确了辐射的非成像测量和成像测量之间的差异并给出数学表述, 才能够把已经成熟的非成像辐射测量方法推广至成像测量. 本文从辐射测量的基本公式以及成像下目标微元与传感阵列像素的对应关系出发, 分别建立了关于辐射的非成像和成像测量式.根据成像面的存在不会改变辐射传输的事实, 比较非成像测量式和成像测量式后, 可得到成像效应的数学表述. 把成像效应与针孔和透镜两种成像技术结合后的分析指出: 成像效应的主因是成像光轴角, 辅因是测量天顶角; 辅因作用的大小取决于测量天顶角与发射天顶角的差异度.

关键词:

Abstract

The determination and mathematical descriptions of the difference between the imaging radiation measurement and the non-imaging radiation measurement which is of maturity are necessary for extending the radiation measurement from non-imaging technology to imaging technology. In this paper, the mathematical descriptions of the imaging and non-imaging radiation measurement are deduced based on the basic equations of radiation measurement and the correspondence between the infinitesimal planes of the target and sensor array. Because the imaging plane does not change the radiation transfer between the target and sensor, the mathematical descriptions of the imaging effect can be obtained by comparing the two mathematical descriptions. A concrete analysis of the imaging effect based on pinhole imaging and lens imaging is carried out. The results show that the primary cause of the imaging effect is the imaging optical axis angle while the subsidiary cause is the imaging zenith angle, and the influence of the subsidiary cause is determined by the difference between the imaging optical axis angle and the imaging zenith angle.

Keywords:

作者及机构信息

1.
中国科学技术大学热科学和能源工程系, 合肥 230027

基金项目: 国家自然科学基金(批准号: 50976112) 资助的课题.

Authors and contacts

1.
Department of Thermal Science and Energy Engineering, University of Science and Technology of China, Hefei 230027, China

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 50976112).

参考文献

[1]	Aplin K L, McPheat R A 2008 Rew. Sci. Instrum. 79 106107
[2]	Garnier A, Pelon J, Dubuisson P, Faivre M, Chomette O, Pascal N, Kratz D P 2012 J. Appl. Meteorol. Clim. 51 1047
[3]	Jones R, Krishnapillai M, Cairns K, Matthews N 2010 Fatigue Fract. Eng. Mater. 33 871
[4]	Gao P T, Zhang Q C, Fu S H, Hu Q, Gao Y 2010 Acta Phys. Sin. 59 458 (in Chinese) [曹鹏涛, 张青川, 符师桦, 胡琦, 高云 2010 物理学报 59 458]
[5]	Asatryan R S, Epremian R A, Gevorkyan H G, Mkrtchyan A G, Msryan G K, Sardaryan T V, Skvortsov Y E, Vardumyan Z A 2003 Int. J. Infrared Milli. 24 1035
[6]	Barducci A, Benvenuti M, Bonora L, Castagnoli F, Guzzi D, Marcoionni P, Pippi I 2006 Ann. Geophys. 49 305
[7]	Ghulam A, Li Z L, Qin Q M, Tong Q X, Wang J H, Kasimu A, Zhu L 2007 Sci. China D 50 1359
[8]	Zhang L, Zhang B, Chen Z C, Zheng L F, Tong Q X 2009 Acta Oceanol. Sin. 28 1
[9]	Oppelt N, Mauser W 2004 Int. J. Remote Sens. 25 145
[10]	Fu T R, Zhao H, Zeng J, Wang Z, Zhong M H, Shi C L 2010 Appl. Opt. 49 5997
[11]	Li W H, Lou C, Sun Y P, Zhou H C 2011 Exp. Therm. Fluid Sci. 35 416
[12]	Fu T R, Yang Z J, Wang L P, Cheng X F, Zhong M H, Shi C L 2010 Opt. Laser Technol. 42 586
[13]	Zhang X Y, Cheng Q A, Lou C, Zhou H C 2011 P. Combust. Inst. 33 2755
[14]	Fu T R, Wang Z, Cheng X F 2010 J. Heat Trans. T. ASME 132 051602
[15]	Coates P B 1981 Metrologia 17 103
[16]	Saunders P 1997 Metrologia 34 201
[17]	Sun X G, Dai J M, Cong D C, Chu Z X 1998 J. Infrared Millim. W. 17 221 (in Chinese) [孙晓刚, 戴景民, 丛大成, 褚载祥 1998 红外与毫米波学报 17 221]
[18]	Tschudi H R, Schubnell M 1999 Rev. Sci. Instrum. 70 2719
[19]	Yang C L, Dai J M, Hu Y 2003 Chin. Phys. Lett. 20 1685
[20]	Zhang Y C, Qi Y D, Fu X B 2011 Spectrosc. Spectr. Anal. 31 3236 (in Chinese) [张玉存, 齐艳德, 付献斌2011 光谱学与光谱分析 31 3236]
[21]	Fu T R, Cheng X F, Yang Z J 2008 Appl. Opt. 47 6122
[22]	Fu T R, Zhao H, Zeng J, Zhong M H, Shi C L 2010 Rev. Sci. Instrum. 81 124903
[23]	Xin C Y, Cheng X F, Zhang Z Z 2012 Spectrosc. Spectr. Anal. 32 2735 (in Chinese) [辛成运, 程晓舫, 张忠政2012 光谱学与光谱分析 32 2735]
[24]	Incropera F P, DeWitt D P, Bergman T L, Lavine A S (Translated by Ge X S, Ye H) 2007 Fundamentals of Heat and Mass Transfer (6th Ed.) (Beijing: Chemical Industry Press) p445 (in Chinese) [Incropera F P, DeWitt D P, Bergman T L, Lavine A S 著 (葛新石, 叶宏译) 2007传热和传质基本原理 (第六版) (北京: 化工出版社)第445页]
[25]	Department of Mathematics of ECNU 2010 Mathematical Analysis Vol. 2 (4th Ed.) (Beijing: Higher Education Press) p230 (in Chinese) [华东师范大学数学系 2010 数学分析 (下册) (第四版) (北京: 高等教育出版社) 第230页].

施引文献

[1]	Aplin K L, McPheat R A 2008 Rew. Sci. Instrum. 79 106107
[2]	Garnier A, Pelon J, Dubuisson P, Faivre M, Chomette O, Pascal N, Kratz D P 2012 J. Appl. Meteorol. Clim. 51 1047
[3]	Jones R, Krishnapillai M, Cairns K, Matthews N 2010 Fatigue Fract. Eng. Mater. 33 871
[4]	Gao P T, Zhang Q C, Fu S H, Hu Q, Gao Y 2010 Acta Phys. Sin. 59 458 (in Chinese) [曹鹏涛, 张青川, 符师桦, 胡琦, 高云 2010 物理学报 59 458]
[5]	Asatryan R S, Epremian R A, Gevorkyan H G, Mkrtchyan A G, Msryan G K, Sardaryan T V, Skvortsov Y E, Vardumyan Z A 2003 Int. J. Infrared Milli. 24 1035
[6]	Barducci A, Benvenuti M, Bonora L, Castagnoli F, Guzzi D, Marcoionni P, Pippi I 2006 Ann. Geophys. 49 305
[7]	Ghulam A, Li Z L, Qin Q M, Tong Q X, Wang J H, Kasimu A, Zhu L 2007 Sci. China D 50 1359
[8]	Zhang L, Zhang B, Chen Z C, Zheng L F, Tong Q X 2009 Acta Oceanol. Sin. 28 1
[9]	Oppelt N, Mauser W 2004 Int. J. Remote Sens. 25 145
[10]	Fu T R, Zhao H, Zeng J, Wang Z, Zhong M H, Shi C L 2010 Appl. Opt. 49 5997
[11]	Li W H, Lou C, Sun Y P, Zhou H C 2011 Exp. Therm. Fluid Sci. 35 416
[12]	Fu T R, Yang Z J, Wang L P, Cheng X F, Zhong M H, Shi C L 2010 Opt. Laser Technol. 42 586
[13]	Zhang X Y, Cheng Q A, Lou C, Zhou H C 2011 P. Combust. Inst. 33 2755
[14]	Fu T R, Wang Z, Cheng X F 2010 J. Heat Trans. T. ASME 132 051602
[15]	Coates P B 1981 Metrologia 17 103
[16]	Saunders P 1997 Metrologia 34 201
[17]	Sun X G, Dai J M, Cong D C, Chu Z X 1998 J. Infrared Millim. W. 17 221 (in Chinese) [孙晓刚, 戴景民, 丛大成, 褚载祥 1998 红外与毫米波学报 17 221]
[18]	Tschudi H R, Schubnell M 1999 Rev. Sci. Instrum. 70 2719
[19]	Yang C L, Dai J M, Hu Y 2003 Chin. Phys. Lett. 20 1685
[20]	Zhang Y C, Qi Y D, Fu X B 2011 Spectrosc. Spectr. Anal. 31 3236 (in Chinese) [张玉存, 齐艳德, 付献斌2011 光谱学与光谱分析 31 3236]
[21]	Fu T R, Cheng X F, Yang Z J 2008 Appl. Opt. 47 6122
[22]	Fu T R, Zhao H, Zeng J, Zhong M H, Shi C L 2010 Rev. Sci. Instrum. 81 124903
[23]	Xin C Y, Cheng X F, Zhang Z Z 2012 Spectrosc. Spectr. Anal. 32 2735 (in Chinese) [辛成运, 程晓舫, 张忠政2012 光谱学与光谱分析 32 2735]
[24]	Incropera F P, DeWitt D P, Bergman T L, Lavine A S (Translated by Ge X S, Ye H) 2007 Fundamentals of Heat and Mass Transfer (6th Ed.) (Beijing: Chemical Industry Press) p445 (in Chinese) [Incropera F P, DeWitt D P, Bergman T L, Lavine A S 著 (葛新石, 叶宏译) 2007传热和传质基本原理 (第六版) (北京: 化工出版社)第445页]
[25]	Department of Mathematics of ECNU 2010 Mathematical Analysis Vol. 2 (4th Ed.) (Beijing: Higher Education Press) p230 (in Chinese) [华东师范大学数学系 2010 数学分析 (下册) (第四版) (北京: 高等教育出版社) 第230页].

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