Please wait a minute...
Chin. Phys. B, 2016, Vol. 25(4): 047801    DOI: 10.1088/1674-1056/25/4/047801

Apparent directional spectral emissivity determination of semitransparent materials

Chun-Yang Niu(牛春洋), Hong Qi(齐宏), Ya-Tao Ren(任亚涛), Li-Ming Ruan(阮立明)
School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, China
Abstract  An inverse estimation method and corresponding measurement system are developed to measure the apparent spectral directional emissivities of semitransparent materials. The normal spectral emissivity and transmissivity serve as input for the inverse analysis. Consequently, the refractive index and absorption coefficient of the semitransparent material could be retrieved by using the pseudo source adding method as the forward method and the stochastic particle swarm optimization algorithm as the inverse method. Finally, the arbitrary apparent spectral directional emissivity of semitransparent material is estimated by using the pseudo source adding method given the retrieval refractive index and absorption coefficient. The present system has the advantage of a simple experimental structure, high accuracy, and excellent capability to measure the emissivity in an arbitrary direction. Furthermore, the apparent spectral directional emissivity of sapphire at 773 K is measured by using this system in a spectral range of 3 μm-12 μm and a viewing range of 0°-90°. The present method paves the way for a new directional spectral emissivity measurement strategy.
Keywords:  semitransparent materials      inverse problem      directional emissivity  
Received:  13 November 2015      Revised:  14 December 2015      Accepted manuscript online: 
PACS:  78.20.Ci (Optical constants (including refractive index, complex dielectric constant, absorption, reflection and transmission coefficients, emissivity))  
  02.30.Zz (Inverse problems)  
  44.40.+a (Thermal radiation)  
  45.10.Db (Variational and optimization methods)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 51476043 and 51576053) and the Foundation for Innovative Research Groups of the National Natural Science Foundation of China (Grant No. 51421063).
Corresponding Authors:  Hong Qi     E-mail:

Cite this article: 

Chun-Yang Niu(牛春洋), Hong Qi(齐宏), Ya-Tao Ren(任亚涛), Li-Ming Ruan(阮立明) Apparent directional spectral emissivity determination of semitransparent materials 2016 Chin. Phys. B 25 047801

[1] Campo L del, Pérez-Sáez R B, Esquisabel X, Fernández I and Tello M J 2006 Rev. Sci. Instrum. 77 113111
[2] Shi D H, Liu Y F, Sun J F, Zhu Z L and Liu H 2012 Int. J. Heat Mass Transfer 55 3344
[3] Ishii J and Ono A 2000 SPIE 4103 126
[4] Dai J M and Wang X B 2007 Acta Metrologica Sinica 28 232
[5] Zhang Y F, Dai J M, Zhang L and Pan W D 2012 Opt. Eng. 52 087107
[6] Wang F Q, Shuai Y, Yuan Y and Liu B 2012 Materials and Design 33 284
[7] Wang F Q, Tan J Y and Wang Z Q 2014 Energy Conversion and Management 83 159
[8] Wang F Q, Tan J Y, Shuai Y, Tan H P and Leng Y 2014 Solar Energy 108 348
[9] Zhang S D, Xia X L, Dai G L, Yu M X and Yan W X 2012 J. Eng. Thermophys. 33 1032
[10] Cezairliyan A and Laylor J 1997 Journal of Research of the National Bureau of Standards, Section A, Physics and Chemistry 81 251
[11] Fu T R, Liu J F, Tang J Q, Duan M H, Zhao H and Shi C L 2014 Infr. Phys. Technol. 66 49
[12] Thevenet J, Siroux M and Desmet B 2010 Appl. Therm. Eng. 30 753
[13] Wen C D and Chai T Y 2011 Appl. Therm. Eng. 31 2414
[14] Yang W, Fan A W, Wan J L and Liu W 2015 Appl. Therm. Eng. 3 8
[15] Wang H, Chen D J, Wang G L, Long Y S, Luo J, Liu L P and Yang Q T 2013 Measurement 46 4023
[16] Modest M F 2003 Radiative heat transfer (New York: McGraw-Hill)
[17] Fu T R, Tan P and Pang C H 2012 Measurement Science and Technology 23 025006
[18] Fu T R and Tan P 2012 ASME J. Heat Transfer 134 111601
[19] Fu T R, Tan P and Zhong M H 2012 Experimental Thermal and Fluid Science 40 159
[20] Fu T R, Tan P and Duan M H 2015 Measurement Science and Technology 26 015003
[21] Lindermeir E, Tank V and Haschberger P 1992 Proc. SPIE 1682 354
[22] Tank V 1999 Journal of Molecular Structure 482 545
[23] Dai J M, Wang X B and Yuan J B 2005 J. Phys. 13 63
[24] Sova R M, Linevsky M J, Thomas M E and Mark F F 1998 Infr. Phys. Technol. 39 251
[25] González-Fernández L, Campo L del, Pérez-Sáez R B and Tello M J 2012 J. Alloys Compd. 513 101
[26] Rozenbaum O, Meneses D, Auger Y, Chermanne S and Echegut P 1999 Rev. Sci. Instrum. 70 4020
[27] Lee G W, Jeon S, Yoo N J, Park C W, Park S N, Kwon S Y and Lee S H 2011 Int. J. Thermophys. 32 1234
[28] Ishii J and Ono A 2001 Measurement Science and Technology 12 2103
[29] Huang Y, Xia X L, Tan H P and Yu Q Z 1999 J. Infr. Millim. Waves 18 276
[30] Huang Y, Xia X L, Tan H P and Yu Q Z 1999 Chin. J. Comput. Phys. 16 505
[31] Kennedy J and Eberhart R C 1995 Particle swarm optimization (New York: IEEE)
[32] Kraszewski M, Strakowski M, Plucinski J and Kosmowski B B 2015 Appl. Opt. 54 76
[33] Yuan Y, Yi H L, Shuai Y, Liu B and Tan H P 2011 Atmospheric Environment 45 4892
[34] Yoon K B, Park S J and Kim T K 2013 Appl. Opt. 52 5533
[35] Qi H, Ruan L M, Zhang H C, Wang Y M and Tan H P 2007 Int. J. Therm. Sci. 46 649
[36] Qi H, Ruan L M, Wang S G, Shi M and Zhao H 2008 Chin. Opt. Lett. 6 346
[37] Qi H, Ruan L M, Shi M, An W and Tan H P 2008 J. Quantum Spectrosc. Radiat. Transfer 109 476
[38] Zhang B, Qi H, Ren Y T, Sun S C and Ruan L M 2013 Int. J. Heat Mass Transfer 66 507
[39] Zhang B, Qi H, Ren Y T, Sun S C and Ruan L M 2014 Journal of Quantitative Spectroscopy & Radiative Transfer 133 351
[40] Qi H, Ren Y T, Lew Z Y and Ruan L M 2015 Appl. Opt. 54 5234
[41] Zeng J C and Cui Z H 2004 J. Comput. Res. Develop. 41 1333
[42] Wang C H 2013 Temperature measurement using multispectral radiation thermometry and the apparent radiation characteristics for semitransparent medium (Harbin: Harbin Institute of Technology)
[43] Kurpisz K and Nowak A J 1995 Inverse thermal problems (Computational Mechanics Publication)
[44] Moriaki W, Keie K and Takehisa S 2007 Physical properties and data of optical materials (Florida: CRC Pr I Llc)
[1] Weighted total variation using split Bregman fast quantitative susceptibility mapping reconstruction method
Lin Chen(陈琳), Zhi-Wei Zheng(郑志伟), Li-Jun Bao(包立君), Jin-Sheng Fang(方金生), Tian-He Yang(杨天和), Shu-Hui Cai(蔡淑惠), Cong-Bo Cai(蔡聪波). Chin. Phys. B, 2018, 27(8): 088701.
[2] Reconstruction of dynamic structures of experimental setups based on measurable experimental data only
Tian-Yu Chen(陈天宇), Yang Chen(陈阳), Hu-Jiang Yang(杨胡江), Jing-Hua Xiao(肖井华), Gang Hu(胡岗). Chin. Phys. B, 2018, 27(3): 030503.
[3] Inverse full state hybrid projective synchronizationfor chaotic maps with different dimensions
Adel Ouannas, Giuseppe Grassi. Chin. Phys. B, 2016, 25(9): 090503.
[4] Accurate reconstruction of the optical parameter distribution in participating medium based on the frequency-domain radiative transfer equation
Yao-Bin Qiao(乔要宾), Hong Qi(齐宏), Fang-Zhou Zhao(赵方舟), Li-Ming Ruan(阮立明). Chin. Phys. B, 2016, 25(12): 120201.
[5] Inverse problem of pulsed eddy current field of ferromagnetic plates
Chen Xing-Le (陈兴乐), Lei Yin-Zhao (雷银照). Chin. Phys. B, 2015, 24(3): 030301.
[6] Simultaneous reconstruction of temperature distribution and radiative properties in participating media using a hybrid LSQR–PSO algorithm
Niu Chun-Yang (牛春洋), Qi Hong (齐宏), Huang Xing (黄兴), Ruan Li-Ming (阮立明), Wang Wei (王伟), Tan He-Ping (谈和平). Chin. Phys. B, 2015, 24(11): 114401.
[7] An approach to estimating and extrapolating model error based on inverse problem methods:towards accurate numerical weather prediction
Hu Shu-Juan (胡淑娟), Qiu Chun-Yu (邱春雨), Zhang Li-Yun (张利云), Huang Qi-Can (黄启灿), Yu Hai-Peng (于海鹏), Chou Ji-Fan (丑纪范). Chin. Phys. B, 2014, 23(8): 089201.
[8] Cardiac electrical activity imaging of patients with CRBBB or CLBBB in magnetocardiography
Zhu Jun-Jie (朱俊杰), Jiang Shi-Qin (蒋式勤), Wang Wei-Yuan (王伟远), Zhao Chen (赵晨), Wu Yan-Hua (吴燕华), Luo Ming (罗明), Quan Wei-Wei (权薇薇). Chin. Phys. B, 2014, 23(4): 048702.
[9] A Compton scattering image reconstruction algorithm based on total variation minimization
Li Shou-Peng (李守鹏), Wang Lin-Yuan (王林元), Yan Bin (闫镔), Li Lei (李磊), Liu Yong-Jun (刘拥军). Chin. Phys. B, 2012, 21(10): 108703.
[10] An inverse problem in analytical dynamics
Li Guang-Cheng(李广成) and Mei-Feng-Xiang(梅凤翔). Chin. Phys. B, 2006, 15(8): 1669-1671.
[11] Lie symmetries and conserved quantities of Birkhoff systems with unilateral constraints
Zhang Hong-Bin (张宏彬), Gu Shu-Long (顾书龙). Chin. Phys. B, 2002, 11(8): 765-770.
[12] Investigation of titanium nitride coating by broadband laser ultrasonic spectroscopy
Gao Wei-Min (高伟民), Christ Glorieux, Walter Lauriks, Jan Thoen. Chin. Phys. B, 2002, 11(2): 132-138.
No Suggested Reading articles found!