Temperature Field Calculation of Anisotropic Crystal in the Photothermal Displacement Detection Theory

Abstract:

Photothermal displacement technology is mainly applied in the measurement of the materials optical thermal parameters and the non-destructive testing. In order to study the optical thermal parameters of the anisotropic crystal, heat conduction equation of anisotropic crystal under a given temperature distribution is solved by using an integral transform method. The steady-state temperature field distribution of the crystal is obtained, which is simulated by Matlab and can be applied to the photothermal displacement technology to obtain the surface deformation to provides a strong theoretical basis for studying the optical thermal parameters of the sample.

• Periodical: Advanced Materials Research (Volumes 718-720)
• Pages: 502-506
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.718-720.502
• Online since: July 2013
• Authors: Ying Cong Zhang, Hua Shen, Ri Hong Zhu
• Keywords: Anisotropic, Surface Deformation, Temperature Field

References

[1] Tam A C. Applications of photoacoustic sensing techniques[J]. Rev Mod Phys, 1986, 58:381

[2] Li Bincheng, Zeng Zhaoxin, He Shunhua. Thermal Diffusivity Measurement with Laser Photothermal Optical Beam Deflection Method[J]. Applied laser, 1989, 9(1)：17

[3] Paolo Cielo, Gerard Rousset, and Lionel Bertrand. Photoacoustic and photothermal evaluation of stratified materials. Appl. Opts., 1986, 25:1327

DOI: 10.1364/ao.25.001327

[4] G. Rousset, L. Bertrand, and P. Cielo. A pulsed thermoelastic analysis of photothermal surface displacements in layered materials. J. Appl. Phys., 1985, 57:4396

DOI: 10.1063/1.334600

[5] Yin Qingrui, Wang Tong, Qian Menglu. Photoacoustic and Photothermal Technology and Aapplications [M]. Beijing: Science Press, (1999)

[6] A．Salazar ,A．Sanchez-Lavega, J Fernandez．Thermal diffusivity measurements on solids using collinear mirage detection．J. Appl. Phys., 1993, 74(3):1539-1547

DOI: 10.1063/1.354854

[7] M. N. Ozisk, Heat Conduction[M],Yu Changming Transl. Beijing:Higher Education Press (1984)

[8] Pilant M, Rundell W．Fixed point methods for a non-linear parabolic inverse coefficient[J]. Problem. Comm in PDE, 1988, 13(4):469—493

DOI: 10.1080/03605308808820549

[9] HU Han-ping. Heat Conduction Theory[M]. Hefei: University of Science and Technology of China Press. (2010)

[10] Xie Liangping, Su Jingqin, Jing Feng, Zhao Jianling, Wang Wenyi, Wang Xiao, Peng Zhitao. Nonlinear hot holograpgic image in high power solid-state laser systems[J]. High Power Laser and Particle Beams,2004,16(5):571～574

DOI: 10.1109/leos.2005.1548226