Author:
Reitzle Dominik,Geiger Simeon,Liemert André,Kienle Alwin
Abstract
AbstractWe derived a semianalytical solution for the time-dependent temperature distribution in a three-layered laterally infinite scattering and absorbing slab illuminated by an obliquely incident collimated beam of light. The light propagation was modeled by the low-order $$P_1$$
P
1
and $$P_3$$
P
3
approximations to the radiative transfer equation with closed form expressions for eigenvalues and eigenvectors, yielding a quickly computable solution, while the heat conduction was modeled by the Fourier equation. The solution was compared to a numerical solution using a Monte Carlo simulation for the light propagation and an FEM method for the heat conduction. The results showed that using the $$P_3$$
P
3
solution for the light propagation offers a large advantage in accuracy with only a moderate increase in calculation time compared to the $$P_1$$
P
1
solution. Also, while the $$P_3$$
P
3
solution is not a very good approximation for the spatially resolved absorbance itself, its application as a source term for the heat conduction equation does yield a very good approximation for the time-dependent temperature.
Publisher
Springer Science and Business Media LLC
Reference30 articles.
1. Abad, B., Borca-Tasciuc, D.-A. & Martin-Gonzalez, M. Non-contact methods for thermal properties measurement. Renew. Sustain. Energy Rev. 76, 1348–1370 (2017).
2. Qu, H., Wang, C., Guo, X. & Mandelis, A. Reconstruction of depth profiles of thermal conductivity of case hardened steels using a three-dimensional photothermal technique. J. Appl. Phys. 104, 113518 (2008).
3. Martínez-Torres, P., Mandelis, A. & Alvarado-Gil, J. J. Optical and thermal depth profile reconstructions of inhomogeneous photopolymerization in dental resins using photothermal waves. J. Appl. Phys. 108, 054902 (2010).
4. Xiao, P., Cowen, J. & Imhof, R. In-vivo transdermal drug diffusion depth profiling-a new approach to opto-thermal signal analysis. Anal. Sci. 17icpp, s349–s352 (2002).
5. Ravi, J. et al. Optothermal depth profiling by neural network infrared radiometry signal recognition. J. Appl. Phys. 97, 014701 (2005).
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