Abstract
The non-stationary and non-uniform laser heating of a material object is considered. Two computationally efficient reduced complexity approaches of numerical solution of the heat transfer equation are suggested. The first one is based on spatial Fourier transform. The second is based on the analytical solution for Gaussian functions. Both methods result in temporal dynamics of the 3-dimensional temperature distribution in the object material. Suggested approaches are illustrated with two examples of calculations for single- and multi-beam laser systems. The calculations for these examples on a standard desktop computer take several seconds, which is much less than it could take with standard finite differences approach.
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Funding
This work was a part of a cooperative agreement between University of Dayton and Institute of Atmospheric Optics. Dr. V.V. Kolosov’s work has been supported by the Russian Foundation for Basic Research (grant no. 18-29-20 115\18).
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Filimonov, G.A., Kolosov, V.V. & Vorontsov, A.M. Computationally Efficient Methods for Simulating Laser Heating of Bulk Plates. Atmos Ocean Opt 34, 617–624 (2021). https://doi.org/10.1134/S1024856021060087
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DOI: https://doi.org/10.1134/S1024856021060087