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The problem with reconstructing the laser beam intensity distribution from temperature distribution over the front surface of the target heated by the beam has been solved analytically. Formulas allow one to retrieve the thermal flux for arbitrary values of thermal and physical parameters. The efficiency of algorithmic implementation is studied in numerical experiments.
Valerii P. Aksenov andYusup N. Isaev
"Reconstruction of laser radiation intensity distribution from temperature along target surface", Proc. SPIE 1933, Thermosense XV: An International Conference on Thermal Sensing and Imaging Diagnostic Applications, (6 April 1993); https://doi.org/10.1117/12.141973
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Valerii P. Aksenov, Yusup N. Isaev, "Reconstruction of laser radiation intensity distribution from temperature along target surface," Proc. SPIE 1933, Thermosense XV: An International Conference on Thermal Sensing and Imaging Diagnostic Applications, (6 April 1993); https://doi.org/10.1117/12.141973