Numerical tests of an inverse method for the characterization of pulsed and continuous laser beams

Karol Pietrak , Piotr Łapka , Małgorzata Kujawińska


The paper shows the results of numerical experiments in which a method for the identification of laser beam parameters is tested. In the method, laser beam acts upon a thin aluminum plate causing temperature response which is sensed using a fast infrared camera. Sensing is carried out on the rear side of the heated plate while the front side is being heated. This paper concerns new variant of the inverse method which includes nonlinear effects related with phase change in the aluminum sample, contrary to the previous variant which assumed linear character of sample heating. The improved thermal model allows to consider higher laser powers and longer exposition times, and therefore the updated method may be used for continuous laser beams, as opposed to the previous one which was appropriate for short pulses. The inverse problem is solved using the Levenberg-Marquardt approach. Among the retrieved parameters of the beam are: laser power, shape coefficient describing the beam profile (super-Gaussian profile is assumed), start and end time of the pulse. The accuracy of retrieval of these parameters is tested using numerically-generated, synthetic measurement data.
Author Karol Pietrak (FPAE / IHE)
Karol Pietrak,,
- The Institute of Heat Engineering
, Piotr Łapka (FPAE / IHE)
Piotr Łapka,,
- The Institute of Heat Engineering
, Małgorzata Kujawińska (FM / IMPh)
Małgorzata Kujawińska,,
- The Institute of Micromechanics and Photonics
Publication size in sheets1.05
Book Kruzel Marcin, Kuczyński Waldemar (eds.): Contemporary Issues of Heat and Mass Transfer, vol. 1, 2019, Politechnika Koszalińska, ISBN 978-83-7365-513-3, 534 p.
Keywords in Englishlaser diagnostics, laser beam profiling, inverse problem, inverse heat transfer, numerical model
Languageen angielski
PIETRAK.pdf 542.02 KB
Score (nominal)20
Score sourcepublisherList
ScoreMinisterial score = 20.0, 21-01-2020, ChapterFromConference
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