2008
DOI: 10.1088/1742-6596/135/1/012086
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An inverse problem for thermal diffusivity estimation with the photoacoustic spectroscopy

Abstract: Abstract. In the present work we investigate the estimation of the thermal diffusivity with an inverse problem approach for photoacoustic spectroscopy (PAS). The direct problem is solved analytically using Rosencwaig-Gersho (RG) theory and the inverse problem is solved using the method of Levenberg-Marquardt. A sensitivity analysis is presented. We used real experimental data for the amplitude and phase-lag of the photoacoustic signal, acquired with a PAS experimental apparatus. A discussion is presented on th… Show more

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Cited by 3 publications
(2 citation statements)
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“…The development of simple systems for measuring this parameter is a matter of interest because of a commercial equipment as a differential scanning calorimeter is high cost and the analytical methods and calculations are restricted to initial conditions and temperature ranges; on the other hand, the thermal relaxation technique is one of the most simple and functional method [4], [5]. This Cable wall bushing method is based on the disturbance of the state of thermodynamic equilibrium by means of constant illumination of the sample suspended adiabatically, inside a vacuum chamber; the variation of the sample absolute temperature is measured as a function of time [6].…”
Section: The Fundamentals Of Heat Transfer Were Established Bymentioning
confidence: 99%
“…The development of simple systems for measuring this parameter is a matter of interest because of a commercial equipment as a differential scanning calorimeter is high cost and the analytical methods and calculations are restricted to initial conditions and temperature ranges; on the other hand, the thermal relaxation technique is one of the most simple and functional method [4], [5]. This Cable wall bushing method is based on the disturbance of the state of thermodynamic equilibrium by means of constant illumination of the sample suspended adiabatically, inside a vacuum chamber; the variation of the sample absolute temperature is measured as a function of time [6].…”
Section: The Fundamentals Of Heat Transfer Were Established Bymentioning
confidence: 99%
“…Except for a few very simple problems, these inverse problems are formulated implicitly and written as optimization problems that try to minimize an objective function. The inherent illposedness of inverse problems typically requires the use of a regularization technique that implies in the addition of a regularization function to the original objective function, weighted by an unknown regularization parameter [6,7,[11][12][13]. Several heuristics that mimic natural behaviors have been proposed for the solution of optimization problems, particularly to cope with search spaces that present local minima.…”
Section: Introductionmentioning
confidence: 99%