Computational & Applied Mathematics
On-line version ISSN 1807-0302
SILVA NETO, A.J. and CELLA, N.. A regularized solution with weighted Bregman distances for the inverse problem of photoacoustic spectroscopy. Comput. Appl. Math. [online]. 2006, vol.25, n.2-3, pp. 139-165. ISSN 1807-0302. http://dx.doi.org/10.1590/S0101-82052006000200003.
In the present work we propose the use of weighted Bregman distances in the construction of regularization terms for the Tikhonov functional applied for the formulation and solution of the inverse problem of photoacoustic spectroscopy. Test case results demonstrate that better estimates were obtained for the simultaneous estimation of the thermal diffusivity and optical absorption coefficient using, as synthetic experimental data, the information on both the amplitude and phase-lag of the temperature at the interface sample-gas between the material under analysis and the air chamber of the closed photoacoustic cell.
Keywords : inverse problems; Tikhonov's regularization terms; Bregman distances; photoacoustic spectroscopy; optical properties; thermal properties.