A regularized solution with weighted Bregman distances for the inverse problem of photoacoustic spectroscopy



Document title: A regularized solution with weighted Bregman distances for the inverse problem of photoacoustic spectroscopy
Journal: Computational & applied mathematics
Database: PERIÓDICA
System number: 000310698
ISSN: 0101-8205
Authors: 1
Institutions: 1Universidade do Estado do Rio de Janeiro, Instituto Politecnico, Rio de Janeiro. Brasil
Year:
Volumen: 25
Number: 2-3
Pages: 139-165
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Experimental, aplicado
English abstract 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
Disciplines: Física y astronomía,
Matemáticas
Keyword: Física,
Matemáticas aplicadas,
Términos de regularización,
Distancias de Bregman,
Espectroscopía fotoacústica,
Problemas inversos,
Propiedades ópticas,
Propiedades térmicas
Keyword: Physics and astronomy,
Mathematics,
Physics,
Applied mathematics,
Inverse problems,
Regularization terms,
Bregman distance,
Photoacoustic spectroscopy,
Optical properties,
Thermal properties
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