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



Título del documento: A regularized solution with weighted Bregman distances for the inverse problem of photoacoustic spectroscopy
Revue: Computational & applied mathematics
Base de datos: PERIÓDICA
Número de sistema: 000310698
ISSN: 0101-8205
Autores: 1
Instituciones: 1Universidade do Estado do Rio de Janeiro, Instituto Politecnico, Rio de Janeiro. Brasil
Año:
Volumen: 25
Número: 2-3
Paginación: 139-165
País: Brasil
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Experimental, aplicado
Resumen en inglés 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
Disciplinas: Física y astronomía,
Matemáticas
Palabras clave: 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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