Perturbation approach to the time-resolved transmittance for a spatially varying scattering inclusion in a diffusive slab

Anno: 2006

Autori: Esposito R., De Nicola S., Lepore M., Indovina P.L.

Affiliazione autori: Dipartimento Scienze Fisiche, Università di Napoli “Federico II,” Italy, and Istituto Nazionale di Fisica della Materia, Unità di Napoli, Italy
Istituto di Cibernetica del Consiglio Nazionale delle Ricerche “E. Caianiello,” compr. A. Olivetti, Via Campi Flegrei 34, 80078 Pozzuoli, Italy
Dipartimento di Medicina Sperimentale, Seconda Università di Napoli, Italy;
Dipartimento Scienze Fisiche, Università di Napoli “Federico II,” Italy, and Istituto Nazionale di Fisica della Materia, Italy

Abstract: In the framework of the perturbation approach to the diffusion equation, an analytical expression is derived to describe the effects on the time-resolved transmittance due to the presence of a spatially varying scattering inclusion hidden inside a diffusive slab. This formula assumes that the reduced scattering coefficient of the inclusion is spatially Gaussian distributed and complements that obtained for the absorptive case. The accuracy and the application range of the perturbed transmittance are investigated through comparisons with the numerical solutions of the time-dependent diffusion equation given by using the finite-element method. The proposed perturbation model is validated through a fitting procedure that determines the relative error in retrieving the scattering perturbation parameter of the inclusion located at the midplane of the slab. (c) 2006 Optical Society of America.

Giornale/Rivista: JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION

Volume: 23 (8)      Da Pagina: 1937  A: 1945

Parole chiavi: domain optical mammography; in-vivo; breast-tumors; image-reconstruction; mathematical-model
DOI: 10.1364/JOSAA.23.001937

Citazioni: 4
dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2025-05-18
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