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THEORETICAL DEVELOPMENT FOR REFRACTIVE INDEX RECONSTRUCTION FROM A RADIATIVE TRANSFER EQUATION-BASED ALGORITHM

DOI: 10.1615/ICHMT.2010.RAD-6.50
10 pages

Joan Boulanger
Gas Turbine Laboratory Institute for Aerospace Research - National Research Council Canada, Ottawa, ON, Canada, K1A 0R6

Olivier F. Balima
Centre Universitaire de Rocherche sur I' Aluminium, Université du Québec a Chicoutimi, 555 Bd de l'Université Chicoutimi QC G7H 2B1Canada

Andre Charette
Groupe de Recherche en Ingénierie des Procédés et Systèmes, Departement des Sciences Appliquées, Université du Québec à Chicoutimi, 555 Boulevard de l'Université, Chicoutimi, Québec, Canada, G7H 2B1

Abstract

This study is devoted to the mathematics behind a reconstruction methodology based on the radiative transfer equation of a refractive index arbitrary distribution. The targeted algorithm should be of the least-squares and gradient type, relying on the adjoint to the radiative transfer equation for varying refractive index, which is a novelty. Preliminary tests are demonstrated on generic phantoms.

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