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Optical Tomography With a Least Square Finite Element Formulation of the Collimated Irradiation in Frequency Domain

[+] Author Affiliations
Olivier Balima, André Charette, Daniel Marceau

Université du Québec à Chicoutimi, Chicoutimi, QC, Canada

Joan Boulanger

National Research Council, Ottawa, ON, Canada

Paper No. IHTC14-22621, pp. 883-892; 10 pages
doi:10.1115/IHTC14-22621
From:
  • 2010 14th International Heat Transfer Conference
  • 2010 14th International Heat Transfer Conference, Volume 5
  • Washington, DC, USA, August 8–13, 2010
  • Conference Sponsors: Heat Transfer Division
  • ISBN: 978-0-7918-4940-8 | eISBN: 978-0-7918-3879-2
  • Copyright © 2010 by ASME

abstract

This paper presents a numerical study of optical tomography in frequency domain for the reconstruction of optical properties of scattering and absorbing media with collimated irradiation light sources. The forward model is a least square finite element formulation of the collimated irradiation problem where the intensity is separated into its collimated and scattered parts. This model does not use any empirical stabilization and moreover the collimated source direction is taken into account. The inversion uses a gradient type minimization method where the gradient is computed through an adjoint formulation. Scaling is used to avoid numerical round errors, as the output readings at detectors are very low. Numerical reconstructions of optical properties of absorbing and scattering media with simulated data (noised and noise-free) are achieved in a complex geometry with satisfactory results. The results show that complex geometries are well handled with the proposed method.

Copyright © 2010 by ASME

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