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.
Skip Nav Destination
2010 14th International Heat Transfer Conference
August 8–13, 2010
Washington, DC, USA
Conference Sponsors:
- Heat Transfer Division
ISBN:
978-0-7918-4940-8
PROCEEDINGS PAPER
Optical Tomography With a Least Square Finite Element Formulation of the Collimated Irradiation in Frequency Domain
Olivier Balima,
Olivier Balima
Universite´ du Que´bec a` Chicoutimi, Chicoutimi, QC, Canada
Search for other works by this author on:
Joan Boulanger,
Joan Boulanger
National Research Council, Ottawa, ON, Canada
Search for other works by this author on:
Andre´ Charette,
Andre´ Charette
Universite´ du Que´bec a` Chicoutimi, Chicoutimi, QC, Canada
Search for other works by this author on:
Daniel Marceau
Daniel Marceau
Universite´ du Que´bec a` Chicoutimi, Chicoutimi, QC, Canada
Search for other works by this author on:
Olivier Balima
Universite´ du Que´bec a` Chicoutimi, Chicoutimi, QC, Canada
Joan Boulanger
National Research Council, Ottawa, ON, Canada
Andre´ Charette
Universite´ du Que´bec a` Chicoutimi, Chicoutimi, QC, Canada
Daniel Marceau
Universite´ du Que´bec a` Chicoutimi, Chicoutimi, QC, Canada
Paper No:
IHTC14-22621, pp. 883-892; 10 pages
Published Online:
March 1, 2011
Citation
Balima, O, Boulanger, J, Charette, A, & Marceau, D. "Optical Tomography With a Least Square Finite Element Formulation of the Collimated Irradiation in Frequency Domain." Proceedings of the 2010 14th International Heat Transfer Conference. 2010 14th International Heat Transfer Conference, Volume 5. Washington, DC, USA. August 8–13, 2010. pp. 883-892. ASME. https://doi.org/10.1115/IHTC14-22621
Download citation file:
3
Views
Related Proceedings Papers
Related Articles
Finite Element Simulation for Short Pulse Light Radiative Transfer in Homogeneous and Nonhomogeneous Media
J. Heat Transfer (March,2007)
Backward Monte Carlo Simulations in Radiative Heat Transfer
J. Heat Transfer (February,2003)
Reverse Monte Carlo Method for Transient Radiative Transfer in
Participating Media
J. Heat Transfer (August,2004)
Related Chapters
Short-Pulse Collimated Radiation in a Participating Medium Bounded by Diffusely Reflecting Boundaries
International Conference on Mechanical and Electrical Technology, 3rd, (ICMET-China 2011), Volumes 1–3
The MCRT Method for Participating Media
The Monte Carlo Ray-Trace Method in Radiation Heat Transfer and Applied Optics
Modeling Grain Boundary Scattering in Nanocomposites
Inaugural US-EU-China Thermophysics Conference-Renewable Energy 2009 (UECTC 2009 Proceedings)