Diffuse photon propagation in multilayered geometries

doi:10.1088/0031-9155/51/3/003

Diffuse photon propagation in multilayered geometries

Jan Sikora et al 2006 Phys. Med. Biol. 51 497-516 doi: 10.1088/0031-9155/51/3/003

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Jan Sikora¹, Athanasios Zacharopoulos², Abdel Douiri², Martin Schweiger², Lior Horesh³, Simon R Arridge² and Jorge Ripoll⁴
¹ Institute of the Theory of Electrical Engineering, Measurement and Information Systems, Warsaw University of Technology, Koszykowa 75, 00-661 Warsaw, Poland
² Department of Computer Science, University College London, Gower Street, London, WC1E 6BT, UK
³ Department of Medical Physics and BioEngineering, University College London, Gower Street, London, WC1E 6BT, UK
⁴ Institute of Electronic Structure and Laser, FORTH, PO Box 1527, Vassilika Vouton, 71110 Heraklion, Crete, Greece

Abstract. Diffuse optical tomography (DOT) is an emerging functional medical imaging modality which aims to recover the optical properties of biological tissue. The forward problem of the light propagation of DOT can be modelled in the frequency domain as a diffusion equation with Robin boundary conditions. In the case of multilayered geometries with piecewise constant parameters, the forward problem is equivalent to a set of coupled Helmholtz equations. In this paper, we present solutions for the multilayered diffuse light propagation for a three-layer concentric sphere model using a series expansion method and for a general layered geometry using the boundary element method (BEM). Results are presented comparing these solutions to an independent Monte Carlo model, and for an example three layered head model.

Print publication: Issue 3 (7 February 2006)
Received 23 August 2005, in final form 15 November 2005
Published 11 January 2006

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Diffuse photon propagation in multilayered geometries

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