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Proceedings Paper

Discussion of the finite element method in optical diffraction tomography
Author(s): Julia Lobera; Jeremy Coupland
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Paper Abstract

In Optical Diffraction Tomography (ODT) the refractive index is reconstructed from images with different illuminating wavefronts. In most cases the Born approximation is assumed, although this limits the applicability of the technique to weak-scattering problems. In this work we examine the scattering problem from first principles beginning from the Helmholtz equation that governs scalar diffraction and wave propagation. We demonstrate the use of the Born approximation and show typical errors when it is applied in practice. Solution of the Helmholtz equation using a Finite Element Method (FEM) with an appropriate Absorbing Boundary Condition (ABC) is described, and a non-linear optimization technique, the Conjugate Gradient Method (CGM), previously proposed for microwave imaging, is applied to the inverse problem.

Paper Details

Date Published: 27 April 2006
PDF: 9 pages
Proc. SPIE 6188, Optical Micro- and Nanometrology in Microsystems Technology, 61880I (27 April 2006); doi: 10.1117/12.662102
Show Author Affiliations
Julia Lobera, Loughborough Univ. (United Kingdom)
Jeremy Coupland, Loughborough Univ. (United Kingdom)


Published in SPIE Proceedings Vol. 6188:
Optical Micro- and Nanometrology in Microsystems Technology
Christophe Gorecki; Anand K. Asundi; Wolfgang Osten, Editor(s)

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