Nonuniqueness in diffusion-based optical tomography

Arridge, S.R. and Lionheart, W.R.B (1998) Nonuniqueness in diffusion-based optical tomography. Optics Letters, 23 (11). pp. 882-884. ISSN 0146-9592

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Abstract

A condition on nonuniqueness in optical tomography is stated. The main result applies to steady-state (dc) diffusion-based optical tomography, wherein we demonstrate that simultaneous unique recovery of diffusion and absorption coefficients cannot be achieved. A specific example of two images that give identical dc data is presented. If the refractive index is considered an unknown, then nonuniqueness also occurs in frequency-domain and time-domain optical tomography, if the underlying model of the diffusion approximation is employed.

Item Type:	Article
Uncontrolled Keywords:	diffuse optical tomography, uniqueness of solution
Subjects:	MSC 2010, the AMS's Mathematics Subject Classification > 35 Partial differential equations MSC 2010, the AMS's Mathematics Subject Classification > 78 Optics, electromagnetic theory PACS 2010, the AIP's Physics and Astronomy Classification Scheme > 40 ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID MECHANICS > 42 Optics
Depositing User:	Prof WRB Lionheart
Date Deposited:	15 Jul 2008
Last Modified:	20 Oct 2017 14:12
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/1126

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