Mathematical Methods of Optical Coherence Tomography

Peter Elbau (), Leonidas Mindrinos () and Otmar Scherzer ()
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Peter Elbau: University of Vienna, Computational Science Center
Leonidas Mindrinos: University of Vienna, Computational Science Center
Otmar Scherzer: University of Vienna, Computational Science Center

A chapter in Handbook of Mathematical Methods in Imaging, 2015, pp 1169-1204 from Springer

Abstract: Abstract In this chapter a general mathematical model of Optical Coherence Tomography (OCT) is presented on the basis of the electromagnetic theory. OCT produces high-resolution images of the inner structure of biological tissues. Images are obtained by measuring the time delay and the intensity of the backscattered light from the sample considering also the coherence properties of light. The scattering problem is considered for a weakly scattering medium located far enough from the detector. The inverse problem is to reconstruct the susceptibility of the medium given the measurements for different positions of the mirror. Different approaches are addressed depending on the different assumptions made about the optical properties of the sample. This procedure is applied to a full field OCT system and an extension to standard (time and frequency domain) OCT is briefly presented.

Keywords: Full Field OCT; Frequency Domain OCT; Reconstruction Formula; Focal Illumination; Initial Condition Equation (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4939-0790-8_44

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DOI: 10.1007/978-1-4939-0790-8_44

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