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      Mathematical Modelling of Optical Coherence Tomography

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          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.

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          Author and article information

          Journal
          2014-03-04
          Article
          10.1007/978-1-4939-0790-8_44
          1403.0726
          193a1607-707d-4245-871e-074634f52a6b

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          History
          Custom metadata
          35Q61, 44A12, 65M32, 65R20, 65R32
          Handbook of Mathematical Methods in Imaging, 1169-1204. Springer New York, 2015
          28 pages, 5 figures, book chapter
          math.NA

          Numerical & Computational mathematics
          Numerical & Computational mathematics

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