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Mathematical Methods of Optical Coherence Tomography

In: Handbook of Mathematical Methods in Imaging

Author

Listed:
  • Peter Elbau

    (University of Vienna, Computational Science Center)

  • Leonidas Mindrinos

    (University of Vienna, Computational Science Center)

  • Otmar Scherzer

    (University of Vienna, Computational Science Center
    Austrian Academy of Sciences, RICAM)

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.

Suggested Citation

  • Peter Elbau & Leonidas Mindrinos & Otmar Scherzer, 2015. "Mathematical Methods of Optical Coherence Tomography," Springer Books, in: Otmar Scherzer (ed.), Handbook of Mathematical Methods in Imaging, edition 2, pages 1169-1204, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4939-0790-8_44
    DOI: 10.1007/978-1-4939-0790-8_44
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