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Quantitative OCT Reconstructions for Dispersive Media

In: Time-dependent Problems in Imaging and Parameter Identification

Author

Listed:
  • Peter Elbau

    (University of Vienna, Faculty of Mathematics)

  • Leonidas Mindrinos

    (Johann Radon Institute for Computational and Applied Mathematics (RICAM))

  • Leopold Veselka

    (University of Vienna, Faculty of Mathematics)

Abstract

We consider the problem of reconstructing the position and the time-dependent optical properties of a linear dispersive medium from OCT measurements. The medium is multi-layered described by a piecewise inhomogeneous refractive index. The measurement data are from a frequency-domain OCT system and we address also the phase retrieval problem. The parameter identification problem can be formulated as an one-dimensional inverse problem. Initially, we deal with a non-dispersive medium and we derive an iterative scheme that is the core of the algorithm for the frequency-dependent parameter. The case of absorbing medium is also addressed.

Suggested Citation

  • Peter Elbau & Leonidas Mindrinos & Leopold Veselka, 2021. "Quantitative OCT Reconstructions for Dispersive Media," Springer Books, in: Barbara Kaltenbacher & Thomas Schuster & Anne Wald (ed.), Time-dependent Problems in Imaging and Parameter Identification, pages 229-266, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-57784-1_8
    DOI: 10.1007/978-3-030-57784-1_8
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