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Quantitative OCT Reconstructions for Dispersive Media

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Time-dependent Problems in Imaging and Parameter Identification

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.

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Acknowledgements

The work of PE and LV was supported by the Austrian Science Fund (FWF) in the project F6804–N36 (Quantitative Coupled Physics Imaging) within the Special Research Programme SFB F68: “Tomography Across the Scales”.

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Authors and Affiliations

  1. Faculty of Mathematics, University of Vienna, Vienna, Austria

    Peter Elbau & Leopold Veselka

  2. Johann Radon Institute for Computational and Applied Mathematics (RICAM), Linz, Austria

    Leonidas Mindrinos

Authors
  1. Peter Elbau
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  2. Leonidas Mindrinos
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  3. Leopold Veselka
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Corresponding author

Correspondence to Leonidas Mindrinos .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Alpen-Adria-Universität Klagenfurt, Klagenfurt, Austria

    Barbara Kaltenbacher

  2. Department of Mathematics, Saarland University, Saarbrücken, Saarland, Germany

    Thomas Schuster

  3. Department of Mathematics, Saarland University, Saarbrücken, Saarland, Germany

    Anne Wald

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Elbau, P., Mindrinos, L., Veselka, L. (2021). Quantitative OCT Reconstructions for Dispersive Media. In: Kaltenbacher, B., Schuster, T., Wald, A. (eds) Time-dependent Problems in Imaging and Parameter Identification. Springer, Cham. https://doi.org/10.1007/978-3-030-57784-1_8

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