Quantitative OCT Reconstructions for Dispersive Media

Peter Elbau (), Leonidas Mindrinos () and Leopold Veselka ()
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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

A chapter in Time-dependent Problems in Imaging and Parameter Identification, 2021, pp 229-266 from Springer

Abstract: 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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-57784-1_8

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DOI: 10.1007/978-3-030-57784-1_8

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