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Review | Open Access

Development of mathematical models for quantitative OCT: A review

Peter Elbau1, Leonidas Mindrinos2( ), Leopold Veselka1
Faculty of Mathematics, University of Vienna, Austria
Department of Mathematics, National Technical University of Athens, Greece
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Abstract

We review mathematical models describing how Optical Coherence Tomography works. Hereby, we focus on models based on Maxwell's equations and their simplifications. We highlight especially the effects of different modeling assumptions for the incident illumination, the medium, the light propagation, and the measurement setup and illustrate the qualitatively differing behavior in numerical simulations of the OCT data and compare them with real data from OCT measurements.

Keywords

optical coherence tomographymathematical modelingGaussian waveMaxwell's equationsscattering theoryexperimental data
CLC number: 78-10, 78A25, 78A40

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AIMS Mathematics
Volume 8 Issue 2,
February 2023
Pages 2508-2531
DOI: 10.3934/math.2023130

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Cite this article:
Elbau P, Mindrinos L, Veselka L. Development of mathematical models for quantitative OCT: A review. AIMS Mathematics, 2023, 8(2): 2508-2531. https://doi.org/10.3934/math.2023130

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Received: 29 July 2022
Revised: 22 October 2022
Accepted: 25 October 2022
Published: 15 February 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)