Development of mathematical models for quantitative OCT: A review

Peter Elbau; Leonidas Mindrinos; Leopold Veselka

doi:10.3934/math.2023130

Development of mathematical models for quantitative OCT: A review

Peter Elbau, Leonidas Mindrinos, Leopold Veselka

Department of Mathematics

Publications: Contribution to journal › Review › Peer Reviewed

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.

Original language	English
Pages (from-to)	2508-2531
Number of pages	24
Journal	AIMS Mathematics
Volume	8
Issue number	2
DOIs	https://doi.org/10.3934/math.2023130
Publication status	Published - 2023

Austrian Fields of Science 2012

101028 Mathematical modelling

Keywords

experimental data
Gaussian wave
mathematical modeling
Maxwell’s equations
optical coherence tomography
scattering theory

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10.3934/math.2023130Licence: Unspecified

https://phaidra.univie.ac.at/o:2045834Licence: CC BY 4.0

Cite this

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title = "Development of mathematical models for quantitative OCT: A review",

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.",

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KW - Gaussian wave

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KW - Maxwell’s equations

KW - optical coherence tomography

KW - scattering theory

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Development of mathematical models for quantitative OCT: A review

Abstract

Austrian Fields of Science 2012

Keywords

Access to Document

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