Development of mathematical models for quantitative OCT: A review

Peter Elbau; Leonidas Mindrinos; Leopold Veselka; Peter Elbau; Leonidas Mindrinos; Leopold Veselka

doi:10.3934/math.2023130

AIMS Mathematics

2023, Volume 8, Issue 2: 2508-2531. doi: 10.3934/math.2023130

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Development of mathematical models for quantitative OCT: A review

1.
Faculty of Mathematics, University of Vienna, Austria
2.
Department of Mathematics, National Technical University of Athens, Greece

Received: 29 July 2022 Revised: 22 October 2022 Accepted: 25 October 2022 Published: 07 November 2022
MSC : 78-10, 78A25, 78A40

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.
- optical coherence tomography,
- mathematical modeling,
- Gaussian wave,
- Maxwell's equations,
- scattering theory,
- experimental data
Citation: Peter Elbau, Leonidas Mindrinos, Leopold Veselka. Development of mathematical models for quantitative OCT: A review[J]. AIMS Mathematics, 2023, 8(2): 2508-2531. doi: 10.3934/math.2023130

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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.

References

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