The inverse scattering problem for orthotropic media in polarization-sensitive optical coherence tomography

Peter Elbau; Leonidas Mindrinos; Otmar Scherzer

doi:10.1007/s13137-017-0102-y

The inverse scattering problem for orthotropic media in polarization-sensitive optical coherence tomography

Peter Elbau, Leonidas Mindrinos (Corresponding author), Otmar Scherzer

Publications: Contribution to journal › Article › Peer Reviewed

Abstract

In this paper we provide for a first time, to our knowledge, a mathematical model for imaging an anisotropic, orthotropic medium with polarization-sensitive optical coherence tomography. The imaging problem is formulated as an inverse scattering problem in three dimensions for reconstructing the electrical susceptibility of the medium using Maxwell’s equations. Our reconstruction method is based on the second-order Born-approximation of the electric field.

Original language	English
Pages (from-to)	145–165
Number of pages	21
Journal	GEM - International Journal on Geomathematics
Volume	9
DOIs	https://doi.org/10.1007/s13137-017-0102-y
Publication status	Published - Apr 2018

Austrian Fields of Science 2012

101028 Mathematical modelling

Keywords

ANISOTROPIC MEDIA
BIOLOGICAL TISSUE
BIREFRINGENCE
ELECTROMAGNETIC SCATTERING
Electromagnetic scattering
INTERIOR TRANSMISSION PROBLEM
MAXWELLS EQUATIONS
Maxwell's equations
Nonlinear integral equation
Optical coherence tomography
Maxwell’s equations

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10.1007/s13137-017-0102-yLicence: CC BY 4.0

http://phaidra.univie.ac.at/o:717611Licence: CC BY 4.0

Cite this

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title = "The inverse scattering problem for orthotropic media in polarization-sensitive optical coherence tomography",

abstract = "In this paper we provide for a first time, to our knowledge, a mathematical model for imaging an anisotropic, orthotropic medium with polarization-sensitive optical coherence tomography. The imaging problem is formulated as an inverse scattering problem in three dimensions for reconstructing the electrical susceptibility of the medium using Maxwell{\textquoteright}s equations. Our reconstruction method is based on the second-order Born-approximation of the electric field.",

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author = "Peter Elbau and Leonidas Mindrinos and Otmar Scherzer",

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year = "2018",

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language = "English",

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T1 - The inverse scattering problem for orthotropic media in polarization-sensitive optical coherence tomography

AU - Elbau, Peter

AU - Mindrinos, Leonidas

AU - Scherzer, Otmar

PY - 2018/4

Y1 - 2018/4

N2 - In this paper we provide for a first time, to our knowledge, a mathematical model for imaging an anisotropic, orthotropic medium with polarization-sensitive optical coherence tomography. The imaging problem is formulated as an inverse scattering problem in three dimensions for reconstructing the electrical susceptibility of the medium using Maxwell’s equations. Our reconstruction method is based on the second-order Born-approximation of the electric field.

AB - In this paper we provide for a first time, to our knowledge, a mathematical model for imaging an anisotropic, orthotropic medium with polarization-sensitive optical coherence tomography. The imaging problem is formulated as an inverse scattering problem in three dimensions for reconstructing the electrical susceptibility of the medium using Maxwell’s equations. Our reconstruction method is based on the second-order Born-approximation of the electric field.

KW - ANISOTROPIC MEDIA

KW - BIOLOGICAL TISSUE

KW - BIREFRINGENCE

KW - ELECTROMAGNETIC SCATTERING

KW - Electromagnetic scattering

KW - INTERIOR TRANSMISSION PROBLEM

KW - MAXWELLS EQUATIONS

KW - Maxwell's equations

KW - Nonlinear integral equation

KW - Optical coherence tomography

KW - Maxwell’s equations

UR - https://www.scopus.com/pages/publications/85044503326

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DO - 10.1007/s13137-017-0102-y

M3 - Article

SN - 1869-2672

VL - 9

SP - 145

EP - 165

JO - GEM - International Journal on Geomathematics

JF - GEM - International Journal on Geomathematics

ER -

The inverse scattering problem for orthotropic media in polarization-sensitive optical coherence tomography

Abstract

Austrian Fields of Science 2012

Keywords

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