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

被引:4
作者
Elbau P. [1 ]
Mindrinos L. [1 ]
Scherzer O. [1 ,2 ]
机构
[1] Computational Science Center, University of Vienna, Oskar-Morgenstern-Platz 1, Vienna
[2] Johann Radon Institute for Computational and Applied Mathematics (RICAM), Altenbergerstraße 69, Linz
基金
奥地利科学基金会;
关键词
Electromagnetic scattering; Maxwell’s equations; Nonlinear integral equation; Optical coherence tomography;
D O I
10.1007/s13137-017-0102-y
中图分类号
学科分类号
摘要
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. © 2017, The Author(s).
引用
收藏
页码:145 / 165
页数:20
相关论文
共 28 条
[1]  
Beker B., Umashankar K.R., Analysis of electromagnetic scattering by arbitrarily shaped two-dimensional anisotropic objects: combined field surface integral equation formulation, Electromagnetics, 9, 2, pp. 215-229, (1989)
[2]  
Bouma B.E., Tearney G.J., Handbook of Optical Coherence Tomography, (2002)
[3]  
Cakoni F., Colton D., A Qualitative Approach to Inverse Scattering Theory, 188, (2014)
[4]  
Cakoni F., Haddar H., A variational approach for the solution of the electromagnetic interior transmission problem for anisotropic media, Inverse Probl. Imaging, 1, 3, pp. 443-456, (2007)
[5]  
Cakoni F., Colton D., Monk P., Sun J., The inverse electromagnetic scattering problem for anisotropic media, Inverse Probl., 26, 7, (2010)
[6]  
Chew W., Waves and Fields in Inhomogeneous Media, (1990)
[7]  
Colton D., Kress R., Inverse Acoustic and Electromagnetic Scattering Theory, (2013)
[8]  
Colton D., Kress R., Monk P., Inverse scattering from an orthotropic medium, J. Comput. Appl. Math., 81, 2, pp. 269-298, (1997)
[9]  
Colton D., Paivarinta L., Sylvester J., The interior transmission problem, Inverse Probl. Imaging, 1, 1, pp. 13-28, (2007)
[10]  
de Boer J.F., Milner T.E., Gemert M.J.C., Nelson J.S., Two-dimensional birefringence imaging in biological tissue by polarization-sensitive optical coherence tomography, Opt. Lett., 22, pp. 934-936, (1997)