偏振敏感光学相干层析成像中正交各向异性介质的逆散射问题。

IF 1.9 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

GEM-International Journal on Geomathematics Pub Date : 2018-01-01 Epub Date: 2017-12-27 DOI:10.1007/s13137-017-0102-y

Peter Elbau, Leonidas Mindrinos, Otmar Scherzer

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引用次数: 5

摘要

在本文中，据我们所知，我们首次提供了一个用偏振敏感光学相干层析成像各向异性、正交异性介质的数学模型。利用麦克斯韦方程组重建介质的电磁化率，将成像问题表述为三维逆散射问题。我们的重构方法是基于电场的二阶玻恩近似。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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

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.

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来源期刊

GEM-International Journal on Geomathematics MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

3.50

自引率

0.00%

发文量