Eyraud C, Saleh H, Geffrin J-M
J Opt Soc Am A Opt Image Sci Vis. 2019 Feb 1;36(2):234-244. doi: 10.1364/JOSAA.36.000234.
This paper focuses on the role of polarization-and more specifically, the effect of its selection-in 3D quantitative imaging obtained from scattered field measurements. Although polarization is now commonly used in linear imaging procedures (when unknowns are linked by a linear relationship to the measured signal), the influence of polarization choice is generally ignored in nonlinear imaging problems. In this paper, we propose a formulation to obtain the 3D permittivity map, by a nonlinear imaging procedure, from the scattering matrix. This allows one to select, from the same data set, the desired polarization case as input data for the imaging algorithm. We present a study of the influence of the input data polarization choice on the reconstructed permittivity map. This work shows that a suitable basis choice for the description of the scattering matrix and an appropriate selection of the element of this scattering matrix can greatly improve imaging results.
本文聚焦于极化的作用——更具体地说，是其选择在从散射场测量获得的三维定量成像中的效果。尽管极化目前常用于线性成像过程（当未知数与测量信号通过线性关系相联系时），但在非线性成像问题中，极化选择的影响通常被忽略。在本文中，我们提出一种通过非线性成像过程从散射矩阵获取三维介电常数图的公式。这使得人们能够从同一数据集选择所需的极化情况作为成像算法的输入数据。我们对输入数据极化选择对重建介电常数图的影响进行了研究。这项工作表明，用于描述散射矩阵的合适基的选择以及该散射矩阵元素的适当选取能够极大地改善成像结果。
