多层介质微波成像的改进数值优化方法

Greeshmaja Govind, M. Akhtar
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摘要

提出了一种改进的基于牛顿-坎托洛维奇迭代格式的数值优化方法,可根据测量的谱域反射数据获得多层介质的一维介电图像。迭代方案的改进是通过使用独立的解析方法计算初始介电常数剖面来实现的。分析方法根据先验信息对未知的介电常数分布提供了很好的初始猜测,从而显著提高了所得解的收敛性和稳定性。本文提出的解决一维反散射问题的方案得到了成功的实现,并通过独立的模拟和实验数据进行了验证。
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Improved numerical optimization approach for microwave imaging of multi-layered media
An improved numerical optimization approach based on the Newton-Kantorovich iterative scheme to obtain the one dimensional dielectric image of the multi-layered media in terms of the measured spectral domain reflection data is presented. The improvement in the iterative scheme is achieved by computing the initial permittivity profile using an independent analytical approach. The analytical approach provides a very good initial guess of the unknown permittivity profile in terms of the a priori information, which significantly improves the convergence and stability of the achieved solution. The proposed scheme for solving the one-dimensional inverse scattering problem is successfully implemented, and validated with the help of independent simulated and experimental data.
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