Variational Iterative Method-A Novel Method for Microwave Imaging of Two-Dimensional Dielectric Cylinder in Free Space

卿安永; 李敬; 任朗

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Variational Iterative Method-A Novel Method for Microwave Imaging of Two-Dimensional Dielectric Cylinder in Free Space

更新时间：2025-12-08

- Variational Iterative Method-A Novel Method for Microwave Imaging of Two-Dimensional Dielectric Cylinder in Free Space
- Acta Electronica Sinica Issue 9, Pages: 86-89(1998)
- 作者机构：
  
  1. 西南交通大学电磁场与微波技术研究所!成都
  2. 610031
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN011
- Published：1998
- 稿件说明：
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[1]卿安永,李敬,任朗.自由空间中二维介质柱微波成像的变分迭代法[J].电子学报,1998(09):86-89.

卿安永, 李敬, 任朗. Variational Iterative Method-A Novel Method for Microwave Imaging of Two-Dimensional Dielectric Cylinder in Free Space[J]. Acta Electronica Sinica, 1998, (9): 86-89.
[1]卿安永,李敬,任朗.自由空间中二维介质柱微波成像的变分迭代法[J].电子学报,1998(09):86-89. DOI：

卿安永, 李敬, 任朗. Variational Iterative Method-A Novel Method for Microwave Imaging of Two-Dimensional Dielectric Cylinder in Free Space[J]. Acta Electronica Sinica, 1998, (9): 86-89. DOI：

摘要

本文提出自由空间中二维介质柱微波成像的新方法一变分迭代法（VIM），详细考察了它的性能．并从理论上分析了它相比其它同类成像方法性能明显优越的原因，为今后进一步提高它的成像性能、拓宽其适用范围提供了理论基础．我们综合利用电磁体等效原理和变分原理导出了VIM的反演方程，该方程反映了散射场的微小变化与目标介质柱介电参数微小变化之间的近似线性关系，从而反映了散射场与目标介质柱介电参数之间的非线性关系简要讨论了病态问题的正则化方法．详细考察了VIM法的收敛性能、适应复杂目标的能力、抗随机噪声干扰的能力、利用不完备测量散射信息反演目标的能力、利用单频散射信息反演目标的能力等多项反映其实用能力的性能指标，证实了方法的实用价值．

Abstract

A novel method named as VIM for microwave imaging of twodimensional dielectric cylinder in free space is presented. It is an iterative method based on volume equivalence principle and variation principle. The performance of it is examined throgh the reconstruction of many kinds of objects in the presence of random noise. Compared with the well known BIM

it inverts the unknown objects mor quickly and more accurately. It can rerenstruct the distribution of permttivity and conductivity simultanamsly. It is also shown that it can invert those complex objects such as multi-cylinder object

large object

high-contrast object. The behavior of this method in the case of incomplete scattering data is taken into account too. The effect of random noise and the capability of this method to invert unknowns using singe frequency scattering data are also investigated. We have also explained the reason why our method behaves better than the formr methods such as BIM and DBIM.

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