利用TE極化波照射穿牆導體之成像研究

Imaging of Through-Wall Conductors by Transverse Electric Wave Illumination

辜偉翔(Wei-Siang Gu)

指導教授 ： 丘建青

淡江大學/工學院/電機工程學系碩士班/碩士(2015年)

https://doi.org/10.6846/TKU.2015.01114

摘要

本論文使用自我適應之動態差異型演化法應用於TE極化波照射穿牆導體之逆散射問題。針對物體照射TE (Transverse Electric) 極化波在穿牆導體的逆散射進行探討。在此使用傅立葉級數展開及描述物體的形狀，利用在導體表面的邊界條件及在物體外部量測的散射場，可推導出非線性積分方程式。將散射場積分方程式透過動差法求得散射場相關資訊，藉由此散射場相關資訊與自我適應之動態差異型演化法，將逆散射問題轉化為求解最佳化問題，重建出穿牆導體之形狀。
對於自我適應之動態差異型演化法，在數值模擬顯示中，即使最初的猜測值與實際散射體的形狀相差甚遠，我們仍可求得不錯的形狀函數，成功的重建出物體的形狀。而且在數值模擬顯示中，量測的散射場即使加入高斯分布雜訊的存在，依然可以得到良好的重建結果，研究證實其有良好的抗雜訊能力。

關鍵字

穿牆成像 ； TE極化波 ； 逆散射

並列摘要

This thesis presents an inverse scattering problem for recovering the shape of Through-Wall conducting cylinders behind the wall by self-adaptive dynamic differential evolution (SADDE). The Through-Wall conducting cylinders of unknown shapes are behind the wall and illuminated by the transverse electric (TE) plane wave from another space.
Based on the boundary condition and the measured scattered field, the nonlinear integral equation is derived and the imaging problem is reformulated into optimization problem. The self-adaptive dynamic differential evolution is employed to find out the global extreme solution of the object function. Numerical results show that the shape of the conductors can be well reconstructed.

並列關鍵字

Inverse Scattering ； Through-Wall imaging ； SADDE

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