電磁逆散射非相關(guān)照射法的普遍公式
A GENERAL FORMULA OF UNRELATED ILLUMINATION METHOD FOR THE EM INVERSE SCATTERING PROBLEM
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摘要: 由第一類Fredholm積分方程所描述的電磁逆散射問題是非適定問題。通過一系列非相關(guān)照射,有可能獲得散射體的更多信息,從而改善解的非適定性。本文基于求解逆散射問題的非相關(guān)原理,推導(dǎo)了適于散射體在各種正交基下展開,求解電磁逆散射的普遍公式,并對所建立的參數(shù)反演公式解的唯一性進行了證明。
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關(guān)鍵詞:
- 電磁逆散射; 非相關(guān)照射; 矩量法
Abstract: The electromagnetic inverse scattering problem governed by the fiest kind of Fredholm integral equation is an ill-posed problem. By the aid of a series of unrelated illuminations we may obtain more information about the considered object and then achive a stable moment solution. On the basis of the unrelated illumination method(UIM), the paper derived a general formula that is suitable for solving the electromagnetic inverse problem, of which the object to be reconstructed may be expanded in various sets of othogonal bases. The uniqueness of the solution has been proved. -
Chiu C C, Kiang Y W. Inverse Problems, 1991, 7(1): 187-202.[2]Hansen P C. Inverse Problems, 1992, 8(3): 849-872.[3]Wang Weiyan, Zhang Shourong. IEEE Trans. on AP, 1992, AP-40(11): 1292-1296.[4]王衛(wèi)延,張守融.電子科學(xué)學(xué)刊,1992, 14(3): 240-246. -
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