物理逆問題中的一個定理
A THEOREM FOR SOME INVERSE PROBLEMS IN PHYSICS
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摘要: 本文將物象重建歸結(jié)為描述這一物理過程的積分方程的定義域的反演問題。本文提出了一個定理,當(dāng)被積函數(shù)滿足某些先決條件時,則該定義域的輪廓可以借助于這個定理反演獲得。計算機模擬結(jié)果表明了本文的論述和定理的正確性。
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關(guān)鍵詞:
- 電磁學(xué); 物象重建; 反演
Abstract: The image reconstruction of a supporter is refered to an inverse problem of the defined domain of the integral which describes the physical process under investigation. A theorem is proposed. If the integrand satisfies some conditions, the contour of the domain can be reconstructed with this theorem. The results of computer simulation support the theorem and the analysis. -
Stone M H. A Generalized Weierstrass Approzimation Theorem, Studies in Mathematics, Vol.1 Studies in modern analysis by R. C. Buck, pp30-87. The Mathem atical Asscciation of America.York, Pa:The Maple Press, Inc., 1962.[2]Ken-Hong Wang. Acta Mathematics Sinica, 1980, 23(2): 163-176.[3]Zentanian A H. Distribution Theory and Transform Analysis--An Introduction to Generalized Functions with Applications. New York and London: McGraw-Hill Book Company, 1965. -
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