物理逆问题中的一个定理
A THEOREM FOR SOME INVERSE PROBLEMS IN PHYSICS
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摘要: 本文将物象重建归结为描述这一物理过程的积分方程的定义域的反演问题。本文提出了一个定理,当被积函数满足某些先决条件时,则该定义域的轮廓可以借助于这个定理反演获得。计算机模拟结果表明了本文的论述和定理的正确性。
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关键词:
- 电磁学; 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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