电磁场理论中几何化·数论消发散方法(Ⅱ)简约电荷分布、一般形式解及数论消发散定理

应用科学学报 ›› 1991, Vol. 9 ›› Issue (3): 201-208.

电磁场理论中几何化·数论消发散方法(Ⅱ)简约电荷分布、一般形式解及数论消发散定理

戴显熹^1,2, 徐新闻¹, 李洪芳¹, 钟万蘅¹, 黄静宜¹

1. 复旦大学;
2. 美国纽约州大学, Stony Brook

收稿日期:1990-01-15 出版日期:1991-09-30 发布日期:1991-09-30
基金资助:
国家自然科学基金(1987-1989);上海自然科学基金(1990-1991)及通过CEEC授予的Glcrious Sun Fellowship (1990-1991)的支持

GEOMETRIZATION NUMBER THEORY ELIMINATING SINGULARITY APPROACH IN THE THEORY OF ELECTROMAGNETISM(Ⅱ) Reduced Charge Distribution, General Formal Solution and Number Theory Eliminating Singularity Theorem

DAI XIANXI^1,2, XU XINWEN¹, LI HONGFANG¹, ZHONG WANGHEN¹, HUANG JINGYI¹

1. Fudan University;
2. State University of New York at stony Brook

Received:1990-01-15 Online:1991-09-30 Published:1991-09-30

摘要/Abstract

摘要： 该文为GNES方法论文系列中的第二篇.建议简约电荷分布的概念,并讨论其应用.给出一般的基本积分方程组的形式解,它将由几何参数直接表示电容系数.给出数论消发散定理,它提供了既自然地消除积分核的对角线奇性,又能同时运用数论方法的一个具体方案,而且不带调节参数.

关键词: 简约电荷分布, 一般形式解, 微波理论, 数论消发散定理

Abstract: This paper is the second one of the paper series on GNES approach. In this paper the concept of reduced charge distribution is suggested and its applications are discussed. The formal solutions of the general basic integral equation systems are given, which express the coefficients of capacity by the geometric parameters of the device directly. The number theory eliminating singularity theorem is also given. It provides a scheme, which simultaneously applies the number theory and naturally cancels the diagonal singularities of the integral kernels without introducing any adjustable parameters.

Key words: number theory eliminating Singularity theorem, reduced charge distribution, theory of microwave, general formal solution

戴显熹, 徐新闻, 李洪芳, 钟万蘅, 黄静宜. 电磁场理论中几何化·数论消发散方法(Ⅱ)简约电荷分布、一般形式解及数论消发散定理[J]. 应用科学学报, 1991, 9(3): 201-208.

DAI XIANXI, XU XINWEN, LI HONGFANG, ZHONG WANGHEN, HUANG JINGYI. GEOMETRIZATION NUMBER THEORY ELIMINATING SINGULARITY APPROACH IN THE THEORY OF ELECTROMAGNETISM(Ⅱ) Reduced Charge Distribution, General Formal Solution and Number Theory Eliminating Singularity Theorem[J]. Journal of Applied Sciences, 1991, 9(3): 201-208.