Averaging of harmonic physical fields over an annular region enclosing field sources

被引：6

作者：

Li, L ^{[1
]}

机构：

[1] Univ Penn, Dept Radiol, Metab Magnet Resonance Res & Comp Ctr, Philadelphia, PA 19104 USA

来源：

AMERICAN JOURNAL OF PHYSICS | 2002年 / 70卷 / 10期

关键词：

D O I：

10.1119/1.1491264

中图分类号：

G40 [教育学];

学科分类号：

040101 ; 120403 ;

摘要：

Fields such as temperature, current density, and static electromagnetic fields in regions with no field sources are harmonic functions that satisfy the Laplace equation. Such functions on a sphere have a well-known mean value property. A new mean value property is derived for fields that are harmonic on an annular region, with the field sources enclosed by the inner boundary. Some examples are discussed. (C) 2002 American Association of Physics Teachers.

引用

页码：1029 / 1033

页数：5

共 13 条

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