Method for Solving Physical Problems Described by Linear Differential Equations

被引：0
|
作者：
B. A. Belyaev
V. V. Tyurnev
机构：
[1] L. V. Kirensky Institute of Physics of the Federal Research Center of Krasnoyarsk Scientific Center of the Siberian Branch of the Russian Academy of Sciences,
[2] Siberian Federal University,undefined
[3] Siberian State Aerospace University,undefined
来源：
Russian Physics Journal | 2017年 / 59卷
关键词：
current-carrying coil; electromagnetic field; linear equations in partial derivatives; spherical harmonics; near-field magnetic communication;
D O I：
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学科分类号：
摘要：
A method for solving physical problems is suggested in which the general solution of a differential equation in partial derivatives is written in the form of decomposition in spherical harmonics with indefinite coefficients. Values of these coefficients are determined from a comparison of the decomposition with a solution obtained for any simplest particular case of the examined problem. The efficiency of the method is demonstrated on an example of calculation of electromagnetic fields generated by a current-carrying circular wire. The formulas obtained can be used to analyze paths in the near-field magnetic (magnetically inductive) communication systems working in moderately conductive media, for example, in sea water.
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页码：1482 / 1490
页数：8
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