Method for Solving Physical Problems Described by Linear Differential Equations

Описание

Тип публикации: статья из журнала

Год издания: 2017

Идентификатор DOI: 10.1007/s11182-017-0934-9

Ключевые слова: current-carrying coil, electromagnetic field, linear equations in partial derivatives, spherical harmonics, near-field magnetic communication

Аннотация: 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 Показать полностьюfor 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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Издание

Журнал: RUSSIAN PHYSICS JOURNAL

Выпуск журнала: Vol. 59, Is. 9

Номера страниц: 1482-1490

ISSN журнала: 10648887

Место издания: NEW YORK

Издатель: SPRINGER

Авторы

  • Belyaev B.A. (Russian Acad Sci, LV Kirensky Inst Phys, Siberian Branch, Fed Res Ctr,Krasnoyarsk Sci Ctr, Krasnoyarsk, Russia; Siberian Fed Univ, Krasnoyarsk, Russia; Siberian State Aerosp Univ, Krasnoyarsk, Russia)
  • Tyurnev V.V. (Russian Acad Sci, LV Kirensky Inst Phys, Siberian Branch, Fed Res Ctr,Krasnoyarsk Sci Ctr, Krasnoyarsk, Russia; Siberian Fed Univ, Krasnoyarsk, Russia)

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