A one-dimensional solution of the homogeneous diffusion equation

Author

Fabricatore, Giulio ; Gasparini, Ferdinando ; Miano, Giovanni

Author_Institution

Dept. of Electr. Eng., Naples Univ., Italy

Volume

32

Issue

4

fYear

1989

fDate

11/1/1989 12:00:00 AM

Firstpage

454

Lastpage

456

Abstract

Basic features of the one-dimensional diffusion of the electromagnetic field in a linear, homogeneous, isotropic, time-invariant, and infinitely large conducting region are described. As the initial condition for the magnetic field, a spatial pattern suggested by the elementary Fourier function (Gaussian distribution) is assumed; a simple development follows which introduces in a straightforward manner some basic features of the diffusion phenomena. The suggested procedure is intended for use in classroom instruction about the basic concepts on electromagnetic diffusion and is especially suited to students with no previous knowledge about the solution of partial differential equations

Keywords

electromagnetic field theory; Gaussian distribution; electromagnetic field; elementary Fourier function; homogeneous diffusion equation; infinitely large conducting region; isotropic conducting region; linear conducting region; one-dimensional solution; partial differential equations; spatial pattern; time-invariant conducting region; Conducting materials; Conductors; Current density; Differential equations; Electromagnetic fields; Gaussian distribution; Magnetic confinement; Magnetic field measurement; Magnetic fields; Partial differential equations;

fLanguage

English

Journal_Title

Education, IEEE Transactions on

Publisher

ieee

ISSN

0018-9359

Type

jour

DOI

10.1109/13.42146

Filename

42146