A one-dimensional solution of the homogeneous diffusion equation

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.<
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