The Propagation of Electromagnetic Waves Through, Along and Over a Three-Dimensional Conducting Half Space: Em Waves Over a Conducting Earth (Paperback) (ISBN-13: 9783820489057)

A representation in terms of explicitly given generalized eigenfunctions is obtained for the semigroup S(t) = exp(-ixt) solving the Cauchy problem for the time-dependent Maxwell equations in the case of two distinct media filling the upper and lower half spaces of R3, whereby the upper medium is loss-free, while the lower has finite conductivity. The solution u = S(t)f, fED(1), can be written in the form u = uo+uo+uso+us++us-+op+up. Here uo and uo are, respectively, static and quasistatic parts of the solution: us+ and us+ consists of a superposition of AH modes -- modes whose frequencies have no real part and thus do not propagate; uxx consist of superpositions of surface-wave modes, propagating in opposite directions according to + or -; uop and up are superpositions of plane-wave modes having the frequencies of the upper and lower media respectively. The structure of the AH and surface-wave components is determined: the are essentially scalar waves, and it is shown how such waves can be constructed explicitly from solutions of a simple problem for the scalar wave equation.

Author: Erich Martensen,D. S. Gilliam,John R. Schulenberg
ISBN-10: 3820489053
ISBN-13: 9783820489057
Publisher: Peter Lang Gmbh, Internationaler Verlag Der W
Language: English
Published: 12/31/1986
Pages: 209
Format: Paperback