| The Propagation of Electromagnetic Waves Through, Along and Over a Three-Dimensional Conducting Half Space: Em Waves Over a Conducting Earth Contributor(s): Martensen, Erich (Editor), Gilliam, D. S. (Author), Schulenberg, John R. (Author) |
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ISBN: 3820489053 ISBN-13: 9783820489057 Publisher: Peter Lang Gmbh, Internationaler Verlag Der W OUR PRICE: $55.05 Product Type: Paperback Published: December 1986 |
| Additional Information |
| BISAC Categories: - Science | Waves & Wave Mechanics - Mathematics - Science | Physics - General |
| Dewey: 530.141 |
| LCCN: 86148232 |
| Series: Methoden Und Verfahren Der Mathematischen Physik, |
| Physical Information: 209 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |