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Item Details
| Title:
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PROPAGATION OF ELECTROMAGNETIC WAVES THROUGH, ALONG AND OVER A THREE-DIMENSIONAL CONDUCTING HALF SPACE
EM WAVES OVER A CONDUCTING EARTH |
| By: |
D. S. Gilliam, J. R. Schulenberger |
| Format: |
Paperback |
| List price:
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£36.95 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
3820489053 |
| ISBN 13: |
9783820489057 |
| Publisher: |
PETER LANG GMBH |
| Pages: |
209 |
| Synopsis: |
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. |
| Illustrations: |
illustrations |
| Publication: |
Germany |
| Imprint: |
Peter Lang GmbH |
| Returns: |
Returnable |
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