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+ ...
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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.
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Add this copy of The Propagation of Electromagnetic Waves Through, Along to cart. $55.81, good condition, Sold by HPB-Red rated 5.0 out of 5 stars, ships from Dallas, TX, UNITED STATES, published 1986 by Peter Lang GmbH, Internationaler.
Edition:
1986, Peter Lang Gmbh, Internationaler Verlag Der Wissenschaften
Publisher:
Peter Lang Gmbh, Internationaler Verlag Der Wissenschaften
Published:
1986
Language:
English
Alibris ID:
18075068510
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Add this copy of The Propagation of Electromagnetic Waves Through, Along to cart. $118.83, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 1986 by Peter Lang GmbH, International.
Edition:
1986, Peter Lang Gmbh, Internationaler Verlag Der Wissenschaften
