The propagation of electromagnetic waves through, along, and over a three-dimensional conducting half space
著者
書誌事項
The propagation of electromagnetic waves through, along, and over a three-dimensional conducting half space
（Methoden und Verfahren der mathematischen Physik, Bd. 30）
P. Lang, c1986
- pbk.
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注記
Bibliography: p. 203-205
内容説明・目次
内容説明
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.
目次
Contents: Maximal Dissipative operators - Paramutation Relations, Spectrum, Resolvents, and Urmodes - Parseval Equality - Structure of Surface waves and AH waves.
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