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A spectral-theoretic approach for the solution of Maxwell's equations in stratified media

โœ Scribed by Christodoulos Athanasiadis; Kiriakie Kiriaki; Ioannis G. Stratis

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
137 KB
Volume
21
Category
Article
ISSN
0170-4214

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โœฆ Synopsis

Communicated by P. Werner

In the present work, the problem of electromagnetic wave propagation in three-dimensional stratified media is studied. The method of decoupling the electric and magnetic fields is implemented, and the spectral approach is adopted, componentwise, to the vector equation involving the electric field. Operational calculus of self-adjoint, positive operators in suitable Hilbert spaces is used to solve the corresponding initial value problems. The spectral families of these operators for the cases of the whole space and of a finite layer are constructed. A discussion on the applicability of the obtained results to physical problems is also included.

1998 B. G. Teubner Stuttgart-John Wiley & Sons Ltd.

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