TY - JOUR
TI - A spectral-theoretic approach for the solution of Maxwell's equations in stratified media
AU - Athanasiadis, C.
AU - Kiriaki, K.
AU - Stratis, I.G.
JO - Mathematical Methods in the Applied Sciences
PY - 1998
VL - 21
TODO - 8
SP - 685-700
PB - John Wiley and Sons Ltd
SN - 0170-4214, 1099-1476
TODO - 10.1002/(sici)1099-1476(19980525)21:8<685::aid-mma966>3.0.co;2-%23
TODO - null
TODO - 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.
ER -