Abstract
The scattering and propagation problem for time-harmonic waves in a stratified bi-anisotropic slab is considered. Based upon the identification of the left- and right-moving modes, and on a boundedness assumption concerning the space and frequency dependence of the physical parameters, a sequence of approximate solutions which converge absolutely and uniformly to the exact solution are derived. In particular, if the magnetoelectric coupling is small and the permittivity and permeability vary slowly, the approximate solutions converge so fast that the first approximation already gives a satisfactory approximation. With the present approximation method, approximate solutions valid for all frequencies can be obtained in explicit form.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
H. Cory, “Chiral devices — an overview of canonical problems”,J. Electromag. Waves Appl., Vol. 9, No. 5/6, 805–830, 1995.
D.L. Jaggard, X. Sun, and J.C. Liu, “On the chiral Riccati equation”,Microwave and Optical Technology Letters, 5(3), 107–112, 1992.
M. Norgren and S. He, “A general scheme for the electromagnetic reflection and transmission for composite structures of complex media,”Proc.IEE: Microwaves, Antennas and Propagation 142(1), 52–56, 1995.
A. J. Viitanen, I. V. Lindell, and A. H. Sihvala, “Generalized WKB approximation for stratified isotropic chiral media with obliquely incident plane wave,”J. Electromagnetic Waves and Applications, 5(10), 1105–1121, 1991.
S. He, “A time-harmonic Green's function technique and wave propagation in a stratified nonreciprocal chiral slab with multiple discontinuities”,J. Math. Phys., 33(12), 4103–4110, 1992.
S. He, “Closed-form solution for lossy exponential transmission line problem in frequency and time domains”,J. Electromagn. Waves Applic. 9(4), 521–540, 1995.
T. Robin, B. Souillard, R. Accolas, P. Theret, and S. Bolioli, “Modelling of electromagnetic properties of helix-loaded chiral media,”Chira194, 3rd International Workshop on chiral, bi-isotropic and bianisotropic media, pp. 103–108, F. Mariotte and J-P. Parneix, eds., Perigueux, France, May 18–20, 1994.
I. V. Lindell, A. J. Viitanen, and P.K. Koivisto, “Plane-wave propagation in a transversely bi-anisotropic uniaxial medium,”Microwave Opt. Techn. Letters, 6(8), 478–481, 1993.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
He, S. A uniform approximation to the scattering and propagation problem for a stratified Bi-anisotropic slab. Int J Infrared Milli Waves 17, 415–431 (1996). https://doi.org/10.1007/BF02088164
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02088164