Vector circuit theory for isotropic and chiral slabs

This paper discusses modelling of isotropic and chiral slabs by using vector circuits involving dyadic impedances and admittances and tangential field components. The analysis is based on the exact averaging method for the Fourier-transformed field equations of the slab. Then, by considering tangential electric and magnetic fields as voltages and currents, analogous vector circuits, such as equivalent two-port circuits, Thevenin and Norton circuits and T and II circuits, are given for isotropic and chiral isotropic and homogeneous and nonhomogeneous slabs. These vector circuits are most appropriate when calculating propagated and reflected fields for general excitation. In addition, different approximations related to slabs thin either in wavenumbers in the normal or in transversal directions or to slabs with different propagation constant ratios are considered. A case when a slab can be simulated by a sheet is also discussed. The results obtained can be useful in many practical situations, for example, f...

[1]  Vijay K. Varadan,et al.  Field equations, Huygens’s principle, integral equations, and theorems for radiation and scattering of electromagnetic waves in isotropic chiral media , 1988 .

[2]  Vijay K. Varadan,et al.  A Parametric Study of Microwave Reflection Characteristics of a Planar Achiral-Chiral Interface , 1986, IEEE Transactions on Electromagnetic Compatibility.

[3]  T. Senior.  Approximate boundary conditions , 1981 .

[4]  Nader Engheta,et al.  Canonical sources and duality in chiral media (antenna arrays) , 1988 .

[5]  N. Kuzmin.  Approximate Boundary Conditions in the Electrodynamics of Stratified Tensor Media , 1969 .

[6]  N. Engheta,et al.  One- and Two-Dimensional Dyadic Green's Functions in Chiral Media , 1989 .

[7]  John L. Volakis,et al.  Sheet simulation of a thin dielectric layer , 1987 .

[8]  Thomas B. A. Senior,et al.  Combined resistive and conductive sheets , 1985 .

[9]  Ismo V. Lindell,et al.  Exact image theory for the Sommerfeld half-space problem, part III: General formulation , 1984 .

[10]  M. P. Silverman,et al.  Reflection and refraction at the surface of a chiral medium: comparison of gyrotropic constitutive relations invariant or noninvariant under a duality transformation , 1986 .

[11]  L. Silberstein.  Elektromagnetische Grundgleichungen in bivektorieller Behandlung , 1907 .

[12]  R. Harrington,et al.  An impedance sheet approximation for thin dielectric shells , 1975 .

[13]  Nader Engheta,et al.  Electromagnetic chirality and its applications , 1988, IEEE Antennas and Propagation Society Newsletter.

[14]  Ignacio Tinoco,et al.  The Optical Activity of Oriented Copper Helices. I. Experimental , 1957 .

[15]  Nader Engheta,et al.  Electromagnetic wave propagation through a dielectric–chiral interface and through a chiral slab , 1988 .

[16]  M. Idemen.  Straightforward derivation of boundary conditions on sheet simulating an anisotropic thin layer , 1988 .