Spectral Domain Analysis of Gyrotropic Anisotropy Chiral Effect on the Input Impedance of a Printed Dipole Antenna

Abstract

Abstract-A theoretical analysis of a printed dipole antenna on a gyrotropic-anisotropy chiral dielectric substrate is presented. The study is based on numerical techniques for the characterization of electromagnetic propagation in chiral media. The general complex wave equation and the dispersion relation for such a medium are derived in the spectral domain. The spectral Green's function of a grounded dielectric chiral slab is developed, and the spectral domain moment method impedance matrix elements are calculated. The effect of the chiral gyrotropy element on the input impedance of a dipole antenna printed on a grounded chiral substrate is analyzed using the Galerkin-based Method of Moments.

Complex Bianisotropy Effect on the Propagation Constant of a Shielded Multilayered Coplanar Waveguide Using Improved Full Generalized Exponential Matrix Technique

“…The considered structure is based on a complex bianisotropic medium (region 1) characterized by full 3 × 3-magneto-electric tensors expressing the cross coupling between electric and magnetic fields. Bianisotropic materials, in their general form, are characterized by the following constitutive relations [30,41,45].…”

“…The efficient spectral Galerkin-based method of moments (SGMoM) is extensively used to analyze microwave planar structures [18,22,25,27,29,30,[41][42][43][44][45][46][47][48]. In our recent work [42], we presented an analytical modeling of a shielded microstrip line based on an anisotropic medium with full 3 × 3 permittivity and permeability tensors.…”

“…On the other hand, the computational time drastically increases with the required accuracy because of the slow convergence of integrals and series summations making this approach time intensive [43]. For accelerated convergence and efficient computation, several techniques have been used [44][45][46][47]. The time intensive part in the SGMoM is the evaluation of the matrix elements and the determinant calculation, as the matrix size is large in most cases.…”

“…In [28], the Green's function-based volume integral equation computation is accelerated using the fast Fourier transform technique. In [44,45], the impedance matrix elements based on Sommerfeld-type infinite double integral Green functions evaluation is accelerated by converting the infinite double integral of the impedance-matrix elements into a finite one-dimensional integral by using the asymptotic Green's functions and triangular basis functions with edge condition. In [47], integral-equation formulation in the SGMoM is accelerated by extracting suitable half-space parts of the kernels which leads to an exponentially decaying integrand functions.…”

Generalized Exponential Matrix Technique Application for the Evaluation of the Dispersion Characteristics of a Chiro-Ferriteshielded Multilayered Microstrip Line

“…Some cases of linear complex media are considered in [23][24][25][26][27][28]; in [24,25], two cases: ξ = η = 0 and ξ = −η, in [23][24][25][26][27], the case: ξ = η = 0, and in [24,28] the case: ξ = η.…”