Analysis of the Effect of a Gyrotropic Anisotropy on the Phase Constant and Characteristic Impedance of a Shielded Microstrip Line

Abstract

In this work, we present an analytical modeling of a highly complex medium-based shielded microstrip line. The study aims at a numerical evaluation of the characteristic impedance and the dispersion characteristics of the dominant hybrid mode in the microstrip line printed on an anisotropic medium. The newly considered complex anisotropy has a full 3×3 tensor form of permittivity and permeability. The study is based on the derivation of the Green's functions of the general complex-medium-based structure in the Fourier domain. The spectral Method of Moments (MoM) and the Galerkin's procedure are combined to solve the resulting homogeneous system of equations. The effect of the gyrotropic anisotropy on the phase constant and the characteristic impedance is particularly investigated. Original and interesting numerical results are obtained and discussed. Our results are found to be in good agreement with available isotropic case data reported in literature.

Analysis of the Combinatory Effect of Uniaxial Electrical and Magnetic Anisotropy on the Input Impedance and Mutual Coupling of a Printed Dipole Antenna

“…In this study, the uniaxial electrical and magnetic anisotropic substrates are characterized by the following expressions of the permittivity and permeability, respectively: The guided electromagnetic field propagation in the considered anisotropic medium is described in terms of superposition of the decoupled TM and TE modes. The deduced longitudinal components of the electromagnetic field of the TE and TM modes satisfy the following homogeneous second-degree differential wave equation [15]:…”

Theoretical Study of the Input Impedance and Electromagnetic Field Distribution of a Dipole Antenna Printed on an Electrical/Magnetic Uniaxial Anisotropic Substrate

“…Anisotropy is an intrinsic property found in crystals, layered structures, composite materials, and other natural materials, in addition to artificial materials. The effect of anisotropy must be considered and cannot be ignored in the prediction of unusual properties in engineering designs such as for sensing and antenna applications [9][10][11]. They have attracted much interest and support from researchers and manufacturers as powerful instruments with interesting growth potential in microwave applications [12].…”

“…The electromagnetic field distributions and input impedance are examined by applying the spectral method of moments based on the immittance functions derivation [35][36][37][38]. The Method of Moments in the spectral domain is found to be a powerful numerical technique to solve integral equations [39], and considered as rigorous and full-wave numerical technique for solving open boundary electromagnetic problems and the employing of this method becomes an increasingly important research issue [4][5][6][7][8][9][10][17][18][19][20][21][22][23][24][28][29][30][31][34][35][36][37][38]. To accurately predict the electromagnetic behavior of microwave components, the method of the moment is widely used in the spectral domain [8][9][10]17,18,20].…”

“…The Method of Moments in the spectral domain is found to be a powerful numerical technique to solve integral equations [39], and considered as rigorous and full-wave numerical technique for solving open boundary electromagnetic problems and the employing of this method becomes an increasingly important research issue [4][5][6][7][8][9][10][17][18][19][20][21][22][23][24][28][29][30][31][34][35][36][37][38]. To accurately predict the electromagnetic behavior of microwave components, the method of the moment is widely used in the spectral domain [8][9][10]17,18,20]. The efficient spectral Galerkin-based method of moments (SGMoM) is extensively used to analyze microwave planar structures [34], such as microstrip lines and antennas, with perfect conductors, it was first applied in the microwave field by Harrington in 1968 [39,40].…”

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

“…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. To reduce calculations, some conditions on the permittivity and permeability constants were considered ensuring the decoupling of the TE and TM modes.…”