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

Abstract

A theoretical study of the electromagnetic propagation in a complex medium suspended multilayer coplanar waveguide (CPW) is presented. The study is based on the generalized exponential matrix technique (GEMT) combined with Galerkin’s spectral method of moments applied to a CPW printed on a bianisotropic medium. The analytical formulation is based on a Full-GEMT, a method that avoids usual procedures of heavy and tedious mathematical expressions in the development of calculations and uses matrix-based mathematical expressions instead. These particularities are exploited to develop a mathematical model for the characterization of wave propagation in a three-layer shielded suspended CPW structure. This study is based on the development of mathematical formulations in full compact matrix-based expressions resulting in Green’s functions in a matrix form. The implemented method incorporates a new accelerating procedure developed in the GEMT which provides an initial value used to speed up searching for the exact solution in the principal computation code. This helped us to obtain accurate solutions with tolerable computing time. Good agreements have been achieved with the literature in terms of accuracy and rapid convergence. The results for different cases of bianisotropy have been investigated, and particularly, the effect on the dispersion characteristics is presented and compared with the isotropic case.

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

“…Many attempts have been made to analyze the problem of dipole antennas on an anisotropic uniaxial media with the optical axis perpendicular to the substrate plane [25][26][27][28][29] and with arbitrary optical axes orientations [30]. The input impedance and mutual coupling of single and multilayer dipole antennas printed on isotropic, anisotropic, and chiral materials have been studied in [29,[31][32][33][34].…”

“…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].…”

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

“…Anisotropy is an intrinsic property that is found in crystals, layered structures, composite materials and other natural materials, in addition to artificial ones. The effect of anisotropy is necessary to be taken into consideration and cannot be ignored in predicting properties in engineering design for sensing and antenna applications [8]- [10]. These have attracted a lot of interest and support from researchers and manufacturers as powerful instruments with a promising growth potential in microwave applications [11].…”

“…These have attracted a lot of interest and support from researchers and manufacturers as powerful instruments with a promising growth potential in microwave applications [11]. Several studies have been conducted to characterize microwave structures printed on complex media, ferrites, metamaterials, chiral using numerical and analytical methods [10]- [21]. Input impedance and mutual coupling of single and multilayer dipole antennas printed on isotropic, anisotropic and chiral materials have been investigated in [22]- [27].…”

Recent Technical Developments in Energy-Efficient 5G Mobile Cells: Present and Future

“…This work is based on the generalized exponential matrix technique (GEMT) that was joined with Galerkin's spectral method of moments, and then applied to a CPW printed on a bianisotropic medium. The analytical formulation is based on a Full-GEMT, a method that avoids the usual procedure of heavy and tedious mathematical expressions, using matrix-based mathematics instead [20].…”