Full-wave analysis of single cylindrical striplines and microstriplines with multilayer dielectrics

Abstract

SUMMARYIn this paper, the spectral-domain method is used to calculate the propagation characteristics of cylindrical microstrip transmission lines. The problem is formulated using an electric field integral equation and the spectral-domain Green's function. The solutions of the field components are obtained in matrix forms, which facilitate the calculations of the Green's function and the power flowing over the lines. The Green's functions are obtained in terms of transition matrices over the dielectric layers. The obtained integral equation is solved by moment method using four kinds of basis functions. The convergence of the method is proven. Based on the power-current definition, a stationary expression for the characteristic impedance has been derived analytically. Numerical results of the effective dielectric constant and the characteristic impedance for various line parameters are calculated and analysed. The computed data are found to be in good agreement with results obtained using other methods. The formulation is then applied to covered microstripline, microstripline and stripline with air gaps, for which data are not found in the literature to date. The presented method is used to guide design of microstrip coil for magnetic resonance imaging. This method is also suitable for investigation of multiconductor strip lines.

Axial Green's function method for multi‐dimensional elliptic boundary value problems

“…For each particular boundary value problem, the availability of the fundamental solution is thus a key to the existence of the Green's function and its applicability. The Laplace equation, the heat equation with constant coefficient, and the Helmholtz equation in a homogeneous medium [11][12][13] are among examples that the fundamental solutions are available for the Green's function technique.…”

Tilted fibre Bragg grating sensors : application in monitoring of the chemical fabrication of nanometer metal films

“…U2Ji2. -ß2 is the transverse propagation constant in the ¿th layer of the 31 multilayer medium, for a wave with propagating constant ß along ?…”

“…Any structure with cylindrical-symmetry might be represented as a sequence of cylindrical layers. By choosing each layer small enough we may 3.3 Matrix method 37 In order to find propagation constant and mode profiles we can use matrix method [24,[29][30][31]. With the help of matrix equation we can connect field components from the opposite sides of each uniform layer.…”