An effective method for computing the parameters of coupled cylindrical microstrip line system is presented in this paper. Consider a cylindrical microstrip line cross-sectional configuration consisking of two concentric cylindrical dielectric substrates shown in Fig. 1. Two arbitrary number C1 and CZ of infinitesimally thin arc strips of the arbitrairy size (a1 I SI 5 P I ) and (a2 5 S2 5 ,&) are clad on the dielectric Cylindrical interfaces. The dielectric cylinders are characterized by real scalar permittivity ci and permeability po while the region outside of the dielectric cylinders is free space providing constitutive parameters eo and p o , respectively. The two conductors are charged by VI and Vz while the CO is grounded. Coupled microstrip line system are used for many applications including filters, couplers, transition adaptors, baluns, and impedance matchiing networks. These lines can also be used to excite printed antennas on cylindrical structures. The anallysis is based on finite and infinite element methods and the quasi-static T EM mode approximation. The quasistatic TEM is essentially a low frequency model of microstrip line that can be concerned the existence of electric and magnetic fields separately. The microstrip line system is analyzed with both the ordinary finite to discretize the ili bounded region and globa,l exterior infinite element to cover the s1, unbounded domain shown in Fig. 2. The potential and field distribution in the cross section of the microstrip line are determined by minimizing the energy functional of the Laplace's equation using variational principle. Then it can be used to calculate the Maxwellian capacitance or inductance matrix per unit length of the microstrip line. The parameters of the microstrip line can be determined in terms of the capacitance or inductance matrix. The equivalent circuit for the coupled microstrip lines is developed and its application to the solution of wave propagation modes is clemonstrated. In this investigations, the accurate solution of characteristic impedance, effective dielectric constant, attenuation, coupling, propagation constant, and so on has analyzed in terms of the capacitance matrix. These parameters are important in designing of microstrip lines, strip lines, and transmission lines applied in microwave integrated circuits, digital circuits, communications, radars, and other applicationa.
This paper describes an efficient reduced-order method for the analysis of cylindrical dielectric resonators with an inhomogeneous dielectric medium. The field equations are formulated using the Laplace-domain finite element method and are reduced to lower-order models using the complex frequency hopping (CFH) technique. CFH is a moment matching technique which has been used successfully in the circuit simulation area for the solution of a large set of ordinary differential equations. The proposed technique is faster than the conventional approach by one to three orders of magnitude. The results are compared with those of other numerical methods available in the literature.
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