Abstract: Theoretical analysis of a vertical broadside symmetrically coupled strip line assuming TEM propagation mode is presented in the paper. The effective dielectric permittivity and characteristic impedance of the analysed strip line is determined applying the Equivalent Electrodes Method (EEM), and the results are compared with the ones obtained using the Finite Element Method (FEM). The paper shows determination of the closed-form Green's function of uniform charge per unit line length placed in an anisotropic medium between two parallel infinite grounded plates. Additionally, dielectric permittivity tensor has a diagonal form, and both, even and odd, modes are considered.
Keywords: Equivalent Electrodes Method (EEM), Separation of Variables Method (SVM), Perfect Electric Conductor (PEC), anisotropic medium, effective permittivity, Finite Element Method (FEM)
Abstract: Calculation of the interaction magnetic force between two ring permanent magnets with radial magnetization is presented in the paper. Such configuration corresponds to a radial passive magnetic bearing. The simple and fast analytical approach is used for this calculation based on magnetization charges and discretization technique. The results for interaction magnetic force obtained using proposed approach are compared with finite element method (FEM). The advantage of presented approach is its simplicity and time efficiency since only complete elliptic integrals of the second kind are used and other additional integrations are avoided in this calculation.
Keywords: Permanent magnet, interaction magnetic force, finite element method (FEM), magnetization charges, rapid calculation
Abstract: The hybrid boundary element method is applied for the calculation of the characteristic impedance of 2D microstrip lines with a finite width dielectric layer and with finite width or infinite ground planes. Even though these forms of microstrips are very typical in practice, they have not been investigated very often. The basic idea of this method is that an arbitrary shaped electrode can be replaced by equivalent electrodes, and an arbitrary shaped boundary surface between any two dielectric layers can be replaced by discrete equivalent total line charges placed in the air. The discretization technique is similar to the method…of moments and is well known. As a contribution to the boundary element method, we combine it with the equivalent electrodes method, creating in that way a new hybrid boundary element method. This method could be applied to a large variety of very complex 2D problems, regarding microstrip lines with or without symmetry. The quasi TEM analysis is applied. We compare values of characteristic impedance obtained applying our method with the corresponding ones obtained by the finite element method and values already reported in the literature. Relative error less than 0.5%, fast convergence of the results and several times shorter computation time comparing to the time required by finite element method make our method very efficient in the calculation of parameters of 2D microstrip lines.
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Keywords: Boundary element method, characteristic impedance, equivalent electrodes method, finite element method, hybrid boundary element method