Vectorial edge finite elements applied to deterministic and eigenvalue problems for the analysis of microwave circuits.

Title: Vectorial edge finite elements applied to deterministic and eigenvalue problems for the analysis of microwave circuits.
Authors: Venkatachalam, Rajagopalan.
Date: 1993
Abstract: New and efficient modelling concepts and procedures based on Tangential Vectorial Finite Element method has been developed for the analysis of generalized microwave and millimeter-wave structures. A two-dimensional formulation using the Edge finite element method has been developed to determine the electromagnetic field distributions of transmission media of rectangular cross-section and eddy-current problem when the tangential E-field has been known or the tangential H-field has been forced, on the conductive boundaries. The formulation has been developed using the E-field or the H-field and making use of the edge variables in the transversal plane and the node variables in the longitudinal plane, in order to yield a Boundary Value Problem with integral equations. The region of interest has been discretized using six-node triangles, where the end points of the triangles has been used to compute the axial components whereas the midpoints along each sides has been used to find the tangential components, and the field functions has been defined using linear vector shape functions. The frequency domain FEM program has been validated by analyzing simplified geometries and comparing them with analytical or previously published results. The algorithm, which has its own simple mesh generator, has been proved to have a convergent solution and used to analyze microwave structures. The eigenvalue problems have been solved directly for the propagation constants making use of reliable subroutines from the EISPACK library, and the deterministic problems directly for the field distributions. The structures studied include ordinary shielded microstrip and a dielectric-loaded waveguide. Conclusions has been drawn on the feasibility of using this accurate edge element method for interesting applications in high speed interconnections, using higher order elements and in three dimensions.
CollectionTh├Ęses, 1910 - 2010 // Theses, 1910 - 2010
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