Abstract
Abstract The paper proposes a method for S-matrix generalization to minimize discontinuities between one-axis rectangular guides in terms of reflection and transmission coefficients. We modelate successfully rectangular metal waveguide filters with geometrical and physical discontinuities, and a succession of heterogeneous media such periodic structure and containing Meta materials are presented. Method of S-matrix generalization based on modal development operating by breaking down electromagnetic fields on orthonormal basis for each formed discontinuity. Proposed hybrid method that reference to finite element method incorporation is discussed. We conclude that the Galerkin method application leads directly to the matrix of junction diffraction.
Highlights
In the purpose to determine the matrix dispersion and to characterize the waveguide discontinuity (Green & Sandy, 1974), we study the modal coupling method (MCM) by fields decomposition modal, in this context few applications in rectangular guide are provided
We are able to analyze a complex discontinuity; our hybrid method finite element method (FEM)-use to save more than 95% of the computing time over the EMF-based simulation HFSS tools to have the same precision
We modelate filters which guides to physical junctions that assure by media discontinuities and use of MCM associated to generalized S-matrix (GSM) technique, which is analyzed by details
Summary
In the purpose to determine the matrix dispersion and to characterize the waveguide discontinuity (Green & Sandy, 1974), we study the modal coupling method (MCM) by fields decomposition modal, in this context few applications in rectangular guide are provided. 2. Complex discontinuities filters study case By using a typical methods, the size of the dispersion matrix depends on the total number of modes at the entrance and the exit of the circuit. To avoid this study of convergence and reduce the computation time, a new formulation of the new multi-modal variational method (NMMVM) has been proposed In this new formulation, all modes which are recommended in the inter-mediate guides are taken into account, that improves the accuracy of the analysis. Matrix dispersion of the complete circuit is obtained by minimizing the expression (25) by Bpi. The size of the basic functions depends on only the number or edges in the discontinuity, which is different from the number of modes.
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