Multimodel variational analysis of uniaxial waveguide discontinuities

Complex Rectangular Filter Design Using Hybrid Finite Element Method and Modified Multimodal Variational Formulation

“…In our multimodal variational formulation [3], the size of the scattering matrix depends only on the number of accessible modes, which is independent from the total number of modes used; this contributes to an accurate description of the electromagnetic field near the discontinuities in form of series terms, without modifying the final scattering S matrix. Hence, reducing the size of the scattering matrix minimizes the memory storage and the computational time compared to other modal methods such us MM and GSM.…”

“…To avoid this convergence study, a Modified Multimodal Variational Formulation (MMVF) has been proposed [4] to study simple cascaded discontinuities. Instead of variational forms established at each discontinuity as in [3], a global variational form depending on a vector of electric fields including all discontinuities has been derived. Consequently, the size of the global scattering matrix depends only on the number of accessible modes in the beginning and the end of the overall structure.…”

“…Generally, when we use modal methods as in [2,3], the size of the scattering matrix depends on the total number of modes in the input and the output of the circuits. In our multimodal variational formulation [3], the size of the scattering matrix depends only on the number of accessible modes, which is independent from the total number of modes used; this contributes to an accurate description of the electromagnetic field near the discontinuities in form of series terms, without modifying the final scattering S matrix.…”

“…The modal methods such as the Mode Matching (MM) technique [1], the Generalized Scattering Matrix (GSM) analysis [2] and the Multimodal Variational Method (MVM) [3], use a modal development of electromagnetic fields on the basis of eigenmodes of constituent waveguides.…”

Analysis of Complex Discontinuities in Circular Waveguides Using Hybrid Finite Element Method and Multimodal Variational Method

“…The modal methods, such as Mode Matching (MM) technique [1], Generalized Scattering Matrix (GSM) analysis [2] and Multimodal Variational Method (MVM) [3], use a modal development of electromagnetic fields on the basis of eigenmodes of constituent waveguides. Based on the mode-matching technique, the authors of [4] proposed a procedure that makes use of the admittance matrix characterization of waveguide discontinuities.…”