Abstract
The evaluation of the cutoff wavenumbers of metallic waveguides can be related to the numerical resolution of a suitable nonlinear eigenproblem defined on the domain C described by the contour of its transverse cross section. In this work, we show that the symmetries of C can be exploited to obtain a block diagonal matrix representation of the nonlinear eigenproblem, which enables a remarkable reduction in the computational effort involved in its resolution.
Highlights
The computation of the cutoff wavenumbers of metallic waveguides is a classic problem in electromagnetic engineering [1]
Inspired by [13,19], the approach we propose exploits the symmetries of C to obtain a block diagonal matrix representation of the operator A(γ), thereby reducing the computational effort involved in the use of the procedure [11]
We consider the computation of the cutoff wavenumbers κc for the following metallic waveguides, (i) coaxial, (ii) rectangular with rounded corners, and (iii) double ridged, which are characterized by a transverse cross section with a symmetry degree described by the symmetry group C2ν
Summary
The computation of the cutoff wavenumbers of metallic waveguides is a classic problem in electromagnetic engineering [1]. An enhancement of the approach described in [11] obtained by means of group theory is presented with the aim of computing, in a fast and effective manner, the cutoff wavenumbers of metallic waveguides characterized by a symmetric transverse. For this purpose, guiding structures characterized by a symmetric transverse cross section that is invariant (i) to reflection operations about the orthogonal planes intersecting the propagation axis, and (ii) to the rotation operation of π radians around this axis, have been considered.
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