Determination of the TE and TM modes in arbitrarily shaped waveguides using a hypersingular boundary element formulation

Computation of the Cutoff Wavenumbers of Metallic Waveguides with Symmetries by Using a Nonlinear Eigenproblem Formulation: A Group Theoretical Approach

“…All the numerical computations are performed on an Intel Xeon DP E5405 Quad Core 2.0 workstation with 20 GB of main memory. Numerical results for the cutoff wavenumbers for the TE and TM modes are obtained and compared with those published in the literature [5,25,26]. The values of the parameters r min , r max , and τ employed in the numerical computations are 6, 11, and 10 −3 , respectively.…”

“…It is well known that the knowledge of these parameters plays a paramount role in the design of a significant number of microwave and millimetre waves devices as power combiners, transducers, T-junctions, and mode transformers [2]. In recent decades, renewed interest in the subject, mainly focused on the treatment of guiding structures with an arbitrarily shaped transverse cross section, has been shown by researchers, and several numerical procedures have been proposed for the evaluation, for example, [3][4][5] and the references within. In [6], it was demonstrated that these parameters coincide with the eigenvalues γ of a suitable nonlinear eigenproblem of the form [7] A(γ) f = 0, (…”

“…Symmetric waveguides considered in the present work: (Top) coaxial waveguide (r = 1 cm, a = 0.5 cm, b = 0.25 cm,[5]), (Middle) rectangular waveguide with rounded corners (a = 0.1 cm, b = 0.2 cm,[25]), (Bottom); double-ridged waveguide (a = 1.27 cm, b = 1.016 cm, c = 0.508 cm, d = 0.3683 cm,[26]). …”