Title :
Computation of cutoff wavenumbers of TE and TM modes in waveguides of arbitrary cross sections using a surface integral formulation
Author :
Swaminathan, M. ; Arvas, E. ; Sarkar, T.K. ; Djordjevic, A.R.
Author_Institution :
Dept. of Electr. Eng., Syracuse Univ., NY, USA
Abstract :
A procedure is described for obtaining the cutoff wave numbers of transverse electric (TE) and transverse magnetic (TM) modes in waveguides of arbitrary cross section. A surface integral equation approach is used in which the E-field equation has been transformed into a matrix equation using the method of moments. An iterative technique is used to pick the eigenvalues of the solution matrix which corresponds to the waveguide cutoff wave numbers. The salient features of this technique are its speed, its simplicity, and the absence of any spurious modes when waveguides of arbitrary cross section are treated. The first four modes are tabulated for various waveguides, and the results are in very good agreement with published data.<>
Keywords :
integral equations; iterative methods; waveguide theory; E-field equation; TE modes; TM modes; arbitrary cross sections; cutoff wavenumbers; eigenvalues; iterative technique; matrix equation; method of moments; moments method; surface integral formulation; transverse electric; transverse magnetic; waveguides; Conductors; Finite difference methods; Hollow waveguides; Integral equations; Moment methods; Scattering; Senior members; Surface waves; Tellurium; Transmission line matrix methods;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
