Title :
Closed-form expressions for a number of Fourier-Bessel series encountered in the GSD method (waveguide analysis)
Author :
Jöstingmeier, A. ; Rieckmann, C. ; Omar, A.S.
Author_Institution :
Inst. fuer Hochfrequenztech. Tech. Univ., Braunschweig, Germany
Abstract :
In the application of the generalized spectral-domain (GSD) method to the analysis of waveguides, infinite sums over eigenmodes have to be evaluated. The efficiency of the GSD method is considerably enhanced if these sums can be replaced by closed-form expressions. Up to now, appropriate identities are known for circular and rectangular waveguides only. Expressions associated with sector waveguides are considered.<>
Keywords :
Bessel functions; series (mathematics); waveguide theory; Fourier-Bessel series; GSD method; TE modes; TM modes; closed-form expressions; eigenmodes; generalized spectral-domain; gyrotron resonators; overmoded cavity; sector waveguides; waveguides; Closed-form solution; Electromagnetic fields; Electromagnetic waveguides; Electron beams; Equations; Gyrotrons; Magnetic fields; Power generation; Rectangular waveguides; Transmission line matrix methods;
Journal_Title :
Microwave and Guided Wave Letters, IEEE
