Elliptical Waveguide Filled With Plasma Dispersion Characteristics

Based on the theory of electromagnetic waves in elliptical hollow pipes of metal and the Prof.Liu's theory on the wave propagation along magnetized plasma-filled waveguide, the dissertation presents the theory of the transmission of electromagnetic in hollow conducting pipes or tubes of elliptical cross section, in completely plasma-filled elliptical waveguide and in partly filled elliptical waveguide.It's difficult to investigate the behavior of elliptical waveguide, one problem is the analysis of Mathieu function, another is manufacturing one. The results of numerical calculation of the cutoff wavelength of different successive modes are presented, the measured values of the cutoff wavelength of different modes agree very well with the theoretical calculated values. The dispersion relations of hollow and plasma-filled elliptical waveguide have been obtained. The dispersion curve of different successive modes is reported here. With the exact succession of the different modes it becomes possible to compare the bandwidth of an elliptical to the bandwidth of the rectangular and circular guide. The calculations were made by programs using VC++ to compute the Mathieu functions of the first kind and using Bessel function product series for the modified Mathieu functions of the first kind. The formulas of partly filled elliptical waveguide were derived. With these various difficulties in mind we could well ask whether, like a partly filled circular waveguide ,a partly filled elliptical waveguide is capable of supporting a balanced hybrid mode. It would probably be easier to manufacture than the corrugated waveguide and could offer th possibility of better bandwidth performance.