Floquet's theorem in three dimensions and its application to the dispersion characteristics of circular waveguides with screw periodicity for use with gyrotron backward-wave oscillators |
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| Authors: | W N Cain and R W Grow |
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| Institution: | (1) Microwave Device and Physical Electronics Laboratory Department of Electrical Engineering, University of Utah, 84112 Salt Lake City, Utah |
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| Abstract: | Floquet's theorem for three dimensions is proved for each of the two mathematical conditions of periodicity: the differential equation and the boundary condition. The theorem applied to circular waveguides with screw periodicity provides the dispersion characteristics of the uncoupled modes. These characteristics are compared to those of a normal circular waveguide to show how screw periodic RF structures shift in phase the waveguide cutoff point and how such a shift is advantageous to gyrotron backward-wave oscillators. |
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