Several novel shaped cathodes for a relativistic magnetron were modeled and optimized using a massively parallel electromagnetic particle-in-cell code ICEPIC. The effect of using a shaped cathode to enhance key performance parameters such as output power, power efficiency and impedance, was examined. In simulations we saw a dramatic increase in the range of magnetic field in which the magnetron functions, an increase of output power, an increase in efficiency, an elimination of mode competition, and immediate start up.
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