The theory of the harmonically resonant cavity with a self-excited multiple frequency field

Abstract

Usually a harmonically resonant cavity is excited by two different wavelength microwave power sources [C.E. Hess, H.A. Schwettman and T.I. Smith, IEEE Trans. Nucl. Sci. NS-32 (1985) 2924]. According to the theory of interaction of the beam with the cavity [P.B. Wilson, AIP Conf. Proc. no. 87 (1982) 450], we found that there is the possibility to excite the harmonically resonant cavity with only the fundamental frequency, and the harmonic frequency electric field will be produced by the beam itself. In this article the formulae for satisfying the condition of the harmonically resonant cavity with self-excited multiple frequency field are given.