A Theory of the Orotron with an Inclined Electron Beam

A linear and non-linear theory of the orotron with an electron beam inclined with respect to the surface of a periodic structure is presented. The beam inclination provides the possibility of the effective interaction of all particles of thick electron beam with slow evanescent harmonic of the cavity mode. On the basis of obtained analytical expression for the orotron starting current, the possibility to increase the device frequency up to 600 GHz is discussed. According to numerical simulations, the inclination of the beam allows increasing significantly both the electron efficiency and the output power of the device. The project of low-voltage orotron with the operating frequency of 100 GHz and output power of 10 W is proposed.