Abstract
This paper proposes a new gyro-peniotron with large-orbit relativistic E-beam in a coaxial waveguide, where the E-beam is focused by both radial electrostatic field and axial magnetostatic field. A linear theory of a 3-D model is presented to describe the device. Numerical analysis is carried out. It is found that a proper proportion of the radial and axial focusing fields makes the growth rate greater, and the electron's axial displacement as well as the axial perturbation forces should be taken into account unless the E-beam is focused only by axial magneto static field. As a special example, a centrifugal electrostatic focusing gyro-peniotron is also discussed.