Beam wakes for canonical chambers with anisotropic surface impedance

Abstract

We consider analytical expressions for beam impedance of round, rectangular, and Π-shaped waveguides with anisotropic surface impedance of arbitrary nature. The formulas are given for relativistic and nonrelativistic cases and the impedance matrix of general form. The field matching technique for layered structures with layers of uniaxial anisotropy and anisotropic impedance boundary condition at the last layer is described. The analytical methods are applied to the real structure examples with corrugations, dielectrics, and anomalous skin effects.