Suppression of Propagating TE Modes in the FNAL Antiproton Source Stochastic Beam Cooling System

A method of attenuating the propagation of waveguide modes in the stochastic cooling array beam pipes to be utilized in the accumulator and debuncher rings of the Fermilab antiproton source is described. The attenuation method treated involves lining the vertical walls of the beam pipes with a ferrimagnetic material. The general solution for propagation in a nonhomogeneously loaded waveguide is presented along with numerical results specific to the antiproton source beam cooling system. Also described is a broadband, automated technique for the simultaneous measurement of complex μ and ε developed to aid in the characterization of different ferrite materials. Permittivity and permeability data for a typical ferrite is presented along with a discussion of the effects of these parameters on waveguide mode attenuation in the ferrite lined beam pipes.