Coupling of fast waves in the LHRF to non-uniform plasmas

In this work, the authors consider a slab model of the plasma in the coupling region, with a straight magnetic field and density varying only in the crossfield direction. They implement the method, wherein the full set of Maxwell's equations incorporating the dissipationless linear cold plasma dielectric tensor are integrated over the arbitrary density profile from within the plasma to the wall. The scattering matrix formalism is used to match fields in the plasma at the waveguide mouths to the waveguide fields. The authors have not decoupled the slow and fast modes, nor have they neglected any part of the excited spectrum. Their waveguide array consists of an arbitrary number of identical rectangular waveguides, and is of finite extent in both directions. They present coupling calculations for the waveguide arrays to be used on the PLT FWCD experiment and PRFTF experiments. The method is sufficiently general to model slow wave coupling as well