The theory of mode conversion and wave damping near the ion cyclotron frequency

TLDR

A variational approach yields coupled equations describing mode conversion near the ion cyclotron frequency, truncated to first order in Larmor radius and incorporating explicit gradients and a poloidal field. The derived equations provide a conservation law and an explicit differential expression for wave damping, whose scaling is analyzed and implications for RF heating on the Princeton Large Torus are discussed.

Abstract

Using a variational technique, a set of coupled model equations for the mode conversion process near the ion cyclotron frequency is derived. The system is truncated to first order in Larmor radius but includes the effects of explicit gradients and a poloidal field. From the equations a conservation rule is extracted which ensures conservation of total energy and provides an explicit expression for the wave damping in differential form. The equations are integrated numerically for the standard cases of fast waves incident from either the low- or high-field sides of the mode conversion layer. The scaling of the damping processes is discussed and implications for current RF heating experiments on the Princeton Large Torus are drawn.