ICRF action transfer from magnetosonic to ion Bernstein wave

Many researchers have concerned themselves with the calculation of the wave action transfer coefficients of the ICRH problem. In most cases the calculations have involved numerical integration of differential equations. The authors have been working toward a completely analytic derivation of these coefficients. In their slab model, they consider a ray-phase-space (x,kx) point of view, in which action is converted from an incident magnetosonic wave to a continuum of minority-ion-current waves indexed by uparallel. These waves propagate primarily in kx-space and coherently emit the reflected magnetosonic wave as they cross its dispersion surface. As they continue to propagate in kx-space, they leave the region of conversion with the magnetosonic wave and enter a region where an extraction process occurs. In this region, the minority-current waves may be expressed as a superposition of gyroresonant ballistic waves and a single collective ion-Bernstein wave. The gyroresonant ballistic waves propagate only in kx-space, while the ion-Bernstein wave propagates in both kx-space and x-space. They extract it from the continuum of gyroresonant ballistic waves by applying the method of Bateman ampersand Kruskal. They are generalizing this analytic method to the more realistic 2D model of axisymmetric tokamak geometry, in which action transfer and wave propagation occur in a four-dimensional ray phase space. 3 refs