ICRH modelling of DTT plasma scenario by 1D semi-analytical model

An in-depth study of the Ion Cyclotron (IC) wave equation, which perturbatively includes the anti-Hermitian component of the dielectric tensor, was conducted after a thorough evaluation of the Hermitian and anti-Hermitian parts of the dielectric tensor [1]. This analysis was done in the context of cold, warm (first-order Larmor Radius Approximation 𝑘⊥𝜌𝑖 << 1 (FLRA)), and hot plasma (all orders in𝑘⊥𝜌𝑖). An ordinary differential equation in Cartesian geometry (slab) was derived in the complex parameter domain. By making further simplifying assumptions about the spatial dependence of density and magnetic field (e.g. DTT minority heating scenario[2]), and considering that the anti-Hermitian part is small compared to the Hermitian one, three types of second-order ordinary differential equations for the electromagnetic field were obtained and analytically solved: i) Homogeneous, ii) Airy, and iii) Weber equations. In this work, the three analytical forms were analysed, validating one case with the full wave electromagnetic simulator COMSOL Multiphysics.