A Method of Solution of the Transport Equation in Toroidal Geometry

The transport equation is considered in toroidal geometry using an expansion of Ψ(r, Ω) in unnormalized spherical harmonics, i.e., with being associated Legendre polynomials. The variable r is the position vector and Ω the direction with axial and azimuthal angles θ and , respectively. Equations for ψ_lm(r) and γ_lm(r) are obtained and a method of solution that has worked in other geometries is outlined.