Contents
1 Introduction
2 Linear wave theory in an infinite uniform plasma
 2.1 Maxwell’s equations
 2.2 Constitutive relation
 2.3 Fourier transform
 2.4 Linear wave equation
 2.5 Dispersion relation
 2.6 Weak damping approximation
3 Ray tracing in a slowly varying plasma
 3.1 WKB Approximation
 3.2 Ray equations
4 Canonical coordinates in an axisymmetric toroidal plasma
 4.1 Flux coordinate system
 4.2 Ray equations
 4.3 Parallel index of refraction
 4.4 Perpendicular index of refraction
 4.5 Derivatives
 4.6 Specular reflection at the plasma edge
 4.7 Inward propagating ray
5 Numerical algorithms
 5.1 Magnetic equilibrium interpolation
 5.2 Runge-Kutta differential equation solver
6 Conclusion
A Explicit expressions
 A.1 Dispersion relation
 A.2 Derivatives of the equilibrium
B Various properties of the coordinates system
 B.1 Alternative calculation of the parallel index of refraction
 B.2 Calculation of k_ρ, m and/or n as a function of k_∥ and k_⊥
 B.3 Calculation of k_ρ, m and n as a function of k_R, k_Z and k_ϕ
 B.4 Wave scattering by fluctuations
 B.5 Calculation of ∥∇ρ∥
C Susceptibility tensor and dispersion relation
 C.1 Cold plasma model
D Kinetic plasma model
E Benchmarking of C3PO
 E.1 JET-like plasma
 E.2 VERSATOR II and PLT plasmas
 E.3 Propagation in toroidal vacuum device
 E.4 Reverse field pinch plasma
References