Recent progress in models for electron cyclotron current drive

The recent progress in electron cyclotron current drive calculations with the adjoint technique is reviewed. The main attention is focused on such points as parallel momentum conservation in the like-particle collisions and the relativistic effects which are especially important for high-temperature plasmas. For moderate-temperature plasmas, also the finite collisionality effects become to be important. The effectiveness and accuracy of the developed numerical models are demonstrated by ray-tracing calculations.