The problems of Alfven and ion cyclotron heating in axicymmetrical mirrors are addressed.

For the Alfven resonance heating scheme, the properties of continuum waves and kinetic (modified) Alfven waves are considered. The numerical modeling and experimental results for Alfven resonance heating with triple loop antenna are discussed.

The specific features of magnetic beach ion cyclotron heating scenario in axisymmetric mirror are considered from the point of view of propagation condition and accessibility of the fast Alfven wave for excitation with external currents. The magnetic beach for continuum Alfven wave is analyzed. Using ray tracing calculations, the significant cyclotron damping of kinetic Alfven wave is predicted for the magnetic beach case.

For fast magnetosonic wave cyclotron heating, the mechanisms of wave energy damping are described. The structure of global resonances is discussed. Heating scenarios with single global resonance and resonance overlapping are compared.

The applicability of the scenarios mentioned for mirror based neutron source is addressed.