For an unbounded homogeneous electron gas, characterized by the following velocity distribution function,

where a₀ is a constant, show that the dispersion relation for the right circularly polarized wave, propagating along the magnetostatic field B₀ = B₀ẑ, is given by

From this result show that the cyclotron damping coefficient is given approximately by

Transcribed Image Text:

1 ao fo(v) = no 2 (² + a²)²