Consider the propagation of high-frequency waves in a solid-state plasma with equal number of electrons and holes (considering m_e = m_h and ν_e = ν_h), immersed in a magnetostatic field B₀. Let k = kx̂ and

Use the Langevin equation for the electrons and for the holes, together with Maxwell equations, to show that

where

From these component equations derive the following dispersion relations:

Obtain expressions for the reflection points and the resonances. In particular, for the collisionless case (U = 1) show that the conditions for resonance are

and the reflection points are given by

Transcribed Image Text:

Bo Bo( cos x + sin 0 y). =