Excitation of Plasma Oscillations by Parametric Resonance

抄録

A typical example of parametric resonance of plasma oscillations is theoretically investigated. When the width of a plasma slab is periodically perturbed with frequency (2+ε)Ω, the plasma oscillation is exponentially enhanced with time, where Ω={1+(3⁄2)(nπa⁄l₀)²}ω₀ is the characteristic frequency of the plasma slab, ω₀ being the plasma frequency, a the Debye length, l₀ the width of the slab, n an integer, and |ε|<<1. The growth rate γ_R is given by γ_R²=(1⁄4)(σ²−ε²)ω₀², where σ=(nπa⁄l₀)²h, h being the ratio of change of width to l₀.
In a magnetic field the Bernstein mode is also excited by parametric resonance.