Plural interactions of space charge wave harmonics during the development of two-stream instability

Kulish Victor^a), Lysenko Alexander†^b), Rombovsky Michael^b), Koval Vitaliy^b), Volk Iurii^b)

Dependence of SCW harmonic amplitude E _m on harmonic number m at (a) z = 50 cm, (b) z = 90 cm, and (c) z = 100 cm. At the entrance ( z = 0), the amplitude of the first harmonic is 10 V/cm, other harmonics are absent. The frequency of the first harmonic is ω ₁ = 3.2 · 10¹¹ s⁻¹, ω _min is the frequency corresponding to the first spectral minimum. Calculations were performed with the same parameters as those in Fig. 1 .