Fig. 10: Example of the complex dispersion relation ω(k).
From: Decoupling of dust cloud and embedding plasma for high electron depletion in nanodusty plasmas

Example of the solution of the dispersion relation Eq. (9) for typical conditions in our experiment. The real part gives the wave frequency and the imaginary part the growth rate of the dust density wave for each specific wavenumber k. For the solution the growth rate is maximal at (km, ωm).