Effect of dust particle on dusty plasma's dispersion characteristic

In this paper, the effect of dust particle on dusty plasma's dispersion characteristic is studied under two possible conditions. Firstly, based on the known complex refractive index formula, the dispersion ability of the real and imaginary parts are determined. Then, the dispersion ability of the dusty plasma under two different conditions is discussed, according to the neutral conditions between particles in dusty plasma. The research results show that: (1) The magnitude of dispersion ability decreases significantly with the incident electromagnetic wave's angular frequency increases; (2) The value of the dispersion ability under condition 1 is much smaller than the dispersion ability under condition 2. Finally, it is pointed that the dispersion ability difference between dusty and common plasma can be mainly attributed to the dust particle, and the effect of dust particle radius and number density on the dispersion ability of dusty plasma is similar.