Scattering of electromagnetic radiation by dust induced plasma fluctuations (generalized theory for dust diagnostics)

General theory electromagnetic wave scattering in dusty plasmas is developed. It is found that dust grains change both the electron and ion fluctuations via effective ion-dust and electron-dust absorption and scattering that can be detected by broadening of the scattering resonances. As compared to the Doppler exponential broadening the dust broadening is described by a power law and the scattering becomes substantial at frequency differences of the incidental and the scattered waves larger then the Doppler width. This can be used for diagnostic of dust. Large angle and small angle scattering of ions by dust grains is evaluated using a simple analytical model for large angle scattering. Both spontaneous scattering and stimulated scattering are investigated. Astrophysical applications are related with modification of Sunyaev-Zeldovich effect. Possible dust diagnostics using electromagnetic wave scattering in edge regions of fusion devices is discussed.