SEMISPHERICAL MODEL OF A STREAMER HEAD

A simple and clear model of a streamer head is proposed. By analytical ly solving the simplest equations, approximate formulas for the stream er velocity and the density of the plasma arising behind the streamer head are obtained within this model. These formulas can be used to ana lyze experiments and to verify the results of streamer simulations. Th e distributions of the electron density, space charge, and electric fi eld in the ionization wave, which are determined by the numerical inte gration of the model equations, are presented. Numerical results confi rm the applicability of the proposed formulas.