Among the various nonlinear effects which may occur in plasma interacting with intense short-pulse laser, the generation of spontaneous magnetic field is one of the most interesting and significant problems because the fields could have considerable influence on nonlinear plasma dynamics. The extremely high spontaneous magnetic field was observed by particle simulation in the interaction of ultraintense short laser pulse with an overdense plasma target. The generation mechanism for the spontaneous magnetic field was studied by a number of authors. In Ref.1, we discussed the spontaneous magnetic field from relativistic Vlasov-Maxwell equations and it is showed[2] that the experimental results given in Ref. 3 can be explained by our model proposed in Ref.1. In the present paper, a generalization of our early model is proposed and some simulation results are discussed.

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