Abstract
In the present paper, we first show that the plasma injected into the interaction region forms a periodical distribution of the plasma density that is called self-induced density grating and exerts a periodic perturbation on the dielectric constant under two strong counterpropagating waves modulation. In succession, we demonstrate that the self-induced quasi periodic plasma density grating formed by the self-induced distributed feedback possesses the properties of plasma photonic crystal (PPC). Therefore, the formation of PPC by the self-induced quasi periodic plasma density grating is a feasible fabrication scenario for PPC. Based on an equivalent model of the plasma density grating, a dispersion relation is derived, and a simple case is calculated and discussed.