In the present paper, by using optical mixing and self-focusing theory, the resonant self-focusing effect of two parallelly propagating laser beams with frequency difference equal to the plasma oscillation frequency in a homogeneous plasma is studied theoretically. The nonlinear dielectric constant and the threshold power for resonant self-focusing are derived analytically. The scaling laws of the threshold power with respect to laser-plasma parameters are discussed and compared with that of usual ponderomotive self-focusing. Finally, the effect of the deviation from frequency matching condition on the threshold power is also studied.
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