Constriction of the caustic under conditions of resonant self-focusing with weak saturation of the nonlinearity

An analysis is made of the dependences of the transverse and longitudinal dimensions of the constriction at the caustic on the resonance detuning under conditions of resonant selffocusing of high-intensity radiation. A V-shaped dependence is obtained for both caustic dimensions. This behavior of the caustic dimensions near resonance may influence strongly the experimentally observed frequency dependences of high-order nonlinear processes.