Abstract:

In the research of induced focusing of a beam in self-defocusing media, two-dimensional theoretical model can agree with the three-dimensional experimental results only qualitatively. The three-dimensional theoretical model that can describe the experimental phenomena quantificationally has not been reported up to now. It is discussed in the paper the transmission of two beams that lie at an angle in the three-dimensional media. Exactitude derivation of three-dimensional coupled equations is given，and it is found that the description of the beam transmission in this situation is related with the Cauchy problem of the nonlinear coupled equations and the initial conditions of the linear “chatter” phase. The simulative results based on the three-dimensional theoretical model agree with the experimental results quantificationally.

Key words: nonlinear optics, nonlinear refractive coefficient, cross-phase modulation, induced focusing, self-defocusing medium