By introducing dressed potential and Floquet partial wave expansion of the wave functions, the Schr?dinger equation is made separable. In case of strong laser field, the radial wave equations can be solved step by step approximately through the weak coupling method in which an appropriate perturbation term is selected. As an example, with a circularly polarized laser field, the scattering wave function, S-matrix and the cross section are obtained. Important conclusions are: multiphoton processes will appear under strong laser field; m-th multi-photon processes must be connected with a corresponding class of resonance lines with energy near m?w. The formula of line intensity is also obtained.
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