Abstract
The propagation of wide Gaussian-type light beams is analysed by means of angle-spectrum representation. It is shown that wave equations can be split into equations for amplitudes and angle-spectrum parameters. Furthermore, the equations for angle-spectrum parameters, separated from those for amplitudes, prove to be linear. This allows one to consider beam propagation, including diffraction effects and the multi-harmonic regime in a quadratic medium. In the framework of this approach, the evolution of the spectrum parameters reflects the focusing (de-focusing) character of beam propagation. By taking diffraction into consideration we are able to avoid the problems associated with a point-type focus. A canonical example is considered for comparison of the present approach with existing models.
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