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The aim of this page is to define an optical system anamorphosing an elliptical beam in order to obtain a gaussian beam (said also circular beam) with a given waist radius. This optical system is made of a cylindrical lens working in the XZ plane and an afocal system made of two cylindrical lenses working in the YZ plane. The page calculates the focal length of each lens, the lenses positions but also the distance between the waists of the incident and the refracted beams as functions of the waist widths and position of the incident beam, the wavelength and the targeted waist radius (corresponding to the waist of the emerging beam).