The modeling of a Gaussian beam focused by a lens in air is presented assuming its waist is located at the lens. We study the nonlinear focal shift for ultraintense light beams where the Kerr effect is unavoidable. The modeling assumes that the propagation of the beam through the lens is linear and that the Kerr effect only becomes evident near the focal region of the lens. We will show that this approximation is valid for thin focusing lenses with a Fresnel number Nω > 8.17 and a truncation parameter α > 12.76. Under this approximation, we show that for input powers below the critical power, there is a shift of the focal point and that the nonlinear focal point moves further away from the lens as the input power increases.
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