In ultra-short laser pulses, small changes in dispersion properties before the final focusing mirror can lead to severe pulse distortions around the focus and therefore to very different pulse properties at the point of laser-matter interaction yielding unexpected interaction results. For a focused Gaussian laser pulse under the influence of angular, spatial, and group delay dispersion, we derive analytical expressions for its pulse-front tilt, duration, and width from a fully analytic expression for its electric field in time-space domain obtained with scalar diffraction theory. This expression is not only valid in and near the focus but along the entire propagation distance from the focusing mirror to the focus. It is shown in example setups that pulse-front tilts of lasers with small initial dispersion can become several ten degrees large in the vicinity of the focus while being small directly in the focus.