Abstract
The method for studying the transformation of an ultrashort pulse of a spherical wave in the vicinity of the focus was developed. It was shown that the impulse response of the circular aperture contains two components: the transmitted one “cut” by the aperture from the incident wave and the toroidal edge one. Simple algebraic relations describing the propagation process were derived and corresponding software was developed. An example of a change in the pulse shape with Gaussian envelope is given. It was shown that pulses propagating with velocity ν > c, one of which overtakes the primary wave, are formed on the system axis.
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