Distorsion of ultrashort light pulses in optical systems

Ultrashort light pulses are distorted in optical systems due to a different magnitude of the phase and group velocity of the wave. Our work is focused on the analysis of the problem. The presented work provides a theoretical analysis of the influence of the imaging optical systems on the transformation of the light pulse that propagates through such systems. It is derived the theoretical formula for calculation of the change of wave aberration of the optical system in dependence on the frequency of light passing through the optical system. New relations are described that enable to calculate the complex wave field transformed by the optical system with aberration. These relations are valid even for the systems with a large numerical aperture and are not restricted to the paraxial or the third order aberration space.