Analytical fields of ultrashort radially polarized laser beams with spatial chirp

Abstract

We find the analytical electromagnetic fields, both paraxial and with non-paraxial corrections, of an ultrashort radially polarized pulse-beam that has spatial chirp. This represents a powerful description of light that has a combination of both vector polarization and space-time structure, and it results in a novel evolution of the fields. The non-paraxial corrections allow for the application of the field solutions to tightly focused scenarios, whereby we can validate our solution via charged particle trajectories under the influence of such a pulse with high field strength.