Electromagnetic fields of an ultra-short tightly-focused radially-polarized laser pulse

TL;DR

This paper derives fully analytic expressions for the electric and magnetic fields of an ultrashort, tightly focused radially polarized laser pulse, providing a systematic method for obtaining higher accuracy solutions.

Contribution

It introduces a systematic approach to derive analytic expressions for the fields of radially polarized laser pulses, extending previous work on linearly polarized pulses.

Findings

Analytic expressions for the fields are obtained to lowest order.

A systematic program for higher accuracy solutions is described.

The method allows both analytical and numerical calculations.

Abstract

Fully analytic expressions, for the electric and magnetic fields of an ultrashort and tightly focused laser pulse of the radially polarized category, are presented to lowest order of approximation. The fields are derived from scalar and vector potentials, along the lines of our earlier work for a similar pulse of the linearly polarized variety. A systematic program is also described from which the fields may be obtained to any desired accuracy, analytically or numerically.