Exact analytical expression for the electromagnetic field in a focused laser beam or pulse

TL;DR

This paper introduces a new class of exact, nonsingular solutions to Maxwell's equations that accurately describe the electromagnetic fields of focused laser beams and pulses, advancing theoretical understanding.

Contribution

It develops a novel modification of the complex source method to derive exact solutions for focused laser fields, which were previously unavailable.

Findings

Derived exact nonsingular solutions for focused laser beams and pulses.

Visualized and analyzed the properties of these solutions.

Enhanced theoretical modeling of laser-matter interactions.

Abstract

We present a new class of exact nonsingular solutions for the Maxwell equations in vacuum, which describe the electromagnetic field of the counterpropagating focused laser beams and the subperiod focused laser pulse. These solutions are derived by the use of a modification of the "complex source method", investigated and visualized.