Tha angular spectrum representation of vectorial laser beams

TL;DR

This paper introduces a new angular spectrum representation for vectorial laser beams using an intrinsic coordinate system, simplifying analysis and enabling the study of nonparaxial properties and applications in microresonators.

Contribution

It proposes an intrinsic coordinate system for the angular spectrum of vectorial laser beams, providing simplified expressions and analyzing nonparaxial beam properties without paraxial approximation.

Findings

Non-diffracting properties of axially symmetric vector beams demonstrated.

New expressions for the angular spectrum of Hertz vectors derived.

Method applicable to nonparaxial resonator analysis, such as microresonators.

Abstract

The angular spectrum of a vectorial laser beam is expressed in terms of an intrinsic coordinate system instead of the usual Cartesian laboratory coordinates. This switch leads to simple, elegant and new expressions such as for the angular spectrum of the Hertz vector corresponding to the electromagnetic fields. As an application of this approach, we consider axially symmetric vector beams, showing non-diffracting properties of these beams, without invoking the paraxial approximation. Further, we indicate the relevance of the method for analyzing nonparaxial resonators, such as microresonators