An intuitive approach to structuring the three polarization components of light

TL;DR

This paper introduces an intuitive framework for understanding the polarization components of tightly focused light beams using analogies from physics, providing clearer insights into their structure and behavior.

Contribution

It offers a novel interpretation of polarization components through Helmholtz decomposition and analogies, enhancing understanding of focused laser beams.

Findings

Generalized radial and azimuthal polarization states identified

Interplay between transverse and longitudinal components clarified

Illustrative examples demonstrate the approach's effectiveness

Abstract

This paper presents intuitive interpretations of tightly focused beams of light by drawing analogies to two-dimensional electrostatics, magnetostatics and fluid dynamics. We use a Helmholtz decomposition of the transverse polarization components in the transverse plane to introduce generalized radial and azimuthal polarization states. This reveals the interplay between transverse and longitudinal polarization components in a transparent fashion. Our approach yields a comprehensive understanding of tightly focused laser beams, which we illustrate through several insightful examples.