Uncertainty principle for axial power content of highly focused fields

TL;DR

This paper introduces an uncertainty principle-based measure to characterize the axial power distribution in highly focused optical fields, linking beam spread and focused region size.

Contribution

It proposes a novel measure for the axial power region size based on an uncertainty principle, simplifying analysis of focused optical fields.

Findings

Provides a relationship between incident beam spread and focused region size.

Offers a new tool for analyzing on-axis intensity in focused optical systems.

Enhances understanding of power distribution in high-precision optical focusing.

Abstract

In the analysis of the on-axis intensity for a highly focused optical field it is highly desirable to deal with effective relations aimed at characterizing the field behavior in a rather simple fashion. Here, a novel and adequate measure for the size of the region where the axial power content mainly concentrates is proposed on the basis of an uncertainty principle. Accordingly, a meaningful relationship is provided for both the spread of the incident beam at the entrance of the highly focused optical system and the size of the region where the on-axis power mainly concentrates.