Analytic description of Airy-type beams when truncated by finite apertures

TL;DR

This paper introduces an analytic method to describe truncated Airy-type beams using superpositions of exponentially decaying Airy beams, providing quick and accurate propagation predictions validated against existing numerical results.

Contribution

The paper presents a novel analytic approach for modeling finite aperture truncated Airy-type beams, simplifying analysis and computation compared to numerical methods.

Findings

Analytic solutions match published numerical results

Method successfully applied to ideal Airy, Airy-Gauss, and Airy-Exponential beams

Provides quick evaluation of beam propagation characteristics

Abstract

In this paper, we have developed an analytic method for describing Airy-Type beams truncated by finite apertures. This new approach is based on suitable superposition of exponentially decaying Airy beams. Regarding both theoretical and numerical aspects, the results here shown are interesting because they have been quickly evaluated through a simple analytic solution, whose characteristics of propagation has agreed with those already published in literature through the use of numerical methods. To demonstrate the method's potentiality, three different truncated beams have been analyzed: ideal Airy, Airy-Gauss and Airy-Exponential.