Depth of Field of Finite Energy Airy Shaped Waves

TL;DR

This paper analytically investigates the maximum invariance depth of finite energy Airy-type beams, including truncated versions, providing an expression that aligns well with numerical simulations.

Contribution

It introduces an analytical expression to accurately determine the maximum invariance depth of finite energy Airy beams, including truncated variants.

Findings

Analytical expression matches numerical results

Maximum invariance depth can be accurately predicted

Applicable to both exponentially dumped and truncated Airy beams

Abstract

In the present paper the analytical aspects related to the maximum invariance depth of propagation finite energy Airy-type beams are investigated, considering not only the usual exponentially dumped Airy beams but also the truncated ones. It is obtained an analytic expression which seems capable of finding accurately the maximum invariance distance of these waves. The results seem to be in line with those obtained from numerical simulations.