Propagation of Airy beams with ballistic trajectory passing through the Fourier transformation system

TL;DR

This paper investigates the theoretical and experimental propagation of Airy beams through a Fourier system with convex lenses, revealing how focal distances influence their evolution and potential applications.

Contribution

It introduces a matrix optical model for Airy beams passing through convex lenses and experimentally demonstrates their behavior in a 4f Fourier system, highlighting new control possibilities.

Findings

Airy beam propagation depends on lens focal distances.

Experimental results align with theoretical predictions.

Potential applications in optical tweezers and communications.

Abstract

In this work, we present the theoretical and experimental study of the propagation of Airy beams when passing through two convex lenses with different focal distances. The theoretical analysis is presented from a matrix optical model for an Airy beam. The experimental results are obtained in a holographic setup for experimental generation of Airy beams based on the holographic reconstruction system of computer generated holograms (CGH) implemented electronically in a spatial light modulator (SLM) and a 4f Fourier transformation system. These are in agreement with the theoretical prediction. The novelty of this work went to show the evolution of the Airy beam propagation for different convex lenses in a 4f system and its dependence on focal distances. These are important for the control and manipulation of Airy beams; and, they show new possibilities of applications of the Airy beams in optical tweezers, optical communications and optical guidance.