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

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.

Experimental optical trapping of microparticles with an Airy beams array using a Holographic Optical Tweezer

“…This result reveals that the Airy beams conserve your properties when it passed through an optical system but the characteristic parameters as dimensions of the transverse intensity pattern, the characteristic length and curvature (deflection) of the Airy beam can be modified [24].…”

“…For a set of N rotated AiBs, the Eqs. (6) became s jx = (x cos θ j − y sin θ j + Aδx)/w 0 y s jy = (x sin θ j + y cos θ j + Aδy)/w 0 [24].…”

“…In addition, it's possible to obtain greater stability for optical trap using an Airy beams array, with interesting possibilities for trapping and guiding of microparticles in a controllable way that can be applied in optical, biological and atmospheric sciences.Particularly, the Airy beams (AiBs) has attracted great interest recently in optical tweezers, for trapping and guiding of micro and nano-particles [16,17,18,19,20,21], due to their unusual features such as the ability to remain diffraction-free over long distances while they tend to freely accelerate during propagation [10,11,12]. An important parameter in the dynamic propagation is the initial launch angle which can be used to obtain optimal control of the ballistic trajectory [22,23,24]. Recently, several authors have addressed the propagation properties of AiBs to study of circular Airy 1…”

Beam Shaping by a Magnetic Fluid Deformable Mirror With Curved Trajectory for Optical Tweezer System

“…The finite pixel resolution and dynamic range of the LC-SLM limits beam quality. Due to the potential damage caused by heating, the liquid crystalbased SLMs place a strict limit on the power of the illuminating beam, which can be an important constraint for applications that require high laser powers [16]. The interactuator stroke of the solid deformable mirrors limits the maximum amplitude and gradients of a higher-order surface shape.…”

Possibilities to generation of optical non-diffracting beams by holographic metasurfaces using surface impedance

“…On the other hand, non-diffracting waves are beams and pulses that keep their intensity spatial shape during propagation [29,30,31,32,33,34,35,36,37,38,39,40,41,42,43]. Pure non-diffracting waves include Bessel beams, Mathieus beams, Parabolic beams, and others; as well as the superposition of these waves can produce very special diffraction-resistant beams, such as the Frozen Waves.…”