Longitudinal patterning of twisted light

Abstract

Light beams with azimuthal phase dependence [$exp(i\ell \varphi )$] carry orbital angular momentum (OAM) which differs fundamentally from spin angular momentum (SAM) associated with polarization. Striking difference between the two momenta is manifested in the allowable values: where SAM is limited to $\hslash k_0$ per photon, the OAM has unbounded value of $\ell \hslash$ per photon ($\ell$ is integer), thus dramatically exceeding the value of SAM \cite{Ref1,Ref2, Ref3}. OAM has thus been utilized in optical trapping \cite{Ref4}, imaging\cite{Ref2}, and material processing \cite{Ref5}. Furthermore, the unbounded degrees-of-freedom in OAM states have been deployed in data communications \cite{Ref6}. Here, we report an \textit{exceptional} behavior for a class of light beams---known as Frozen Waves (FWs)---whose intensity and azimuthal phase profiles can be controlled along the propagation direction, at will. Accordingly, we generate rotating light patterns that can change their sense of rotation and order of phase twist with propagation. Manipulating OAM along the beam axis can open new directions in optical science and its applications.

arXiv comment16 Pages, 5 Figures, Journal paper

References in corpus (5)

• Management of the Angular Momentum of Light: Preparation of Photons in Multidimensional Vector States of Angular
• Frozen Waves: Stationary optical wavefields with arbitrary longitudinal shape, by superposing equal-frequency Bessel beams
• Theory of Frozen Waves
• Diffraction-Attenuation Resistant Beams in Absorbing Media
• Modelling the spatial shape of nondiffracting beams: Experimental generation of Frozen Waves via computer generated holograms

Cited by in corpus (8)

• Dynamic Spatiotemporal Beams that Combine Two Independent and Controllable Orbital-Angular-Momenta Using Multiple Optical-Frequency-Comb Lines
• Evolution of orbital angular momentum in three-dimensional structured light
• Arbitrary control of the polarization and intensity profiles of diffraction-attenuation-resistant beams along their propagation direction
• Shaping the topology of light with a moving Rabi-oscillating vortex
• Structured Light by linking together diffraction-resistant spatially shaped beams: "LEGO-BEAMS"
• A simple algorithm for the design of accelerating Bessel beams with adjustable features along their propagation
• Frozen spatial coherence
• Fusion Between Frozen-Wave-Type Beams and Airy-Type Pulses: Diffraction-Dispersion-Attenuation Resistant Vortex Pulses in Absorbing Media