Mechanical Faraday effect for orbital angular momentum-carrying beams

Wisniewski-Barker, Emma; Gibson, Graham M.; Franke‐Arnold, Sonja; Boyd, Robert W.; Padgett, Miles J.

doi:10.1364/oe.22.011690

Cited by 18 publications

(9 citation statements)

References 24 publications

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“…In isotropic media, mechanical rotation has been postulated (Padgett et al 2006; Götte, Barnett & Padgett 2007; Leach et al 2008) and then demonstrated experimentally (Franke-Arnold et al 2011) to lead to image rotation. This phenomenon, analogously to the polarisation rotation that stems from a phase shift between right- and left-circularly polarised modes, results from a mechanically induced phase shift between the positive and negative OAM-carrying modes (Wisniewski-Barker et al 2014). Image rotation has hence been coined as the mechanical Faraday effect for OAM-carrying beams.…”

Section: Introductionmentioning

confidence: 98%

Faraday–Fresnel rotation and splitting of orbital angular momentum carrying waves in a rotating plasma

Rax

Gueroult

2021

J. Plasma Phys.

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Rotational Fresnel drag – or orbital Faraday rotation – in a rotating magnetised plasma is uncovered and studied analytically for Trivelpiece–Gould and whistler–helicon waves carrying orbital angular momentum (OAM). Plasma rotation is shown to introduce a non-zero phase shift between OAM-carrying eigenmodes with opposite helicities, similarly to the phase shift between spin angular momentum eigenmodes associated with the classical Faraday effect in a magnetised plasma at rest. By examining the dispersion relation for these two low-frequency modes in a Brillouin rotating plasma, this Faraday–Fresnel rotation effect is traced back to the combined effects of Doppler shift, centrifugal forces and Coriolis forces. In addition, the longitudinal group velocity in the presence of rotation is shown to depend both on rotation and azimuthal mode, therefore predicting the Faraday–Fresnel splitting of the envelope of a wave packet containing a superposition of OAM-carrying eigenmodes with opposite helicities.

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Section: Introductionmentioning

confidence: 98%

Faraday–Fresnel rotation and splitting of orbital angular momentum carrying waves in a rotating plasma

Rax

Gueroult

2021

J. Plasma Phys.

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“…Our work shows that beyond this, rotation of the medium may lead to a breaking of the macroscopic parity-time symmetry of the interaction that results in amplification of the optical beam at the expense of the medium rotation. Observing this amplification would not only be of importance for our understanding of fundamental phenomena but could lead to applications in quantum processing (through amplification of quantum vacuum states) with potential extensions also to plasmonics [34] or slow light systems that may further enhance the interaction [35,36].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Zel’dovich Effect: Parametric Amplification from Medium Rotation

Faccio

Wright

2017

Phys. Rev. Lett.

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The interaction of light with rotating media has attracted recent interest for both fundamental and applied studies including rotational Doppler shift measurements. It is also possible to obtain amplification through the scattering of light with orbital angular momentum from a rotating and absorbing cylinder, as proposed by Zel'dovich more than forty years ago. This amplification mechanism has never been observed experimentally yet has connections to other fields such as Penrose superradiance in rotating black holes. Here we propose a nonlinear optics system whereby incident light carrying orbital angular momentum drives parametric interaction in a rotating medium. The crystal rotation is shown to take the phase-mismatched parametric interaction with negligible energy exchange at zero rotation to amplification for sufficiently large rotation rates. The amplification is shown to result from breaking of anti-PT symmetry induced by the medium rotation.

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“…Of particular interest recently has been the exploitation of enhanced light-matter interaction associated with slow light propagation for applications in gyroscopic or rotating systems and gyrotropic/magnetic systems, especially in magnetophotonic crystals that have spin-dependent photonic bandgap structure and localized modes of light with magnetic tunability [39,40]. For instance, slow-light enhanced light-matter interactions have been proposed for increasing the sensitivity of optical gyroscopes [52,73,64,84,71], enhancing rotary photon drag and image rotation based on a mechanical analog of the magnetic Faraday effect [24,60,62,33,90,91], and enhancing magneto-optical (MO) effects, such as Faraday or Kerr rotation [97,96,6,38,86], which are important in applications using optical isolators, circulators, or other nonreciprocal devices [97,66,23,30,53,54]. For instance, the enhancement of MO effects in multilayered structures such as one-dimensional magnetic photonic crystals (see [86]) has been attributed to: (i) the localization of light near a defect and to those defect states (guided modes) with a high Q-factor (quality factor) associated with resonant transmission anomalies [41,42,83,81,82,39]; (ii) the enhanced light-matter interaction of slow light due to the low group velocity increasing interaction time [96,6]; (iii) the Borrmann effect in photonic crystals, specifically relating to the frequency-dependent field redistribution and enhancement inside a photonic crystal unit cell [34,20,…”

Section: Overview Of Applications Of Slow Lightmentioning

confidence: 99%

Pathological scattering by a defect in a slow-light periodic layered medium

Shipman

Welters

2016

Journal of Mathematical Physics

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Scattering of electromagnetic fields by a defect layer embedded in a slow-light periodically layered ambient medium exhibits phenomena markedly different from typical scattering problems. In a slow-light periodic medium, constructed by Figotin and Vitebskiy, the energy velocity of a propagating mode in one direction slows to zero, creating a "frozen mode" at a single frequency within a pass band, where the dispersion relation possesses a flat inflection point. The slow-light regime is characterized by a 3×3 Jordan block of the log of the 4×4 monodromy matrix for EM fields in a periodic medium at special frequency and parallel wavevector. The scattering problem breaks down as the 2D rightward and leftward mode spaces intersect in the frozen mode and therefore span only a 3D subspaceV of the 4D space of EM fields.Analysis of pathological scattering near the slow-light frequency and wavevector is based on the interaction between the flux-unitary transfer matrix T across the defect layer and the projections to the rightward and leftward spaces, which blow up as Laurent-Puiseux series. Two distinct cases emerge: the generic, non-resonant case when T does not mapV to itself and the quadratically growing mode is excited; and the resonant case, whenV is invariant under T and a guided frozen mode is resonantly excited.

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Mechanical Faraday effect for orbital angular momentum-carrying beams

Cited by 18 publications

References 24 publications

Faraday–Fresnel rotation and splitting of orbital angular momentum carrying waves in a rotating plasma

Faraday–Fresnel rotation and splitting of orbital angular momentum carrying waves in a rotating plasma

Nonlinear Zel’dovich Effect: Parametric Amplification from Medium Rotation

Pathological scattering by a defect in a slow-light periodic layered medium

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