Frame dragging with optical vortices

Strohaber, James

doi:10.1007/s10714-013-1596-8

Cited by 13 publications

(36 citation statements)

References 22 publications

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“…This is in contrast to the deflection that one obtains from a rod of matter boosted to a speed close to the speed of light. Therefore, we conclude that focused light does not simply behave like massive matter moving with the reduced velocity identified in [27,35]. This is due to the divergence of the laser beam along the beamline which leads to additional contributions to the metric perturbations which do not appear in the case of the boosted rod.…”

Section: Resultsmentioning

confidence: 85%

The gravitational field of a laser beam beyond the short wavelength approximation

Schneiter

Rätzel

Braun

2018

Class. Quantum Grav.

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Light carries energy, and therefore, it is the source of a gravitational field. The gravitational field of a beam of light in the short wavelength approximation has been studied by several authors. In this article, we consider light of finite wavelengths by describing a laser beam as a solution of Maxwell's equations and taking diffraction into account.Then, novel features of the gravitational field of a laser beam become apparent, such as frame-dragging due to its spin angular momentum and the deflection of parallel co-propagating test beams that overlap with the source beam.Even though the effects are too small to be detected with current technology, they are of conceptual interest, revealing the gravitational properties of light.

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Section: Resultsmentioning

confidence: 85%

The gravitational field of a laser beam beyond the short wavelength approximation

Schneiter

Rätzel

Braun

2018

Class. Quantum Grav.

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“…In nonlinear optics, the polarizability can generally be expanded as a power series in the electric field (1) (…”

Section: Even Laguerre Gaussian Modesmentioning

confidence: 99%

“…Optical beam modes are transverse eigensolutions of the paraxial wave equation (PWE) of electrodynamics [1]. The modes hold for beams that are well collimated such that the curvature in the propagation direction can be neglected.…”

Section: Introductionmentioning

confidence: 99%

“…The modes hold for beams that are well collimated such that the curvature in the propagation direction can be neglected. Three families of solutions have been found by separation of variables and take on the geometry of their respective coordinate system such as Cartesian, cylindrical and elliptical polar coordinates [1,2]. The fundamental mode in all three families is the commonly encountered Gaussian beam produced by many laser systems.…”

Section: Introductionmentioning

confidence: 99%

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Cascade Raman sideband generation and orbital angular momentum relations for paraxial beam modes

Strohaber¹,

Abul²,

Richardson³

et al. 2015

Opt. Express

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In this work, the nonlinear parametric interaction of optical radiation in various transverse modes in a Raman-active medium is investigated both experimentally and theoretically. Verification of the orbital angular momentum algebra (OAM-algebra) [Strohaber et al.,Opt. Lett.37,3411 (2012)] was performed for high-order Laguerre Gaussian modes ℓ>1. It was found that this same algebra also describes the coherent transfer of OAM when Ince-Gaussian modes were used. New theoretical considerations extend the OAM-algebra to even and odd Laguerre Gaussian, and Hermite Gaussian beam modes through a change of basis. The results of this work provide details in the spatiotemporal synthesis of custom broadband pulses of radiation from Raman sideband generation.

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“…Frame dragging on a spinning test particle occurs also with OAM radiation in the linear regime of Einstein's equations. On a test particle, the effect induced by an OAM beam gives rise to Lense-Thirring precession of a spinning neutral particle placed along the beam axis, the precession frequency results quantized depending from the orbital angular momentum of the OV and sign [34,35]. Consider the Bergmann-Thomson gravitational angular pseudotensor related to the Einstein canonical energy-momentum tensor of matter and fields, T k i , and of the pseudotensor of gravitation, t k i ,…”

Section: Introductionmentioning

confidence: 99%

Relativistic Heisenberg principle for vortices of light from Planck to Hubble scales

Tamburini

Licata

Thidé

2020

Phys. Rev. Research

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We discuss, in the relativistic limits, Heisenberg's uncertainty principle for the electromagnetic orbital angular momentum (OAM) of monochromatic fields. The Landau and Peierls relativistic approach applied to the Heisenberg indetermination between the azimuthal angle φ and the OAM state , when a limit speed is present, exposes the conceptual limits of a possible formulation of the uncertainty principle for OAM states as it leads to the Ehrenfest's paradox of the rotation of a rigid disk in special relativity (SR). To face this problem, in a way similar to Einstein's discussion of a rotating rigid disk, one has to adopt a general relativistic approach and include the limits from smallest and largest scales present in nature, such as the Planck scale and the Hubble horizon.

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Frame dragging with optical vortices

Cited by 13 publications

References 22 publications

The gravitational field of a laser beam beyond the short wavelength approximation

The gravitational field of a laser beam beyond the short wavelength approximation

Cascade Raman sideband generation and orbital angular momentum relations for paraxial beam modes

Relativistic Heisenberg principle for vortices of light from Planck to Hubble scales

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