Accelerating light beams with arbitrarily transverse shapes

The analysis of twisted (vortex) paraxial photons and electrons is fulfilled in the framework of relativistic quantum mechanics. The use of the Foldy-Wouthuysen representation radically simplifies the description of relativistic electrons and clarifies fundamental properties of twisted particles. It is demonstrated that the twisted and other structured photons are luminal. Their subluminality apparently takes place because the photon energy is also contributed by a hidden motion. This motion is vanished by averaging and disappears in the semiclassical description based on expectation values of the momentum and velocity operators. It is proven that semiclassical quanta of structured light are subluminal and massive. The quantum-mechanical and semiclassical descriptions of twisted and other structured electrons lead to similar results. The new effect of a quantization of the velocity and the effective mass of the structured photon and electron is predicted. This effect is observable for the photon. The twisted and untwisted semiclassical photon and electron modeled by the centroids are considered in the accelerated and rotating noninertial frame. The coincidence of their inertial masses with kinematic ones is shown. The orbital magnetic moment of the Laguerre-Gauss electron does not depend on the radial quantum number.

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“…The light beam acceleration and rotation are largely investigated (see Refs. [90,91] and references therein). The problem is rather nontrivial.…”

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confidence: 99%

Relativistic quantum-mechanical description of twisted paraxial electron and photon beams

2019

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“…This can also be understood in the angular spectrum. As shown by Ruelas et al [14], any accelerating beam can be considered as a superposition of Airy plane waves with different frequencies k y and modulations Y k y ,…”

Section: Accelerating Beam With An Off-axis Spiral Phasementioning

confidence: 99%

“…Subsequently, two other kinds of 2D NABs called Mathieu and Weber accelerating beams were found, which follow parabolic and elliptical trajectories, respectively [11][12][13]. Extending from 2D NABs, 3D NABs have also been proposed [14][15][16][17]. They can be designed with a variety of chosen transverse shapes by engineering the spectra [14].…”

Section: Introductionmentioning

confidence: 99%

“…Extending from 2D NABs, 3D NABs have also been proposed [14][15][16][17]. They can be designed with a variety of chosen transverse shapes by engineering the spectra [14]. Due to their unique properties, accelerating beams have found a diversity of useful applications, including particle and cell manipulation [18,19], laser micromachining [20], and all-optical routing [21].…”

Section: Introductionmentioning

confidence: 99%

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Improved nonparaxial accelerating beams due to additional off-axis spiral phases

She

2014

J. Opt. Soc. Am. A

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An accelerating beam with a Gaussian transverse profile can preserve its shape while propagating along a quarter of a circle. When an off-axis spiral phase is imposed, however, the beam will have an additional acceleration perpendicular to the circle. A two-dimensional accelerating beam is constructed and is found to accelerate along both the x and the y directions, but its transverse intensity profile cannot be maintained well due to the interaction of accelerations along different directions. The intensity profile can be improved by imposing two off-axis spiral phases onto the input beam.

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“…In Ref. 9 However, the Airy beams are paraxial and their complex amplitude is the solution of the Helmholtz equation in the paraxial approximation (Schrödinger-type equation). 5, the effect of astigmatism on the shape of the Airy beam was investigated.…”

Section: Introductionmentioning

confidence: 99%

Light field with its power flux circulating along a ring

2015

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The trajectory of all nonparaxial accelerating two-dimensional (2-D) light beams known to date cannot bend higher than a semicircle. A recent paper by Alonso and Bandres suggested the use of an additional mirror to generate an accelerating beam's path that would be curved greater than a semicircle but less than an entire circle. We, for the first time, show how to generate a 2-D light field with its power flux circulating about a ring. Also, we consider accelerating nonparaxial asymmetric 2-D Bessel beams, which are obtained from a conventional 2-D Bessel beam by shifting its center to the complex plane. We show numerically that with increasing asymmetry parameter of the Bessel beam, its curved path becomes shorter, whereas the side-lobes are suppressed with respect to the central peak. Downloaded From: http://opticalengineering.spiedigitallibrary.org/ on 08/16/2015 Terms of Use: http://spiedigitallibrary.org/ss/TermsOfUse.aspx Optical Engineering 111303-3 November 2015 • Vol. 54(11) Kotlyar, Kovalev, and Zaskanov: Light field with its power flux circulating along a ring Downloaded From: http://opticalengineering.spiedigitallibrary.org/ on 08/16/2015 Terms of Use: http://spiedigitallibrary.org/ss/TermsOfUse.aspx Optical Engineering 111303-6 November 2015 • Vol. 54(11) Kotlyar, Kovalev, and Zaskanov: Light field with its power flux circulating along a ring Downloaded From: http://opticalengineering.spiedigitallibrary.org/ on 08/16/2015 Terms of Use: http://spiedigitallibrary.org/ss/TermsOfUse.aspx

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Accelerating light beams with arbitrarily transverse shapes

Cited by 27 publications

References 29 publications

Relativistic quantum-mechanical description of twisted paraxial electron and photon beams

Relativistic quantum-mechanical description of twisted paraxial electron and photon beams

Improved nonparaxial accelerating beams due to additional off-axis spiral phases

Light field with its power flux circulating along a ring

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