Rotational Doppler shift of a phase-conjugated photon

Okulov, A. Yu.

doi:10.1364/josab.29.000714

Cited by 32 publications

(17 citation statements)

References 37 publications

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“…Frame rotation has also been employed when considering reflection and interference patterns [7][8][9]. However, the effect of frame rotation on the OAM of light itself has yet to be fully explored.…”

mentioning

confidence: 99%

Optical angular momentum in a rotating frame

Speirits¹,

Lavery²,

Padgett³

et al. 2014

Opt. Lett.

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It is well established that light carrying orbital angular momentum (OAM) can be used to induce a mechanical torque causing an object to spin. We consider the complementary scenario: will an observer spinning relative to the beam axis measure a change in OAM as a result of their rotational velocity? Remarkably, although a linear Doppler shift changes the linear momentum of a photon, the angular Doppler shift induces no change in the angular momentum. Further, we examine the rotational Doppler shift in frequency imparted to the incident light due to the relative motion of the beam with respect to the observer and consider what must happen to the measured wavelength if the speed of light c is to remain constant. We show specifically that the OAM of the incident beam is not affected by the rotating observer and that the measured wavelength is shifted by a factor equal and opposite to that of the frequency shift induced by the rotational Doppler effect.

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confidence: 99%

Optical angular momentum in a rotating frame

Speirits¹,

Lavery²,

Padgett³

et al. 2014

Opt. Lett.

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“…From equation (19), it can be concluded that change in frequency of one photon (or a gi for n photons) is directly proportional to the AM transferred by the relative rotational movement of the traversed object (Ω) with respect to the circularly polarized light beam traversing it (σ = ±1) [19,20]. Therefore, the interaction of light rays with the material implies that large energy exchanges in the form of AM would produce a strong rotational Doppler effect [19,21].…”

Section: Resultsmentioning

confidence: 99%

Mechanical Perspective on the Rotational Doppler Shift of a Single Photon

Lozano

2020

PSIJ

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A theoretical model that relates the rotational Doppler shift of a photon and the rotational velocity of the lenses traversed by the beam of light, is presented. The mathematical relation, which is resolved in the context of a four-dimensional Minkowski flat spacetime and Cartesian coordinates, relates the rotational Doppler effect of a circularly polarized electromagnetic wave, caused by the transfer of spin angular momentum from a rotating object (lenses), with the coordinate acceleration of the rotating object, in the counter-propagating direction in which the photons move, and its angular velocity. From the analysis of the solved equation, it can be considered the generated coordinate acceleration and the theoretical possibility that it was obtained from the mechanical energy of a rotating object traversed by a beam of light, which, in turn, would generate a coordinate acceleration difference in the parallel and counter-propagating direction in which the photons move.

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“…The synchronized modes of empty resonator form an almost perfect periodic lattice of dark spots [9]. Each dark spot is surrounded by a nearly circular flow resembling isolated optical vortex alike Laguerre-Gaussian beam [21,22]. The phase of optical field is a precise indicator of electromagnetic energy circulation [23].…”

Section: Singular Lattices and Their Vibrationsmentioning

confidence: 99%

“…A part of numerically obtained patterns is composed from zeros of amplitudes equispaced in a checkerboard geometry with alternating circulations as is shown in [8]. The macroscopic photons wavefunction Ψ ∼ E n ( r) [21] which is visualized by electric field amplitude E n ( r), demonstrates the regular lattices of field zeros with counter-rotating whirls around [ fig.6]. In contrast to optical speckle patterns [24] where vortex-antivortex pairs are distributed chaotically in space the lattice of whirls in wide-aperture lasers is periodic in space [ fig.5].…”

Section: Singular Lattices and Their Vibrationsmentioning

confidence: 99%

Configuration of vortex-antivortex lattices at output mirror of wide-area microchip laser

Okulov

2019

J. Phys.: Conf. Ser.

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Square vortex lattices predicted theoretically and experimentally observed in diode-pumped solid state microchip lasers are shown to have a remarkable symmetry. These lattices are formed by counter-rotating vortices. The interaction of vortices with nonlinear gain medium leads to precession of vortices and collective excitations with dynamics identical to acoustical and optical vibrations of atomic lattices.

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Rotational Doppler shift of a phase-conjugated photon

Cited by 32 publications

References 37 publications

Optical angular momentum in a rotating frame

Optical angular momentum in a rotating frame

Mechanical Perspective on the Rotational Doppler Shift of a Single Photon

Configuration of vortex-antivortex lattices at output mirror of wide-area microchip laser

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