Curvature-induced geometric momenta: the origin of waveguide dispersion of surface plasmons on metallic wires

Spittel, Ron; Uebel, Patrick; Bartelt, Hartmut; Schmidt, Markus A.

doi:10.1364/oe.23.012174

Cited by 41 publications

(34 citation statements)

References 31 publications

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“…a change of their phase velocity. 11 In the present study, we show that the time derivative of momentum in the Heisenberg equation gives not only the centripetal force which has classical correspondence, but also a curvature induced force proportional to the full Laplacian of the mean curvature, of which the intrinsic Laplacian part in interface physics is responsible for the curvature driven interface evolution, and phase transition due to the diffusion, etc., 12 which has nevertheless no classical correspondence.…”

confidence: 51%

Heisenberg equation for a nonrelativistic particle on a hypersurface: From the centripetal force to a curvature induced force

Lian

Liu

2017

AIP Advances

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In classical mechanics, a nonrelativistic particle constrained on an N − 1 curved hypersurface embedded in N flat space experiences the centripetal force only. In quantum mechanics, the situation is totally different for the presence of the geometric potential. We demonstrate that the motion of the quantum particle is "driven" by not only the the centripetal force, but also a curvature induced force proportional to the Laplacian of the mean curvature, which is fundamental in the interface physics, causing curvature driven interface evolution.

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confidence: 51%

Heisenberg equation for a nonrelativistic particle on a hypersurface: From the centripetal force to a curvature induced force

Lian

Liu

2017

AIP Advances

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“…[ 52,79 ] These special plasmonic modes formed the basis of a series of results within the area of plasmonics such as ultrastrong plasmonic hybridization [ 54 ] or the excitation of propagating plasmonic molecules. [ 53 ] Besides these rather fundamental studies, hybrid fi bers including metallic NWs are also of relevance from the application point of view.…”

Section: Near-field Probes Using Plasmonic Fibersmentioning

confidence: 99%

Hybrid Optical Fibers – An Innovative Platform for In‐Fiber Photonic Devices

Schmidt

Argyros

Sorin

2015

Advanced Optical Materials

163

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The field of hybrid optical fibers is one of the most active research areas in current fiber optics and has the vision of integrating sophisticated materials inside fibers, which are not traditionally used in fiber optics. Novel in‐fiber devices with unique properties have been developed, opening up new directions for fiber optics in fields of critical interest in modern research, such as biophotonics, environmental science, optoelectronics, metamaterials, remote sensing, medicine, or quantum optics. Here the recent progress in the field of hybrid optical fibers is reviewed from an application perspective, focusing on fiber‐integrated devices enabled by including novel materials inside polymer and glass fibers. The topics discussed range from nanowire‐based plasmonics and hyperlenses, to integrated semiconductor devices such as optoelectronic detectors, and intense light generation unlocked by highly nonlinear hybrid waveguides.

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“…Experimental justification was performed by comparison of the interference spots formed by the surface plasmon polariton propagating on a cylindrical surface, predicted by the introduction of the geometric momentum or not [8], respectively. Some of previous discussions deal with quite general case [5,7,10], some of them [3,4,6,9] are mainly for a particle on Σ 2 .…”

Section: Introductionmentioning

confidence: 99%

Generally covariant geometric momentum, gauge potential and a Dirac fermion on a two-dimensional sphere

Liu

Zhou

et al. 2019

Eur. Phys. J. C

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For a particle that is constrained on an (N −1)-dimensional (N ≥ 2) curved surface, the Cartesian components of its momentum in N -dimensional flat space is believed to offer a proper form of momentum for the particle on the surface, which is called the geometric momentum as it depends on the mean curvature. Once the momentum is made general covariance, the spin connection part can be interpreted as a gauge potential. The present study consists in two parts, the first is a discussion of the general framework for the general covariant geometric momentum. The second is devoted to a study of a Dirac fermion on a two-dimensional sphere and we show that there is the generalized total angular momentum whose three cartesian components form the su(2) algebra, obtained before by consideration of dynamics of the particle, and we demonstrate that there is no curvature-induced geometric potential for the fermion. PACS numbers: 03.65.Pm Relativistic wave equations; 04.60.Ds Canonical quantization; 04.62.+v Quantum fields in curved spacetime; 98.80.Jk Mathematical and relativistic aspects of cosmology * Electronic address: quanhuiliu@gmail.com

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Curvature-induced geometric momenta: the origin of waveguide dispersion of surface plasmons on metallic wires

Cited by 41 publications

References 31 publications

Heisenberg equation for a nonrelativistic particle on a hypersurface: From the centripetal force to a curvature induced force

Heisenberg equation for a nonrelativistic particle on a hypersurface: From the centripetal force to a curvature induced force

Hybrid Optical Fibers – An Innovative Platform for In‐Fiber Photonic Devices

Generally covariant geometric momentum, gauge potential and a Dirac fermion on a two-dimensional sphere

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