Splashing transients of 2D plasmons launched by swift electrons

Lin, Xiao; Kaminer, Ido; Shi, Xihang; Gao, Fei; Yang, Zhаoju; Gao, Z.; Buljan, Hrvoje; Joannopoulos, John D.; Soljačić, Marin; Chen, Hongsheng; Zhang, Baile

doi:10.1126/sciadv.1601192

Cited by 78 publications

(81 citation statements)

References 46 publications

(65 reference statements)

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“…To facilitate the discussion of Doppler effects in the system with a negative refractive‐index, we proceed to their analytical derivation. With the application of plane wave expansion, we have

[\begin{matrix} \bar{k} \\ ω / c \end{matrix}] = [\begin{matrix} \bar{\bar{α}} & + γ \overset{β}{true} \\ + γ \overset{β}{true} & γ \end{matrix}] [\begin{matrix} {\overset{k}{true}}^{'} \\ ω_{0} / c \end{matrix}]

from the Lorentz transformation;

\bar{k} = \hat{x} k_{x} + \hat{y} k_{y} + \hat{z} k_{z}

(

{\overset{k}{true}}^{'} = \hat{x} k_{x}^{'} + \hat{y} k_{y}^{'} + \hat{z} k_{z}^{'}

) is the wavevector in the laboratory frame (the moving source frame), respectively;

\bar{β} = \bar{v} / c

;

γ = {(1 - β^{2})}^{- 1 / 2}

is the Lorentz factor;

\bar{\bar{α}} = \bar{\bar{I}} + false(γ - 1 false) \frac{\bar{β} \bar{β}}{β^{2}}

;

\bar{\bar{I}}

is the unity dyad and

\bar{β} \bar{β} = \hat{z} \hat{z} v^{2} / c^{2}

is also a dyad. From the Lorentz transformation, we can directly have the following two relationships, namely

ω = γ ω_{0} + γ v k_{z}^{'}

…”

Section: Resultsmentioning

confidence: 99%

Normal Doppler Frequency Shift in Negative Refractive‐Index Systems

Lin

Zhang

2019

Laser & Photonics Reviews

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Besides the well‐known negative refraction, a negative refractive‐index material can exhibit another two hallmark features, which are the inverse Doppler effect and backward Cherenkov radiation. The former is known as the motion‐induced frequency shift that is contrary to the normal Doppler effect, and the latter refers to the Cherenkov radiation whose cone direction is opposite to the source's motion. Here these two features are combined and the Doppler effect inside the backward Cherenkov cone is discussed. It is revealed that the Doppler effect is not always inversed but can be normal in negative refractive‐index systems. A previously un‐reported phenomenon of normal Doppler frequency shift is proposed in a regime inside the backward Cherenkov cone, when the source's velocity is two times faster than the phase velocity of light. A realistic metal–insulator–metal structure, which supports metal plasmons with an effective negative refractive index, is adopted to demonstrate the potential realization of this phenomenon.

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[\begin{matrix} \bar{k} \\ ω / c \end{matrix}] = [\begin{matrix} \bar{\bar{α}} & + γ \overset{β}{true} \\ + γ \overset{β}{true} & γ \end{matrix}] [\begin{matrix} {\overset{k}{true}}^{'} \\ ω_{0} / c \end{matrix}]

from the Lorentz transformation;

\bar{k} = \hat{x} k_{x} + \hat{y} k_{y} + \hat{z} k_{z}

(

{\overset{k}{true}}^{'} = \hat{x} k_{x}^{'} + \hat{y} k_{y}^{'} + \hat{z} k_{z}^{'}

) is the wavevector in the laboratory frame (the moving source frame), respectively;

\bar{β} = \bar{v} / c

;

γ = {(1 - β^{2})}^{- 1 / 2}

is the Lorentz factor;

\bar{\bar{α}} = \bar{\bar{I}} + false(γ - 1 false) \frac{\bar{β} \bar{β}}{β^{2}}

;

\bar{\bar{I}}

is the unity dyad and

\bar{β} \bar{β} = \hat{z} \hat{z} v^{2} / c^{2}

is also a dyad. From the Lorentz transformation, we can directly have the following two relationships, namely

ω = γ ω_{0} + γ v k_{z}^{'}

…”

Section: Resultsmentioning

confidence: 99%

Normal Doppler Frequency Shift in Negative Refractive‐Index Systems

Lin

Zhang

2019

Laser & Photonics Reviews

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“…Therefore, transition radiation from a periodic structure is called the resonance transition radiation [38,39,48].…”

Section: Supplementary Note 2: Resonance Transition Radiation From Mumentioning

confidence: 99%

Controlling Cherenkov Angles with Resonance Transition Radiation

Lin

Easo

Shen

et al. 2018

Conference on Lasers and Electro-Optics

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Cherenkov radiation provides a valuable way to identify high energy particles in a wide momentum range, through the relation between the particle velocity and the Cherenkov angle. However, since the Cherenkov angle depends only on material's permittivity, the material unavoidably sets a fundamental limit to the momentum coverage and sensitivity of Cherenkov detectors. For example, Ring Imaging Cherenkov detectors must employ materials transparent to the frequency of interest as well as possessing permittivities close to unity to identify particles in the multi GeV range, and thus are often limited to large gas chambers.It would be extremely important albeit challenging to lift this fundamental limit and control Cherenkov angles as preferred. Here we propose a new mechanism that uses the constructive interference of resonance transition radiation from photonic crystals to generate both forward and backward Cherenkov radiation.This mechanism can control Cherenkov angles in a flexible way with high sensitivity to any desired range of velocities. Photonic crystals thus overcome the severe material limit for Cherenkov detectors, enabling the use of transparent materials with arbitrary values of permittivity, and provide a promising option suited for identification of particles at high energy with enhanced sensitivity.

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“…Graphene—an atomically thin lattice of carbon atoms arranged in hexagonal pattern—offers unique possibilities for confining light down to the nanometer scale, with the further appealing ability of electrical tunability through gated injection of charge carriers. In particular, doped graphene enables the excitation of tunable localized plasmons in nanoislands and polaritons propagating along infinitely extended sheets that play a relevant role in plasmon‐enhanced light–matter interaction . The extraordinary confinement offered by plasmons in extended graphene is expected to enhance dramatically the SOI of non‐paraxial impinging light, leading to the development of active devices for the manipulation and control of OAM at the nanoscale.…”

Section: Introductionmentioning

confidence: 99%

Plasmon‐Enhanced Spin–Orbit Interaction of Light in Graphene

Ciattoni¹,

Rizza²,

Lee

et al. 2018

Laser & Photonics Reviews

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A novel theoretical framework is developed describing polariton‐enhanced spin–orbit interaction (SOI) of light on the surface of 2D media. The reduced dimensionality of the system is exploited to introduce a quantum‐like formalism particularly suitable to fully take advantage of rotational invariance. Conservation of total angular momentum upon scattering enables the physical unveiling of the interaction between radiation and the 2D material along with the detailed exchange processes among orbital and spin components. In addition, the formalism is specialized to doped extended graphene, finding such an SOI to be dramatically enhanced by the excitation of plasmons propagating radially along the graphene sheet. Several examples of the enormous possibilities offered by plasmon‐enhanced SOI of light are provided including vortex generation, mixing, and engineering of tunable deep subwavelength arrays of optical traps in the near field.

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Splashing transients of 2D plasmons launched by swift electrons

Abstract: Revealing how 2D plasmons emerge and evolve in electron energy–loss spectroscopy (EELS).

Cited by 78 publications

References 46 publications

Normal Doppler Frequency Shift in Negative Refractive‐Index Systems

Normal Doppler Frequency Shift in Negative Refractive‐Index Systems

Controlling Cherenkov Angles with Resonance Transition Radiation

Plasmon‐Enhanced Spin–Orbit Interaction of Light in Graphene

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