Optical diffraction radiation from a dielectric and a metal nanowire excited by a modulated electron beam

Yevtushenko, Dariia O.; Dukhopelnykov, Sergii V.; Nosich, Alexander I.

doi:10.1007/s11082-018-1741-4

Cited by 16 publications

(8 citation statements)

References 26 publications

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“…The W(h) oscillations are of resonant nature. Similar effects for the more general phenomenon of diffraction radiation [63] have been predicted for the motion of charged particles near an open metallic or dielectric resonator [64,65] or an array of metallic resonators [66]; enhanced radiation occurs for frequencies close to one of the resonant frequencies of the cavity. In case of the oscillatory effect shown in Fig.…”

Section: Energy Oscillations With Grating Tooth Height -Grating Reson...supporting

confidence: 63%

Frequency-domain calculation of Smith-Purcell radiation for metallic and dielectric gratings

Szczepkowicz,

Schachter,

England

2020

Preprint

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The intensity of Smith-Purcell radiation from metallic and dielectric gratings (silicon, silica) is compared in a frequency-domain simulation. The numerical model is discussed and verified with the Frank-Tamm formula for Cherenkov radiation. For 30 keV electrons, rectangular dielectric gratings are less efficient than their metallic counterpart, by an order of magnitude for silicon, and two orders of magnitude for silica. For all gratings studied, radiation intensity oscillates with grating tooth height due to electromagnetic resonances in the grating. 3D and 2D numerical models are compared.

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Section: Energy Oscillations With Grating Tooth Height -Grating Reson...supporting

confidence: 63%

Frequency-domain calculation of Smith-Purcell radiation for metallic and dielectric gratings

Szczepkowicz,

Schachter,

England

2020

Preprint

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“…As we have verified, the error in the optical theorem oscillates at the level of machine precision and the error in the boundary conditions is the same level as for the solution of (10), controlled by the matrix truncation order M. Additionally, if we set the material of wire #2 to be the free space, then the computed cross-sections coincide with their values for a stand-alone silver wire, found in analytical form [17].…”

mentioning

confidence: 53%

“…Such sensors are usually called beam position monitors (BPM). Today, BPM design can be extended to the optical range because emergence and rapid development of nanotechnology opens the way to fabricate ensembles of nanoscale optical scatterers with controlled shape and placement [15][16][17]. As nanosize components introduce negligible distortion to the beam, its velocity and trajectory can be assumed fixed.…”

Section: Introductionmentioning

confidence: 99%

“…( ) e l = -Re 1 , with ( ) e l standing for the complex-valued dielectric function of metal [17,[19][20][21][22]. As one can see, this equation does not involve the wire radius, which can be formally arbitrarily small.…”

Section: Introductionmentioning

confidence: 99%

“…The wavelengths, which satisfy this equation, are in the ultra-violet for silver and in the green for gold. However, even noble metals are sizably lossy in the visible range and hence the LSP Q-factors are quite low [17].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Visible light from modulated electron beam moving between twin circular silver nanowires forming plasmonic photonic molecule

Yevtushenko¹,

Dukhopelnykov²

2020

J. Opt.

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The visible-range diffraction radiation of harmonically modulated electron beam, which moves between twin circular silver nanowires, is considered. The electromagnetic field of such a two-dimensional beam is a surface wave propagating along its trajectory with the phase velocity equal to the beam velocity. This wave induces currents on the nanowires and hence radiation occurs even if the beam does not touch the wires. If the wires are tuned to a resonance, the radiated power displays a peak proportional to the resonant mode Q-factor. Sub-wavelength in radius silver nanowires are famous as nanoresonators due to the localized surface-plasmon modes. In our analysis, we use the field expansions in the azimuthal Fourier series and the addition theorems for the cylindrical functions. This enables us to reduce the wave scattering problem to a Fredholm second kind infinite-matrix equation that guarantees convergence of numerical solutions. Truncating this matrix, we compute the near and far field patterns of the wires as optically coupled plasmonic resonators and analyze dependence of the far-field spectral characteristics on the wavelength and electron beam parameters.

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Electron-beam excitation of supermodes of a photonic molecule built on twin high refractive index dielectric nanowires

Yevtushenko

Dukhopelnykov

Nosich

2019

Journal of Applied Physics

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We study the radiation that occurs if a modulated beam of electrons flows between two identical high-index dielectric nanowires, which form a photonic molecule, in the visible wavelength range. The electromagnetic field of such a two-dimensional beam has the shape of the surface wave propagating along its trajectory. This wave induces the polarization and surface currents on the nearby obstacles, and hence, radiation occurs even if the beam does not touch the obstacle. Here, a pair of dielectric nanowires behaves as optically coupled open resonators, thanks to which the diffraction radiation is enhanced near the wavelengths of the natural modes. As known, the latter are so-called supermodes built on the modes of each wire, with the account of two-fold symmetry of the pair. To solve accurately the scattering problem, we use a semianalytical technique based on the Fourier expansions in the local coordinates of each wire and the addition theorems for the cylindrical functions. This leads to the efficient code having mathematically guaranteed convergence. We compute spectral characteristics of the diffraction radiation, analyze their dependences on the electron-beam parameters, and visualize the near-field and far-field patterns. A new form of the optical theorem adapted to the modulated electron-beam excitation is derived and exploited. Possible applications of the studied effects in the design of optical beam position monitors are discussed.

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Optical diffraction radiation from a dielectric and a metal nanowire excited by a modulated electron beam

Cited by 16 publications

References 26 publications

Frequency-domain calculation of Smith-Purcell radiation for metallic and dielectric gratings

Frequency-domain calculation of Smith-Purcell radiation for metallic and dielectric gratings

Visible light from modulated electron beam moving between twin circular silver nanowires forming plasmonic photonic molecule

Electron-beam excitation of supermodes of a photonic molecule built on twin high refractive index dielectric nanowires

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