Theoretical study of the Smith-Purcell effect involving photonic crystals

Ohtaka, K.; Yamaguti, S.

doi:10.1134/1.1405231

Cited by 15 publications

(11 citation statements)

References 5 publications

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“…For another system, the comparison of I(2,0) 0 with I(1,0) 0 , which supports the present conclusion, is found in Ref. 8.…”

Section: Spr Spectrum and The Band Structure Of Slab Photonic Crsupporting

confidence: 91%

“…Our previous investigations, 8 all made on I(n x , n y ) q y , can thus be taken as indicating the essence of the SPR spectra from photonic crystals.…”

Section: B Comparison Between I and Dwõd⍀mentioning

confidence: 99%

“…In fact, calculations given by Ohtaka and Yamaguti for a photonic crystal of slab geometry show that resonant excitation of a photonic band by the evanescent light from an electron gives rise to conspicuous resonant peaks in the SPR spectrum. 8 They found that the resonant enhancement grow progressively as the slab becomes thicker.…”

Section: Introductionmentioning

confidence: 99%

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Photonic crystals versus diffraction gratings in Smith-Purcell radiation

et al. 2002

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The emission cross section of Smith-Purcell radiation is calculated for a charged particle running near the surface of a photonic crystal. The cross section of a photonic crystal of arrayed dielectric spheres and that of a diffraction grating are compared. It is shown that well-defined photonic bands of the photonic crystal bring about a spectrum full of resonant structures of enhanced intensity, whose peak heights are an order of magnitude larger than the emission intensity of the diffraction grating. The results of calculations thus show a possible advantage of photonic crystals over diffraction gratings as a converter of the evanescent field from a running charge into propagating waves.

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“…For another system, the comparison of I(2,0) 0 with I(1,0) 0 , which supports the present conclusion, is found in Ref. 8.…”

Section: Spr Spectrum and The Band Structure Of Slab Photonic Crsupporting

confidence: 91%

“…Our previous investigations, 8 all made on I(n x , n y ) q y , can thus be taken as indicating the essence of the SPR spectra from photonic crystals.…”

Section: B Comparison Between I and Dwõd⍀mentioning

confidence: 99%

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Photonic crystals versus diffraction gratings in Smith-Purcell radiation

et al. 2002

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“…This superradiant emission is an underlying principle of free-electron lasers and it can be exploited to produce intense THz emission [7], in good agreement with theoretical calculations [11,12]. SPR emission has been also observed from photonic [13,14] and plasmonic [15,16] crystals with periods of the order of the light wavelength.…”

Section: Introductionsupporting

confidence: 59%

Interference of surface plasmons and Smith-Purcell emission probed by angle-resolved cathodoluminescence spectroscopy

2015

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We investigate the interplay between geometrical lattice resonances and surface plasmons mediating the emission of Smith-Purcell visible light via angle-resolved cathodoluminescence spectroscopy. We observe strong modulations in the dispersion curves of Smith-Purcell radiation (SPR) when they intersect the surface plasmons of silver gratings using a 200-kV transmission electron microscope. The decay of the plasmons away from the grating is directly probed by controlling the electron-beam position relative to the sample surface with nanometer precision. Our measurements are in excellent agreement with numerical simulations, clearly revealing the presence of characteristic Fano profiles resulting from the interference of the light continuum and the discrete plasmon states for each direction of emission. The intensity anomaly in the SPR emission pattern can be well explained from the geometrical consideration of the intersections between the dispersion planes of the SPR and surface plasmon polariton (SPP). A strong and directional SPR beam can be realized under the condition that the SPR dispersion plane comes in contact with the band edge of the SPP dispersion plane.

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“…21 This effect has already been discussed for one-dimensional 10 and three-dimensional 22,23 crystals. Radiation emission is one of the contributions to the total energy loss, and in frequency regions where the crystal is transparent the probability of these two must coincide.…”

Section: 10mentioning

confidence: 64%

Electron energy loss and induced photon emission in photonic crystals

Abajo

Blanco

2003

Phys. Rev. B

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The interaction of a fast electron with a photonic crystal is investigated by solving the Maxwell equations exactly for the external field provided by the electron in the presence of the crystal. The energy loss is obtained from the retarding force exerted on the electron by the induced electric field. The features of the energy loss spectra are shown to be related to the photonic band structure of the crystal. Two different regimes are discussed: for small lattice constants a relative to the wavelength of the associated electron excitations λ, an effective medium theory can be used to describe the material; however, for a ∼ λ the photonic band structure plays an important role. Special attention is paid to the frequency gap regions in the latter case.

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Theoretical study of the Smith-Purcell effect involving photonic crystals

Cited by 15 publications

References 5 publications

Photonic crystals versus diffraction gratings in Smith-Purcell radiation

Photonic crystals versus diffraction gratings in Smith-Purcell radiation

Interference of surface plasmons and Smith-Purcell emission probed by angle-resolved cathodoluminescence spectroscopy

Electron energy loss and induced photon emission in photonic crystals

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