Smith-Purcell radiation from electrons moving parallel to a gratingat oblique incidence to the rulings

Abstract

Smith-Purcell radiation is produced when a charged particle moves parallel and close to a diffraction grating. We extend previous descriptions of the phenomenon by considering a particle moving parallel to the grating surface at an arbitrary angle with respect to the grating rulings. The problem of calculating the emitted radiation intensity is shown to be linked to a special grating problem involving evanescent incident waves and conical diffraction. Conservation relations are derived by applying techniques from electromagnetic grating theory, and Smith-Purcell spectra are calculated for some specific cases of practical interest.

Image formation in high-contrast optical systems: the role of polarization

“…A qualitative understanding of the effects of metal thin film inhomogenieties on system scattered-light is provided by analysis of the Smith-Purcell Effect 10 , 11 .…”

Influence of beam divergence on form-factor in X-ray diffraction radiation

“…However, the authors calculated only the vertical divergence, asserting that it leads to changing in spectrum of Smith-Purcell radiation stronger than horizontal one qualitatively described in [5] (in terms of single-particle radiation).…”

“…Besides, in all these works (excluding [5], in which, however, the divergent beams was not considered) a very important effect was not taken into account -the effect of conical diffraction. This effect for DR has been considered for the first time in our article [12].…”

Photonic crystals versus diffraction gratings in Smith-Purcell radiation

“…In the case of diffraction gratings [9][10][11][12][13][14] and 1D periodic scatterers, 15 too, the SPR spectrum has a nontrivial frequency dependence, as observed both experimentally and theoretically. The spectrum is often characterized by the appearance of frequency ranges of enhanced intensity, in connection with the opening of a diffraction channel as the photon energy increases.…”