Spontaneous Smith-Purcell radiation described through induced surface currents

Decoherence induced by Smith-Purcell radiation

“…Alternatively, one could model the currents induced in the conducting surface and use the empty space two-point function. Indeed, this approach has been considered in the literature in order to calculate the radiated intensity distribution produced by an electron beam passing over a metallic grating [14]. A third possibility, when the geometry of the conductor allows it, is to use the method of images to reproduce the effects of the surface currents.…”

“…Moreover, to avoid the problem of non physical velocities v z > 1 for the image charges, we will assume that the slopes are not very steep. The method of images has already been considered to compute the intensity distribution of the Smith-Purcell radiation [15], as well as to model the induced retarded currents in the conductor [14].…”

Resonant diffraction radiation from inclined gratings and bunch length measurements

“…Although this criterion was derived for the case of parallel orientation (H 0 = 0) we can apply it for the resonant diffraction radiation, assuming small inclination angles (H 0 ( p/2). Thus, the far-field distance depends on the grating length Nd quadratically, and the SPR characteristics in the pre-wave zone do not correspond to the widely-studied radiation properties [15,16]. Hence, if SPR shall be applied for bunch length diagnostics it is important to take into account the finite distance between grating and detector, because pre-wave zone effects may play a significant role for distances which do not satisfy the criterion Eq.…”

Smith–Purcell Radiation

“…Simulations have been performed using a dedicated software based on [4] to estimate the expected signal intensity and distribution. Some of these simulations are shown on Figure 4.…”

“…This has the advantage of spreading the radiation emitted in different directions depending on its wavelength, allowing an easier rejection of the background noise coming from other sources (see Figure 1). Several theories have been proposed to described CSPR [4,5] and some comparisons have been done at low energy [6]. However to use CSPR as a single shot longitudinal profile monitor an accurate and experimentally validated description of the distribution of the radiation is necessary.…”