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We consider radiation generated by an electron travelling parallel to aplanar rectangular silicon grating: Smith-Purcell radiation to the vacuum side,internal Smith-Purcell radiation into the dielectric, and Cherenkov radiationinto the dielectric. Internal Smith-Purcell radiation dominates over the othertwo radiation mechanisms in the range where conventional Smith-Purcellradiation is forbidden. This observation may lead to improved design ofcontactless particle beam monitors.

Internal Smith-Purcell radiation and its interplay with Cherenkov  diffraction radiation in silicon -- a combined time and frequency domain  numerical study