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Abstract: The Smith-Purcell radiation is usually measured when an electron passes overthe grating of metallic stripes. However, for high frequencies exceeding theplasma frequency of the grating material none material could be treated as aconductor, but ought to be considered as a dielectric with plasma-likepermittivity. So for describing Smith-Purcell radiation in the range of highfrequencies new theoretical approaches are needed. In the present paper weapply the simple variant of eikonal approximation developed earlier to the caseof radiation on the set of parallel semi-infinite dielectric plates. Theformulae obtained describe the radiation generated by the particles bothpassing through the plates traditionally referred as -transition radiation-and moving in vacuum over the grating formed by the edges of the platestraditionally referred as -diffraction radiation-, and, taking into accountthe periodicity of the plates arrangement, as Smith-Purcell radiation.



Author: N. F. Shul'ga, V. V. Syshchenko

Source: https://arxiv.org/



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