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Currently, the search of new ways to generate monochromatic radiation is continued. One of the possible ways to generate such radiation is the use of transition radiation from the grating (so-called grating transition radiation) [1, 2]. However, up to date there is no theory which was developed to describe the spectral characteristics of this radiation [3].
This work presents the analytical theory of transition radiation from a tilted grating consisting of a finite set of flat ideally conducting strips with vacuum gaps between them and located in one plane. The theory limits are connected to the limitations of the surface current method and macroscopic electrodynamics as a general. The radiation spectrum dependencies were analyzed for various parameters, such as the angle of grating inclination, strip width, impact parameter, and the ratio of strip numbers lower and higher than the electron beam (it's the asymmetric passage of the beam through the grating).
The analysis has shown that radiation has different spectral characteristics depending on certain parameters. For example, one spectral line can be split into two lines for a certain diffraction order.
The study was partly supported by the Ministry of Science and Higher Education of the Russian Federation (program "Science" No. FSWW-2023-0003).