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Currently, the search for new methods to generate monochromatic radiation continues. One promising approach is the use of transition radiation from a grating, known as grating transition radiation [1, 2]. However, to date, no comprehensive theory has been developed to accurately describe the spectral characteristics of this radiation [3].
This work presents an analytical theory of transition radiation generated by a tilted grating composed of a finite number of flat, ideally conducting strips separated by vacuum gaps and arranged in a single plane. The theory is based on the surface current method and macroscopic electrodynamics, which inherently impose certain limitations on its applicability.
We analyze how the radiation spectrum depends on various parameters, including the grating’s inclination angle, strip width, impact parameter (the distance between the electron beam and the grating), and the asymmetry in the number of strips located below and above the electron beam (i.e., asymmetric beam passage through the grating).
Our analysis reveals that the radiation exhibits different spectral characteristics depending on these parameters. For instance, a single spectral line corresponding to a certain diffraction order can split into two distinct lines under specific conditions.
This research was supported by TPU development program Priority 2030 (Priority-2030-NIP-061-198-2025).
[1] P. Henri et al., Phys. Rev. E 60, 6214 (1999).
[2] G.A. Naumenko et al., JETP Letters 104, 806 (2016).
[3] A.R. Mkrtchyan et al., Phys. Rev. E 93, 022117 (2016).