Персона: Гараев, Дамир Ильдарович
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On the Reducing the Number of Equations in the Problem of Radiation of a Cluster of Interacting particles О понижении числа уравнении в задаче об излучении кластера взаимодеиствующих частиц
© Санкт-Петербургский государственный университет, 2020In this paper we investigate analytically polarization radiation excited due to interaction of an electron with a cluster of coupled subwavelength particles. The results are valid both for nonrelativistic and for relativistic charged particles. The expression for the Fourier image of radiation field has been obtained, which allows direct calculating spectral and angular density of the radiated energy. In general case, to find the radiation field with taking into account the interaction between particles, it is necessary to solve a system of N! self-consistent tensor equations, where N is the number of particles in the cluster. We suggest the algorithm for reducing the system of N! equations to N equations. The reduction in the number of equations is achieved through the calculation of the fields at the each point in which the dipole moment is, rather than through calculation of the fields from the every source. This facilitates considerably the finding solutions in problems of radiation for the clusters of particles.
On polarization of Smith-Purcell radiation from a photonic crystal slab
Focusing of Smith-Purcell radiation from a two-dimensional particle array in the prewave zone
Theory of Smith-Purcell radiation from a 2D array of small noninteracting particles
© 2021 American Physical Society.We construct the first-principles theory for the scattering of the Coulomb field of a fast electron traveling along an array of nano- or microparticles. The electron's trajectory is arbitrarily oriented in the plane parallel to the surface. We show that Smith-Purcell radiation accompanying this process results in very rich diffraction patterns, which differ dramatically from the ones for conventional diffraction gratings; a numerical analysis was made for THz frequencies. The generalized Smith-Purcell dispersion relation has been derived; it describes the link between frequency, two periods of the structure, the electron's velocity, and the angle of radiation with maximal intensity. The unique spatial distribution of the generated light can form the basis for the generation of structured-light electron-driven photon sources.