Calculation of parameters of electromagnetic radiation of accelerated electron beams during sliding interaction with a dielectric surface

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Abstract

The parameters of electromagnetic radiation that should be generated during guiding of accelerated electrons (extended sliding interaction of accelerated electrons with a dielectric surface) pressed to the surface of a dielectric plate by an external electric field are calculated. The model of the effect (guiding) is proposed based on an analysis of the solution to the Hamilton equation for the motion of electrons in an external electric field and in an electrostatic field created by electrons deposited on the surface of a dielectric plate. Superposition of these fields leads to the fact that during guiding electrons experience transverse vibrations relative to the surface of the plate, i.e. acquire lateral acceleration. And this, as is known, should lead to the generation of electromagnetic radiation, the frequency and intensity of which depend on the electron energy, similar to the radiation of undulators and wigglers. Calculations show that when electrons are guided, radiation should be generated depending on their energy. The maximum of its intensity is in the region from IR to the radio frequency range.

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About the authors

L. А. Zhilyakov

Lomonosov Moscow State University, Skobeltsyn Institute of Nuclear Physics

Author for correspondence.
Email: zhiliakovla@mail.ru
Russian Federation, Moscow

V. S. Kulikauskas

Lomonosov Moscow State University, Skobeltsyn Institute of Nuclear Physics

Email: zhiliakovla@mail.ru
Russian Federation, Moscow

A. А. Pronkin

Joint Institute for High Temperatures RAS

Email: zhiliakovla@mail.ru
Russian Federation, Moscow

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2. Fig. 1. An example of the movement of an electron during guiding along a surface with electrons deposited on it.

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3. Fig. 2. The trajectory of an electron’s movement between charged plates near a dielectric surface with electrons deposited on it.

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4. Fig. 3. Electron radiation intensity integrated over all angles for a period during guiding: 1 — during braking in the field of electrons on the surface of a dielectric; 2 — during acceleration in the electric field of a capacitor with a field strength of 1.24 × 106 V/m; γ = 1 (solid lines), 5 (long dash), 10 (dashed line), 15 (dash-dotted line), 17 (double dash-dotted line), 20 (small dash).

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5. Fig. 4. Dependence of the radiation intensity during braking at a charged dielectric surface located in a capacitor with a field strength of: 105 (1); 106 (2); 107 V/m (3); γ = 1 (solid lines), 10 (dotted lines), 20 (dashed lines).

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6. Fig. 5. Frequency at maximum radiation intensity of an electron moving in an electric field of a capacitor with a strength of 105 (1), 106 (2), 107 V/m (3) with an average acceleration of deceleration in the field of electrons deposited on the dielectric surface (solid lines) and with acceleration in an applied external electric field (dashed lines).

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