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Registration Number

0225U000450, (0124U003625) , R & D reports

Title

Coherent X-ray radiation by high-energy electrons in crystals of small size

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Дослідження когерентного рентгенівського випромінювання електронів високих енергій у кристалах малого розміру

Head

Trofymenko Serhii V., Доктор фізико-математичних наук

Registration Date

11-01-2025

Organization

National Science Center "Kharkiv Institute of Physics and Technology"

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The aim of the work is to investigate the spectral-anglular distribution and total yield of coherent X-ray radiation emitted in the vicinity of the Bragg diffraction direction when high-energy electrons interact with a single crystal whose size is smaller (in particular, much smaller) than the characteristic transverse size of the particle's Coulomb field.

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Spectral-angular density of coherent X-ray radiation (CXR) is calculated for the passage of an ultrarelativistic electron through a thin crystal plate of circular cross-section and for the particle motion near such a plate for an arbitrary impact parameter of the electron relative to the center of the plate. For the case of electron passing through the center of the plate, an analytical expression for CXR spectral-angular density is obtained. Expressions for CXR spectral-angular density are obtained for the passage of an ultra-relativistic electron through a small crystal ball (which is a model of a crystalline nanoparticle) and for the motion of the electron near such a ball for an arbitrary impact parameter of the particle with respect to the center of the ball. For the case of large impact parameters of the electron with respect to the center of the ball, the expression for CXR spectral-angle density is obtained in an analytical form. For these cases, the expressions for the angular distribution of the number of emitted CXR photons are obtained. It is shown that in the case when the size of the ball is much smaller than the characteristic transverse size of the particle's Coulomb field, the width of CXR angular distribution is defined not by the energy of the particle, but by the size of the ball. The differential and total cross-section of CXR for the interaction of an electron with a small crystal ball is obtained.

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