Polarization of diffraction radiation of a bunch of charged particles on a metal sphere

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Resumo

Diffraction radiation is widely used for non-destructive diagnostics of charged particle beams. In the series of the previous works, a method was developed for describing the diffraction radiation of a non-relativistic particle on a perfectly conducting sphere, based on the method of images well-known from electrostatics. This method allows one to derive the analytic formulae for two main radiation characteristics, i.e. spectral angular density and polarization. The characteristic features of these values allow the possibility of developing, on their basis, new methods for monitoring the parameters of the trajectory of a moving particle in relation to the sphere center. In this work, formulae are obtained that describe the polarization of the coherent diffraction radiation on a metal sphere from a pancake-bunch of charged particles. It is shown that the polarization of the radiation in this case makes it possible to estimate the positions of the bunch edges relative to the center of the sphere. This can be used for the non-destructive measurement of the characteristic bunch dimensions.

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Sobre autores

V. Syshchenko

Belgorod National Research University

Email: syshch@yandex.ru
Rússia, Belgorod

A. Tarnovsky

Belgorod National Research University

Autor responsável pela correspondência
Email: syshch@yandex.ru
Rússia, Belgorod

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2. Fig. 1. Circular trajectory (dotted line) of the “image” e(t) of the charge e0 as a charged particle moves near a conducting sphere.

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3. Fig. 2. Directional pattern of diffraction radiation on a sphere at , , and : solid line – directions of radiation with linear polarization (100%); dots – circular polarization (100%).

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4. Fig. 3. Characteristics of diffraction radiation of a rectangular homogeneous bunch of particles on a sphere in the direction , with dimensions , (dotted line), (solid line), 2 (dash-dotted line), (dashed line). The impact parameter of the bunch center in the direction of the axis is equal to , the impact parameter of the bunch center in the direction of the axis is shown on the abscissa axis, other parameters coincide with the parameters in Fig. 2.

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5. Fig. 4. Same as in Fig. 3, but for an elliptical homogeneous cluster of particles, the lengths of whose axes are equal to the sides of a rectangular cluster.

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