Abstract
Gal'tsov et al. [Vestn. Mosk. Gos. Univ., Fiz., Astron.,14, No. 5, 614 (1973)] studied the radiation spectrum of N equally spaced charges moving along a circle. In particular, it was shown that as N → ∞ the intensity of the radiation from the system of charges vanishes. The present study will consider the radiation spectrum of N charges moving along an arbitrary closed curve, randomly distributed in the vicinity of equally spaced points. The coherency factor will be found for the assumption that: a) the distributions of individual charges are not intercorrelated; b) the charge distribution is such that in the vicinity of a given point only one charge is found. It will be shown that as N → ∞ the radiation intensity tends to a finite limit.
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V. V. Batygin and I. N. Toptygin, Handbook of Electrodynamics Problems [in Russian], Nauka, Moscow (1976).
D. V. Gal'tsov, V. A. Losev, and A. A. Sokolov, Vestn. Mosk. Gos. Univ., Fiz., Astron.,14, No. 5, 614 (1973).
N. A. Korkhmazyan, L. A. Gevorgyan, and M. L. Petrosyan, Zh. Tekh. Fiz.,47, No. 8, 1583 (1977).
V. F. Zal'memezh, M. M. Nikitin, and V. Ya. Épp, Zh. Tekh. Fiz.,55, No. 10, 1903 (1985).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 8–11, March, 1988.
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Épp, V.Y., Sedunov, V.M. & Zal'mezh, V.F. Coherence of synchrotron radiation. Soviet Physics Journal 31, 180–182 (1988). https://doi.org/10.1007/BF00898217
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DOI: https://doi.org/10.1007/BF00898217