Abstract
The problem of synchrotron radiation from a charged, current-carrying ring is considered. An expression is found for the spectral and angular distribution of radiation intensity including polarization effects. Some special cases of the general formula are examined: a limiting transition to the generalized Schott formula, a formula for the intensity of synchrotron radiation from a magnetic dipole oriented along the tangent to the trajectory, and a transition to the formulas for the intensity of Vavilov-Cherenkov radiation from a charged, current-carrying, annular cloud by taking sums of Bessel functions.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
Literature cited
G. A. Schott, Electromagnetic Radiation, Cambridge (1912); Ann. Phys.,24, 635 (1907).
D. D. Ivanenko and I. Ya. Pomeranchuk, Dokl. Akad. Nauk SSSR,44, 343 (1944).
L. A. Artsimovich and I. Ya. Pomeranchuk, J. Phys. USSR,9, 267 (1945); ZhÉTF,16, 379 (1946).
D. D. Ivanenko and A. A. Sokolov, Dokl. Akad. Nauk SSSR,59, 1551 (1948).
J. Schwinger, Phys. Rev.,75, 1912 (1949).
D. D. Ivanenko and A. A. Sokolov, Classical Field Theory [in Russian], Gostekhizdat (1951).
A. A. Sokolov, Introduction to Quantum Electrodynamics [in Russian], Fizmatgiz, Moscow (1958).
A. A. Sokolov and I. M. Ternov, Dokl. Akad. Nauk SSSR,153, 1052 (1963).
A. A. Sokolov and I. M. Ternov (editors), Synchrotron Radiation [in Russian], Nauka, Moscow (1966).
V. G. Bagrov, Doctoral Dissertation, Physics Faculty, Moscow State University (1969).
V. N. Baier, V. N. Katkov, and V. S. Fadin, Radiation from Relativistic Electrons [in Russian], Nauka, Moscow (1974).
A. A. Sokolov and I. M. Ternov, The Relativistic Electron [in Russian], Nauka, Moscow (1974).
A. A. Kolomenskii and A. N. Lebedev, The Theory of Circular Accelerators [in Russian], Fizmatgiz, Moscow (1962).
A. A. Kolomenskii, “Brief communications in physics,” FIAN, No. 8, 67 (1972); in: Symposium on Collective Accelerating Methods fin Russian], Dubna (1972), p. 115.
A. B. Kukanov, Izv. Vuzov SSSR, Fizika, No. 8, 108 (1969).
L. A. Artsimovich (editor), Techniques for Determining the Fundamental Properties of Atomic Nuclei and Elementary Particles [in Russian], Fizmatgiz, Moscow (1965).
A. B. Kukanov, G. A. Lavrova, andB. D. Orisa, Vestnik MGU, Ser. Fiz.-Astr., No. 111 (1971).
A. B. Kukanov and G. A. Lavrova, Vestnik MGU, Ser. Fiz.-Astr., No. 6, 718 (1972); No. 2, 250 (1974).
A. B. Kukanov, Vestnik MGU, Ser. Fiz.-Astr., No. 5, 606 (1971).
A. B. Kukanov and A. V. Konstantinovich, Vestnik MGU, Ser. Fiz.-Astr., No. 4 (1973).
I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Sums, Series, and Products [in Russian], Nauka, Moscow (1971).
Č. Muzikař, ZhÉTF,39, 163 (1960); Č. Muzikař, and V. E. Pafomov, Czechosl. J. Phys.,B11, 709 (1961).
A. B. Kukanov, Opt. i Spektr.,14, 121 (1963); A. B. Kukanov and Thai Quang, Opt. i Spektr.,15, 124 (1963).
I. M. Frank and I. E. Tamm, Dokl. Akad. Nauk SSSR,14, 107 (1937).
D. D. Ivanenko and V. N. Tsytovich, ZhÉTF,28, 291 (1955).
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 84–89, December, 1974.
Rights and permissions
About this article
Cite this article
Kukanov, A.B., Lavrova, G.A. Synchrotron radiation from a charged, current-carrying ring. Soviet Physics Journal 17, 1705–1708 (1974). https://doi.org/10.1007/BF00892882
Issue Date:
DOI: https://doi.org/10.1007/BF00892882