Abstract
A new representation is found for the energy-loss integral corresponding to Cerenkov radiation of a charged particle in a uniaxial gyrotropic crystal, for the case in which the particles is moving at some nonvanishing angle with respect to the optic axis. Particular cases are analyzed in which the integration over the variables in wave-number space can be carried out completely in analytic form.
Similar content being viewed by others
Literature cited
Ya. A. Al'pert, V. L. Ginzburg, and E. L. Feinberg, Propagation of Radio Waves [in Russian], Gostekhizdat, Moscow (1953).
V. P. Silin and A. A. Rukhadze, Electromagnetic Properties of Plasmas and Plasmalike Media [in Russian], Gostekhizdat, Moscow (1961).
V. I. Veksler, CERN Symposium, Geneva, Vol. 1 (1956), p. 80.
A. A. Kolomenskii, Zh. Eksp. Teor. Fiz.,24, 167 (1953).
A. G. Sitenko and A. A. Kolomenskii, Zh. Éksp. Teor. Fiz.,30, 511 (1956).
A. A. Kolomenskii, Dokl. Akad. Nauk SSSR,106, 982 (1956).
J. G. Linhart, J. Appl. Phys.,26, 527 (1955).
G. A. Begiashvili and E. V. Gedalin, Zh. Eksp. Teor. Fiz.,35, 1513 (1958).
V. G. Bar'yakhtar and M. I. Kaganov, Zh. Éksp. Teor. Fiz.,35, 766 (1958).
T. Kihara, O. Aono, and R. Sugihara, Nuclear Fusion,1, 181 (1961).
E, D. Gazazyan and O. S. Mergelyan, Zh. Éksp. Teor. Fiz.,34, 1432 (1964).
W. Sollfray and H. T. Yura, Phys. Rev.,139, 48 (1965).
V. N. Kurdyumov, Zh. Tekh. Fiz.,35, 1771 (1965);38, 260 (1968).
V. N. Kurdyumov, Zh. Tekh. Fiz.,38, 250 (1968).
V. L. Ginzburg, Propagation of Electromagnetic Waves in a Plasma [in Russian], Fizmatgiz, Moscow (1960).
K. A. Barsukov, Doctoral Dissertation [in Russian], MGPI im. Lenina (1968).
B. M. Bolotovskii, Usp. Fiz. Nauk,62, 201 (1957).
V. P. Zrelov, Cerenkov Radiation and Its Applications in High-Energy Physics [in Russian], Atomizdat, Moscow (1968).
A. B. Kukanov, Opt. Spektrosk.,14, 121 (1963).
A. B. Kukanov and Tkhai Kuan, Opt. Spektrosk.,15, 124 (1963).
A. B. Kukanov and Zh. P. Nzoge-Nguema, Opt. Spektrosk.,23, 481 (1967).
A. B. Kukanov, Vestnik MGU, Ser. Fiz.-Astron., No. 4 (1968), p. 75.
D. D. Ivanenko and A. A. Sokolov, Classical Field Theory [in Russian], Gostekhizdat, Moscow-Leningrad (1951).
C. Muzikar and V. E. Pafomov, Czech. J. Phys.,B11, 709 (1961).
Ch. Muzikarzh, Zh. Éksp. Teor. Fiz.,39, 163 (1960).
V. N. Kurdyumov, Dokl. Akad. Nauk SSSR,134, 563 (1960).
P. F. Byrd and M. D. Friedman, Handbook of Elliptic Integrals for Engineers and Physicists, Berlin -Gottingen-Heidelberg (1954).
I. M. Frank and I. E. Tamm, Dokl. Akad. Nauk SSSR,14, 107 (1937).
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya VUZ. Fizika, No. 1, pp. 47–54, January, 1970.
The authors thank Professor A. A. Sokolov for interest in this study and discussion of results.
Rights and permissions
About this article
Cite this article
Kukanov, A.B. A representation for the energy-loss integral corresponding to Cerenkov radiation by a charged particle in a uniaxial gyrotropic crystal. Soviet Physics Journal 13, 34–40 (1970). https://doi.org/10.1007/BF00817219
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00817219