Radiation Spectrum of Sequence of Electrons Moving in Spiral in Medium
DOI:
https://doi.org/10.15330/pcss.20.1.12Keywords:
synchrotron-Cherenkov radiation, sequence of electrons, fine structure of spectrum, effects of coherence, oscillations in radiation spectrumAbstract
Integral expressions for spectral-angular and spectral distributions of the radiation power for the sequence of electrons moving in magnetic fields in isotropic transparent medium are investigated using the improved Lorentz`s self-interaction method. Special attention is given to the research of the fine structurre of the spectral distribution of the synchrotron-Cherenkov radiation of one, two, three and four point electrons moving along the spiral in medium. The effects of coherent radiation of harmonics and oscillations in spectrum of the synchrotron-Cherenkov radiation of two, three and four point electrons are established and investigated using the direct numerical method for calculation the function of spectral distributions of the radiation power.
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[3] J. Larmor, Aether and Matter (Cambridge, University Press, 1900).
[4] J. Jackson, Classical Electrodynamics (Mir, Moscow, 1965).
[5] A. M. Liénard, L’Eclairage électique 16, 5 (1898).
[6] O. Heaviside, Nature 67, 6 (1902).
[7] G. A. Schott, Annalen der Physik 24(14), 635 (1907).
[8] G. A. Schott, Philos. Mag. 13, 189 (1907).
[9] G. A. Schott, Electromagnetic Radiation and the Mechanical Reactions arising from It (Cambridge: University Press, 1912).
[10] I. M. Ternov, UFN 165(4), 429 (1995) (doi.org/10.3367/UFNr.0165.199504c.0429).
[11] A. A. Sokolov, I.M. Ternov, Relativistic electron (Science, Moscow, 1974).
[12] V. A. Bordovitsyn, I. M. Ternov, Synchrotron Radiation Theory and Its Development in Memory of I. M. Ternov, (Singappore: Word Scientific, 1999).
[13] H. Wiedemann, Synchrotron radiation (Berlin and Heidelberg: Springer-Verlag, 2003).
[14] A. Hofmann, The Physics of Synchrotron Radiation (Cambridge: University Press, 2007).
[15] G. A. Schott, Phil. Mag. 15(7), 752 (1933).
[16] D. Bohm, M. Weinstein, Phys. Rev., 74, 1789 (1948).
[17] G.H. Goedecke, Phys. Rev. B, 135 (1), 281 (1964).
[18] P. Pearle, “Classical Electron Models”, in Electromagnetism: Paths to Research, ed. D. Teplitz (Plenum Press, New York, 1982).
[19] H. A. Haus, American Journal of Physics 54(12), 1126 (1986).
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[21] A. V. Konstantinovich, I. A. Konstantinovich, Romanian Reports in Physics 58(2), 101 (2006).
[22] A. V. Konstantinovich, I. A. Konstantinovich, Journal of Optoelectronics and Advanced Materials 8(6), 2143 (2006).
[23] Y. Pinhasi, A. Gover, Nucl. Instr. Meth. Phys. Res. A. 358(1-3), 86 (1995) (doi.org/10.1016/0168-9002(94)01417-5).
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[25] V. A. Bordovitsyn, V. G. Bulenok, T. O. Pozdeeva, Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms 227(1), 143 (2005) (doi.org/10.1016/j.nimb.2004.05.012).
[26] O. Heaviside, Phil. Mag. 27(5-th series), 324 (1889).
[27] Th. Des Condres, Arch. Néer 5, 652 (1900).
[28] A. Sommerfeld, Nachr. Königl. Ges. Wiss. Göttingen 99 (1904).
[29] A. Sommerfeld, Nachr. Königl. Ges. Wiss. Göttingen, 363 (1904).
[30] A. Sommerfeld, Nachr. Königl. Ges. Wiss. Göttingen, 201 (1905)
[31] A. Sommerfeld, Kon. Ned. Akad, Weten. Amsterdam 7, 346 (1905).
[32] I.E. Tamm, I.M. Frank, CCA Academy Reports 14(3), 107 (1937)
[33] J. Jelly, Cherenkov radiation (Moscow: IL, 1960).
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[35] I. M. Frank, Vavilov-Cherenkov Radiation. Questions of theory (Science, Moscow, 1988).
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[37] D. B. Ion, W. Stocker, Phys. Rev. C, 52(6), 3332 (1995) (doi.org/10.1103/PhysRevC.52.3332).
[38] V. G. Kartavenko, G. N. Afanasiev, W. Greiner, Physica B: Condensed Matter. 271(1-4), 192 (1999).
[39] T. E. Stevens, J. K. Wahlstrand, R. Kuhl, R. Cherenkov, Science 291(5504), 627 (2001).(doi:10.1126/science.291.5504.627).
[40] M. Čiljak, J. Ruzicka, A.S. Vodopianov, et al., Nuclear Instruments and Methods in Physics Research Section A, 498(1-3), 126 (2003) (doi.org/10.1016/S0168-9002(02)01920-4).
[41] A. S. Vodopianov, V. P. Zrelov, A. A. Tyapkin, Particles and Nuclei, Letters 2(99), 35 (2000).
[42] A. S. Vodopianov, Y. I. Ivanshin, V. I. Lobanov et al., Nuclear Instruments and Methods in Physics Research Section B, 20(1), 266 (2003).
[43] D. B. Ion, E. K. Sarkisyan, Rom. J. Phys., 49(1-2), 25 (2004).
[44] D. B. Ion, E. K. Sarkisyan, Rom. J. Phys., 49(7-8), 671 (2004).
[45] V. N. Tsytovich, Bulletin of Moscow University. Physics (11), 27 (1951).
[46] A. V. Konstantinovich, I. A. Konstantinovich, Astroparticles Physics 30 (3), 142 (2008) (doi.org/10.1016/j.astropartphys.2008.07.006).
[47] A. V. Konstantinovich, I. A. Konstantinovich, Problems of Atomic Science and Technology. Series: Nuclear Physics Investigations, (5), 67 (2011).
[48] A. V. Konstantinovich, I. A. Konstantinovich, Rom. J. Phys. 56(1-2), 4552 (2011).
[49] A. V. Konstantinovich, Spectra of radiation of relativistic and nonrelativistic electrons and their sequence in a vacuum and a transparent environment, Thesis for a doctor's degree in physics and mathematics, Chernivtsi national university, 330 p. (2012).
[50] A. V. Konstantinovich, I. A. Konstantinovich, Rom. Rep. Phys. 66(2), 307 (2014).
[51] A. V. Konstantinovich, S. V. Melnychuk, I. A. Konstantinovich, Journal of Optoelectronics and Advanced Materials 5(5), 1423 (2003).
[52] A. V. Konstantinovich, I. A. Konstantinovich, Bulletin of the Kharkiv National University named after V.N. Karazin Series "Radiophysics and Electronics", 983(19), 38 (2011).
[53] A. V. Konstantinovich, I. A. Konstantinovich, Rom. J. Phys. 57(9-10), 1356 (2012).
[54] A. V. Konstantinovich, S. V. Melnichuk, I. M. Rarenko, I. A. Konstantinovich, V.P. Fizzy, Journal of Physical Research 4(1), 48 (2000).
[55] A. V. Konstantinovich, I. A. Konstantinovich, Physics and Chemistry of Solid State 8(2), 240 (2007).
[56] P. A. M. Dirac, Proc. Roy Soc. A, 167(1), 148 (1938).
[57] I. S. Gradshtein, I. M. Ryzhik, Tables of Integrals, Sums, Rows, and Works (Nauka, Moscow, 1971).
[58] J. Schwinger, Tsai Wu-yang, T. Erber, Ann. of Phys. 96(2), 303 (1976); 281(1-2), 1019 (2000).
[59] E. Yanke, F. Emde, F. Lesch, Special Functions (Science, Moscow, 1964).
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Published
2019-04-11
How to Cite
Konstantinovich, I., & Konstantinovich, A. (2019). Radiation Spectrum of Sequence of Electrons Moving in Spiral in Medium. Physics and Chemistry of Solid State, 20(1), 5–12. https://doi.org/10.15330/pcss.20.1.12
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