Abstract
The intensity of undulator radiation, distortion of the spectrum, and the broadening of spectral lines of a planar undulator with a constant component of the magnetic field on its axis are studied using the technique of generalized special functions. Based on the obtained mathematical solutions, it is shown how the choice of certain values of the undulator parameters makes it possible to decrease the distortions of its radiation spectrum. The dependence of distortion of the spectral lines on the number of periods, the magnetic field, and other undulator parameters is determined analytically. The broadenings of the spectral lines caused by homogeneous and inhomogeneous effects produced by the constant-field components in undulators are compared. The possibility of the influence of the Earth’s magnetic field on the radiation of an undulator with a large number of periods is analyzed.
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References
I. M. Ternov and V. V. Mikhailin, Synchrotron Radiation. Theory and Experiment (Energoatomizdat, Moscow, 1986) [in Russian].
I. M. Ternov, V. V. Mikhailin, and V. R. Khalilov, Synchrotron Radiation and Its Applications (Mosk. Gos. Univ., Moscow, 1980; Harwood Academic, Chur, Switzerland, 1985).
L. A. Artsimovich and I. Ya. Pomeranchuk, Zh. Eksp. Teor. Fiz. 16, 379 (1946).
A. A. Sokolov and I. M. Ternov, The Relativistic Electron (Nauka, Moscow, 1974) [in Russian].
D. F. Alferov, Yu. A. Bashmakov, and E. G. Bessonov, Sov. Phys. Tech. Phys. 17, 1540 (1973).
I. M. Ternov, Phys. Usp. 38, 409 (1995).
E. L. Saldin, E. A. Schneidmiller, and M. V. Yurkov, The Physics of Free Electron Lasers (Springer, Berlin, 2000).
E. N. Rogozin and I. I. Sobel’man, Phys. Usp. 47, 195 (2004).
J. Feldhaus and B. Sonntag, Springer Ser. Opt. Sci. 134, 91 (2009).
A. A. Zholents, Laser Phys. 15, 855 (2005).
V. V. Mikhailin, Synchrotron Radiation in Spectroscopy (Universitetskaya kniga, Moscow, 2011) [in Russian].
E. G. Bessonov, Proc. SPIE 6634, 66340X (2007).
D. F. Alferov, Yu. A. Bashmakov, and P. A. Cherenkov, Sov. Phys. Usp. 32, 200 (1989).
K. V. Zhukovskii and V. V. Mikhailin, Vestn. Mosk. Univ., Fiz. Astron., No. 2, 41 (2005).
G. Dattoli, V. V. Mikhailin, P. L. Ottaviani, and K. V. Zhukovsky, J. Appl. Phys. 100, 084507-1 (2006).
G. Dattoli, V. V. Mikhailin, and K. V. Zhukovsky, J. Appl. Phys. 104, 124507-1 (2008).
D. Dattoli, K. V. Zhukovskii, and V. V. Mikhailin, Vestn. Mosk. Univ., Fiz. Astron., No. 5, 33 (2009).
K. Zhukovsky, Synchrotron: Design, Properties and Applications (Nova Science, USA, 2012).
J. D. Jackson, Classical Electrodynamics, 2nd ed. (Wiley, New York, 1975).
P. V. Vagin, U. Englisch, T. Müller, et al., J. Surf. Invest.: X-Ray, Synchrotr. Neutron Tech. 6, 1055 (2011).
V. N. Korchuganov, N. Yu. Sveshnikov, N. V. Smolyakov, and S. I. Tomin, J. Surf. Invest.: X-Ray, Synchrotron Neutron Tech. 4, 891 (2010).
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Original Russian Text © V.V. Mikhailin, K.V. Zhukovsky, A.I. Kudyukova, 2014, published in Poverkhnost’. Rentgenovskie, Sinkhrotronnye i Neitronnye Issledovaniya, 2014, No. 5, pp. 16–23.
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Mikhailin, V.V., Zhukovsky, K.V. & Kudyukova, A.I. On the radiation of a planar undulator with constant magnetic field on its axis taken into account. J. Surf. Investig. 8, 422–428 (2014). https://doi.org/10.1134/S1027451014030112
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DOI: https://doi.org/10.1134/S1027451014030112