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On the radiation of a planar undulator with constant magnetic field on its axis taken into account

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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

  1. I. M. Ternov and V. V. Mikhailin, Synchrotron Radiation. Theory and Experiment (Energoatomizdat, Moscow, 1986) [in Russian].

    Google Scholar 

  2. 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).

    Google Scholar 

  3. L. A. Artsimovich and I. Ya. Pomeranchuk, Zh. Eksp. Teor. Fiz. 16, 379 (1946).

    Google Scholar 

  4. A. A. Sokolov and I. M. Ternov, The Relativistic Electron (Nauka, Moscow, 1974) [in Russian].

    Google Scholar 

  5. D. F. Alferov, Yu. A. Bashmakov, and E. G. Bessonov, Sov. Phys. Tech. Phys. 17, 1540 (1973).

    Google Scholar 

  6. I. M. Ternov, Phys. Usp. 38, 409 (1995).

    Article  Google Scholar 

  7. E. L. Saldin, E. A. Schneidmiller, and M. V. Yurkov, The Physics of Free Electron Lasers (Springer, Berlin, 2000).

    Book  Google Scholar 

  8. E. N. Rogozin and I. I. Sobel’man, Phys. Usp. 47, 195 (2004).

    Article  Google Scholar 

  9. J. Feldhaus and B. Sonntag, Springer Ser. Opt. Sci. 134, 91 (2009).

    Article  Google Scholar 

  10. A. A. Zholents, Laser Phys. 15, 855 (2005).

    Google Scholar 

  11. V. V. Mikhailin, Synchrotron Radiation in Spectroscopy (Universitetskaya kniga, Moscow, 2011) [in Russian].

    Google Scholar 

  12. E. G. Bessonov, Proc. SPIE 6634, 66340X (2007).

    Article  Google Scholar 

  13. D. F. Alferov, Yu. A. Bashmakov, and P. A. Cherenkov, Sov. Phys. Usp. 32, 200 (1989).

    Article  Google Scholar 

  14. K. V. Zhukovskii and V. V. Mikhailin, Vestn. Mosk. Univ., Fiz. Astron., No. 2, 41 (2005).

    Google Scholar 

  15. G. Dattoli, V. V. Mikhailin, P. L. Ottaviani, and K. V. Zhukovsky, J. Appl. Phys. 100, 084507-1 (2006).

    Article  Google Scholar 

  16. G. Dattoli, V. V. Mikhailin, and K. V. Zhukovsky, J. Appl. Phys. 104, 124507-1 (2008).

    Google Scholar 

  17. D. Dattoli, K. V. Zhukovskii, and V. V. Mikhailin, Vestn. Mosk. Univ., Fiz. Astron., No. 5, 33 (2009).

    Google Scholar 

  18. K. Zhukovsky, Synchrotron: Design, Properties and Applications (Nova Science, USA, 2012).

    Google Scholar 

  19. J. D. Jackson, Classical Electrodynamics, 2nd ed. (Wiley, New York, 1975).

    Google Scholar 

  20. P. V. Vagin, U. Englisch, T. Müller, et al., J. Surf. Invest.: X-Ray, Synchrotr. Neutron Tech. 6, 1055 (2011).

    Article  Google Scholar 

  21. V. N. Korchuganov, N. Yu. Sveshnikov, N. V. Smolyakov, and S. I. Tomin, J. Surf. Invest.: X-Ray, Synchrotron Neutron Tech. 4, 891 (2010).

    Article  Google Scholar 

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Correspondence to V. V. Mikhailin.

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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

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