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2014-04-29

Inhomogeneous and Homogeneous Losses and Magnetic Field Effect in Planar Undulator Radiation

By Konstantin V. Zhukovsky
Progress In Electromagnetics Research B, Vol. 59, 245-256, 2014
doi:10.2528/PIERB14020404

Abstract

We construct an analytical model for the description of emission of undulator radiation (UR) harmonics with account for several sources of line broadening, including the effect of a constant magnetic constituent. We compare it with that of the beam energy spread, emittance and focusing components. The analytical expressions obtained for the UR intensity and spectrum allow for profound analysis of homogeneous and inhomogeneous losses in their explicit form. We analyse the contributions to the fundamental frequency as well as to higher harmonics in long undulators. We study a possibility to compensate for the off-axis effects in undulators by a properly imposed constant magnetic field and obtain an expression for the intensity of such compensating effect. The results obtained are discussed in the context of their possible applications to free electron lasers (FEL). Recommendations for improvement of an UR harmonic line quality, profitable for FEL, are also proposed.

Citation


Konstantin V. Zhukovsky, "Inhomogeneous and Homogeneous Losses and Magnetic Field Effect in Planar Undulator Radiation," Progress In Electromagnetics Research B, Vol. 59, 245-256, 2014.
doi:10.2528/PIERB14020404
http://jpier.org/PIERB/pier.php?paper=14020404

References


    1. Ivanenko, D. D. and I. A. Pomeranchuk, "On the maximal energy, obtainable in a betatron," Phys. Rev., Vol. 65, 343, 1944.
    doi:10.1103/PhysRev.65.343

    2. Elder, F. R., A. M. Gurewitsch, R. V. Langmuir, and H. C. Pollock, "Radiation from electrons in a synchrotron," Phys. Rev., Vol. 71, 829, 1947.
    doi:10.1103/PhysRev.71.829.5

    3. Ivanenko, D. D. and A. A. Sokolov, "On the theory of the `luminous' electron," Doklady Akademii Nauk SSSR, Vol. 59, 1551, 1948.

    4. Schwinger, J., "On the classical radiation of accelerated electrons," Phys. Rev., Vol. 75, 1912, 1949.
    doi:10.1103/PhysRev.75.1912

    5. Schott, G. A., Electromagnetic Radiation and the Mechanical Reactions Arising from It, Cambridge University Press, New York, 1912.

    6. Milton, , K. A. and J. Schwinger, Electromagnetic Radiation: Variational Methods, Wave-guides and Accelerators, 360p, Springer, 2006.

    7. Schwinger, J., W.-Y. Tsai, and T. Erber, "On the classical radiation of accelerated electrons," Annals of Physics, Vol. 96, 303, 1976.
    doi:10.1016/0003-4916(76)90194-9

    8. Sokolov, A. A. and I. M. Ternov, Synchrotron Radiation, Academie Verlag, Berlin, 1968.

    9. Ginzburg, V. L., "On the radiation of microradiowaves and their absorbtion in the air," Isvestia Akademii Nauk SSSR, Vol. 11, No. 2, 165, Fizika, 1947.

    10. Motz, H., W. Thon, and . N. J. Whitehurst, "Experiments on radiation by fast electron beams," Appl. Phys., Vol. 24, 826, 1953.
    doi:10.1063/1.1721389

    11. Artcimovich, A. L. and I. J. Pomeranchuk, "Radiation from fast electrons in a magnetic field," JETP, Vol. 16, 1, 1946.

    12. Ternov, I. M., V. V. Mikhailin, and V. R. Khalilov, Synchrotron Radiation and Its Applications, Moscow, 1980.

    13. Bordovitsyn, V. A., "Synchrotron Radiation Theory and Its Development: In the Memory of I. M. Ternov," Series on Synchrotron Radiation Technique and Applications, Vol. 5, World Scientific Publishing, Singapore, 1999.
    doi:10.1142/9789812816993_0001

    14. Sokolov, A. A., D. V. Gal'tsov, and V. C. Zhukovsky, "Radiation from electrons, moving along spiral orbits with relativistic longitudinal velocity," Zh. Tekhn. Fiz., Vol. 43, 682, 1973 (in Russian).

    15. Koch, E. E., Handbook of Synchrotron Radiation, North Holland, Amsterdam, 1983.

    16. Tripathi, S. and G. Mishra, "Three frequency undulator radiation and free electron laser gain," Rom. Journ. Phys., Vol. 56, No. 3-4, 411, 2011.

    17. Alferov, D. F., U. A. Bashmakov, and P. A. Cherenkov, "Radiation from relativistic electrons in a magnetic undulator," Uspehi Fis. Nauk, Vol. 157, No. 3, 389, 1989.
    doi:10.3367/UFNr.0157.198903b.0389

    18. Iracane, D. and P. Bamas, "Two-frequency wiggler for better control of free-electronlaser dynamics," Phys. Rev. Lett., Vol. 67, 3086, 1991.
    doi:10.1103/PhysRevLett.67.3086

    19. Feldhaus, J. and B. Sonntag, Strong Field Laser Physics, Vol. 134, 91, Springer Series in Optical Sciences, 2009.
    doi:10.1007/978-0-387-34755-4_5

    20. Zholents, A. A., "Attosecond X-ray pulses from free-electron lasers," Laser Physics, Vol. 15, No. 6, 855, 2005.

    21. Zhukovsky, K. V. and V. V. Mikhailin, "Two-frequency undulator and harmonic generation by an ultrarelativistic electron," Moscow University Physics Bulletin c/c of Vestnik-Moscovskii Universitet Fizika I Astronomiia, Vol. 60, No. 2, 50, 2005.

    22. Dattoli, G., V. Mikhailin, P.-L. Ottaviani, and K. Zhukovsky, "Two-frequency undulator and harmonic generation by an ultrarelativistic electron," J. Appl. Phys., Vol. 100, 084507, 2006.
    doi:10.1063/1.2357841

    23. Zhukovsky, K., "Undulator radiation in multiple magnetic fields," Synchrotron: Design, Properties and Applications, 39, Nova Science Publishers, Inc., USA, 2012.

    24. Reiss, H. R., "Effect of an intense electromagnetic field on a weakly bound system," Phys. Rev., Vol. A22, 1786, 1980.

    25. Walker, R. P., "Interference effects in undulator and wiggler radiation sources," Nucl. Instrum. Methods, Vol. A335, No. 328, 1993.

    26. Onuki, H. and P. Elleaume, Undulators, Wigglers and Their Applications, Taylor & Francis, New York, 2003.
    doi:10.4324/9780203218235

    27. Dattoli, G., V. V. Mikhailin, and K. Zhukovsky, "Undulator radiation in a periodic magnetic fieldwith a constant component," Journal of Applied Physics, Vol. 104, 124507, 2008.
    doi:10.1063/1.3039094

    28. Dattoli, G., V. V. Mikhailin, and K. V. Zhukovsky, "In°uence of a constant magnetic field on the radiation of a planar undulator," Moscow University Physics Bulletin, Vol. 64, No. 5, 507, 2009.
    doi:10.3103/S0027134909050087

    29. Landau, L. D. and E. M. Lifshits, The Classical Theory of Fields, 4th Ed., Pergamon, New York, 1975.

    30. Jackson, J. D., Classical Electrodynamics, 2rd Ed., Wiley, New York, 1975.

    31. Mikhailin, V. V., K. V. Zhukovskii, and A. I. Kudyukova, "On the radiation of a planar undulator with constant magnetic field on its axis taken into account," J. Surf. Invest.: X-Ray, Synchrotron Neutron Tech., Vol. 8, No. 3, 422, 2014.

    32. Dattoli, G., Lectures on Free Electron Lasers, World Scientific, 1993.

    33. Korchuganov, V. N., N. Yu. Sveshnikov, N. V. Smolyakov, and S. I. Tomin, "Special-purpose radiation sources based on the Siberia-2 storage ring," J. Surf. Invest.: X-Ray, Synchrotron Neutron Tech., Vol. 4, No. 6, 891, 2010.
    doi:10.1134/S1027451010060030