Summary
In this paper we discuss the modifications to the undulator brightness and central wavelength expressions due to the low-energy effects and to the inclusion of the sextupolar magnetic-field components. The corrections are calculated up to the order (K/γ)4. The mathematical details are simplified by the use of generalized Bessel functions.
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G. Dattoli, L. Giannessi, L. Mezi, M. Richetta andA. Torre:Phys. Rev. A,45, 4023 (1992);G. Dattoli, L. Giannessi, C. Mari, M. Richetta andA. Torre:J. Math. Phys.,33, 1200 (1992).
J. D. Jackson:Classical Electrodynamics (Wiley, New York, N.Y., 1975), p. 677.
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Dattoli, G., Galli, M., Giannessi, L. et al. Linear undular brightness: Sextupolar magnetic-field contributions and higher-orders energy corrections for low-energy electron beams. Nuov Cim B 107, 1135–1142 (1992). https://doi.org/10.1007/BF02727198
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DOI: https://doi.org/10.1007/BF02727198