Brightness of synchrotron radiation from undulators and bending magnets

Journal of Synchrotron Radiation
Gianluca GeloniEvgeni Saldin

Abstract

The maximum of the Wigner distribution (WD) of synchrotron radiation (SR) fields is considered as a possible definition of SR source brightness. Such a figure of merit was originally introduced in the SR community by Kim [(1986), Nucl. Instrum. Methods Phys. Res. A, 246, 71-76]. The brightness defined in this way is always positive and, in the geometrical optics limit, can be interpreted as the maximum density of photon flux in phase space. For undulator and bending magnet radiation from a single electron, the WD function can be explicitly calculated. In the case of an electron beam with a finite emittance the brightness is given by the maximum of the convolution of a single electron WD function and the probability distribution of the electrons in phase space. In the particular case when both electron beam size and electron beam divergence dominate over the diffraction size and the diffraction angle, one can use a geometrical optics approach. However, there are intermediate regimes when only the electron beam size or the electron beam divergence dominate. In these asymptotic cases the geometrical optics approach is still applicable, and the brightness definition used here yields back once more to the maximum photon flux density...Continue Reading

References

Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·Y Takayama, S Kamada

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Citations

Sep 5, 2018·Journal of Synchrotron Radiation·Gianluca GeloniEvgeni Saldin
Nov 14, 2019·Journal of Synchrotron Radiation·R KhubbutdinovI A Vartanyants
Jul 6, 2019·Journal of Synchrotron Radiation·Rafael AbelaRomain Ganter

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