Open AccessUniversal function for the brilliance of undulator radiation considering the energy spread effect
Author(s) -
Tanaka Takashi,
Kitamura Hideo
Publication year - 2009
Publication title -
journal of synchrotron radiation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.172
H-Index - 99
ISSN - 1600-5775
DOI - 10.1107/s0909049509009479
Subject(s) - undulator , thermal emittance , physics , radiation , optics , convolution (computer science) , function (biology) , divergence (linguistics) , radiation properties , energy (signal processing) , computational physics , beam (structure) , quantum mechanics , computer science , linguistics , philosophy , machine learning , evolutionary biology , artificial neural network , biology
Angular and spatial profiles of undulator radiation have been investigated to derive a universal function that evaluates the brilliance of undulator radiation and takes into account the effects of electron beam emittance and energy spread. It has been found that the effects of energy spread on the angular divergence and source size can be expressed by simple analytic expressions, and a universal brilliance function has been derived by convolution with the electron beam distribution functions. Comparisons with numerical results have been carried out to show the validity and applicability of the universal function.