Abstract
By exploiting analogical optical modeling of the radiation emitted by ultrarelativistic electrons undergoing betatron oscillations, we demonstrate peculiar properties of the spatial coherence through an interferometric method reminiscent of the classical Young's double slit experiment. The expected effects due to the curved trajectory and the broadband emission are accurately reproduced. We show that by properly scaling the fundamental parameters for the wavelength, analogical optical modeling of betatron emission can be realized in many cases of broad interest. Applications to study the feasibility of future experiments and to the characterization of beam diagnostics tools are described.
Highlights
The development of radiation sources based upon the emission by ultrarelativistic electrons on curved trajectories has generated great interest in the scientific community
The spatial coherence features of radiation can be properly measured in Free Electron Laser (FEL) [2] and undulators with different technique when a quasi-monochromatic condition is obtained
We have devised particular features of the transverse coherence of broad spectrum radiation emitted by ultrarelativistic electrons undergoing betatron oscillations [6]
Summary
The development of radiation sources based upon the emission by ultrarelativistic electrons on curved trajectories has generated great interest in the scientific community. In [6] we have shown that if the reference point X0 is properly displaced from the average motion axis, the radiation obtained from the numerical simulations shows a characteristic asymmetry It depends on the elongation and curvature of the particle trajectories, so that it gives statistical information about the dynamics of electrons undergoing oscillatory motions, with direct applications in particle beams and radiation source diagnostics. The method presented here and the corresponding data analysis are limited to optical sources, but it represents a more general approach for the measurement of the asymmetric properties of coherence up to soft x-rays range In this sense the results are beneficial and reproduce, through the optical analogy, the coherence properties of betatron radiation. We collect our conclusions and discuss current and future applications of the method
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