Abstract
In this chapter I will present some useful calculations for setting up the experiment. First the signal-to-noise ratio (the inverse of the relative standard error of the fitted correlation time) is computed as a function of the number of counts per pixel, the coherence factor, and the correlation time, leading to the identification of the product of intensity and coherence factor as the figure-of-merit. In the second section the optimization of the beamline set-up with regard to this figure-of-merit is discussed.
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Notes
- 1.
This is the difference from X-ray sources of the fourth generation (X-ray free electron lasers), where the electric field generated by the electrons feeds back and bunches the electrons, enforcing the phase relation.
- 2.
In the scatterer’s language the argument is that we are not in the forward direction.
- 3.
References
J. Als-Nielsen, D. McMorrow, Elements of Modern X-ray Physics (Wiley, Chichester, 2001)
C.G. Darwin, The theory of X-ray reflexion. Philos. Mag. 27, 675 (1914)
P. Falus, L.B. Lurio, S.G.J. Mochrie, Optimizing the signal-to-noise ratio for X-ray photon correlation spectroscopy. J. Synchrotron Rad. 13, 253 (2006)
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© 2012 Springer-Verlag Berlin Heidelberg
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Leitner, M. (2012). Considerations Concerning the Experiment. In: Studying Atomic Dynamics with Coherent X-rays. Springer Theses. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24121-5_6
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DOI: https://doi.org/10.1007/978-3-642-24121-5_6
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