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Figure 5
Direct transformation of the recorded ToF spectra S(2ϑ = 22°, E) into the time domain. (a) The transformed ToF spectrum of FOCUS with increasing number of corrections for direct comparison with the RESEDA data (circles). The simplest case uses the SE approximation [equation (9)[link]] and results in the blue curve. The orange curve is obtained by transforming the energy spectrum with equation (21)[link], which reproduces quite accurately the frequency of the oscillations visible in the RESEDA data. The green line includes the energy-dependent detection efficiency of the CASCADE detector, which now gives the correct amplitude of the oscillations. Comparing this last with the MIEZE data, at high frequencies the transformed ToF data decay faster and at medium frequencies the contrast is about 0.05 lower than expected. (b) A visual­ization of the effect of adding (red line) or subtracting (purple line) a constant background to the FOCUS data before applying the trans­formation, leading to a downward or upward shift compared with the original curve, respectively. (c) A comparison of the RESEDA data (circles) with the Fourier transforms of the different ToF data sets. The data measured with the same sample cell as RESEDA (green line, measured on FOCUS) match the RESEDA data much better than the data recorded in a much thinner hollow cylinder (brown line, measured on TOFTOF), emphasizing the impact of sample thickness and multiple scattering.

Journal logoJOURNAL OF
APPLIED
CRYSTALLOGRAPHY
ISSN: 1600-5767
Volume 58| Part 4| August 2025| Pages 1122-1137
https://doi.org/10.1107/S1600576725003620
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