Fig. 4: Extracting the angular and the autocorrelation length dependence of the dark-field signal. | Communications Physics

Fig. 4: Extracting the angular and the autocorrelation length dependence of the dark-field signal.

From: Characterization of oriented microstructures through anisotropic small-angle scattering by 2D neutron dark-field imaging

Fig. 4

a Dark-field (DFI) real-space correlation function expressed as a function of the angle ω from 0° to 360° and the autocorrelation length ξ from 20 nm to 670 nm. The color coded boxes highlight the cross-sections at four different autocorrelation lengths: 0.04 μm in blue, 0.09 μm in pale green, 0.26 μm in orange and 0.51 μm in red. b Angular dependence of the DFI signal for the four different color coded autocorrelation lengths depicted in a. The corresponding error bars are the standard error of the mean. Note the nonsinusoidal behavior of the orange and the red lines. The dashed black lines are model fits to the measured values. c Extracted real-space correlation function for the infinitely long cylinder model. The blue points have been used for the fitting while the orange ones have been rejected due to the saturation of the signal, clearly visible by the horizontal asymptotic behavior in the logarithm plot. The inset shows the DFI experimental points and the fitted model. The analysis refers to the 120° fibers orientation case.

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