Abstract
The MOI (Mutual Optical Intensity) code for propagating partially coherent radiation through beamline optics is updated by including the in-plane wavevector in the wavefield calculation. The in-plane wavevector is a local function and accurately describes the average phase distribution in a partially coherent wavefield. The improved MOI code is demonstrated by beam propagation through free space and non-ideal mirrors. The improved MOI code can provide more accurate results with lower numbers of elements, and thus has a higher calculation efficiency. Knowledge of the in-plane wavevector also enables detailed studies of wavefield information under different coherence conditions. The improved MOI code is available at http://www.moixray.cn.
Highlights
IntroductionThe rapid development of synchrotron radiation technologies has led to orders-of-magnitude increases in the brilliance and spatial coherence of X-ray sources, which in turn have led to the development of many experimental techniques using radiation coherence, such as coherent diffraction imaging (Whitehead et al, 2009; Liang et al, 2015), X-ray lithography (Zhang et al, 2014; Achenbach et al, 2018), X-ray holography (Schaffert et al, 2013; Robisch et al, 2016) and X-ray photon correlation spectroscopy (Stephenson et al, 2009)
SHADOW3 stores the phase for each ray and sums the coherent rays to simulate the propagation of partially coherent light (Sanchez del Rio et al, 2011)
The mutual optical intensity is a non-local and two-point function which depends on two independent points in the transverse plane and needs much more memory to describe the phase distribution information than the in-plane wavevector
Summary
The rapid development of synchrotron radiation technologies has led to orders-of-magnitude increases in the brilliance and spatial coherence of X-ray sources, which in turn have led to the development of many experimental techniques using radiation coherence, such as coherent diffraction imaging (Whitehead et al, 2009; Liang et al, 2015), X-ray lithography (Zhang et al, 2014; Achenbach et al, 2018), X-ray holography (Schaffert et al, 2013; Robisch et al, 2016) and X-ray photon correlation spectroscopy (Stephenson et al, 2009). We developed the MOI code, based on statistical optics, to calculate the propagation of the mutual optical intensity through beamline optics (Meng et al, 2015). In the original MOI code it was assumed that, within each element of the calculation grid, the wavefield is fully coherent with a constant amplitude and phase. This assumption is easy to satisfy as long as the element is much smaller than the beam and the coherence length. We have updated the MOI code by considering the phase distribution inside each element and calculating the onedimensional propagation of mutual optical intensity. The current version is V1.01, which can calculate the one-dimensional propagation of mutual optical intensity through a synchrotron radiation beamline
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