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Figure 10
Multiple scattering in MS. (a) Distance [\zeta^{({\rm MS})}] to the Ewald paraboloid (solid curve) as represented by MS and distance [\zeta^{({\rm BW})}] to the Ewald sphere (dashed curve), known as the excitation error in the Bloch wave theory. Point P is the projection of reciprocal point (un,wn) onto the Ewald paraboloid. (b) Multiple scattering in reciprocal space for N = 3 slices located at z1,z2,z3. In this example, the beam is scattered in the first slice at z1 in direction (h1,0) = (2,0). Then, at slice z2, it scatters in direction (h2,0) = (1,0), which results in an overall scattering of the original beam in (h1+h2,0) = (3,0). Finally, at the last slice zN = z3, deflection is in direction (hN,0) = (2,0). Therefore, the overall scattering for this example corresponds to a contribution to reflection (h1+h2+h3,0) = (5,0) in the diffraction pattern. The open blue circles show how to interpret the successive excitation errors [\zeta_{i}].

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ISSN: 2053-2733
Volume 79| Part 2| March 2023| Pages 180-191
https://doi.org/10.1107/S2053273322011779
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