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Figure 8
Interference patterns resulting from multiple-particle scattering, for the cases of (a) randomly positioned particles, (b) aggregated particles, (c) particles repelling each other and (d) a hexagonal crystalline structure. In each case, a typical phase map is shown with the particles in grey. In the complex-plane representation of wave amplitude, the contribution of each particle is shown as a black arrow and the resulting wave amplitude is in red. The grey annular area is the 50% confidence interval for the wave amplitude in the case where each particle has a random phase (incoherent scattering), and the dashed circle is the root-mean-square value.

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