Polylogarithmic Structure of Bragg Diffraction in Finite-Coherence Lattices (opens in new tab)

We develop a polylogarithmic structure for Bragg diffraction based on a weighted multi-plane interference model. Within this kind of construction, the scattering amplitude is expressed as a polylogarithmic generating function. By introducing extra contributions with power-law and the usual exponential decay, it takes the form $F(\theta) = \mathrm{Li}_m\left(e^{i\theta_{\mathrm{eff}} - \epsilon}\right)$, where $\epsilon$ is a finite coherence len...