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We present a general analytic approach to spatially resolve the nano-scalelattice distortion field of strained and defected compact crystals with Braggcoherent x-ray diffraction imaging (BCDI). Our approach relies on fitting adifferentiable forward model simultaneously to multiple BCDI datasetscorresponding to independent Bragg reflections from the same single crystal. Itis designed to be faithful to heterogeneities that potentially manifest asphase discontinuities in the coherently diffracted wave, such as latticedislocations in an imperfect crystal. We retain fidelity to such small featuresin the reconstruction process through a Fourier transform -based resamplingalgorithm designed to largely avoid the point spread tendencies of commonlyemployed interpolation methods. The reconstruction model defined in this mannerbrings BCDI reconstruction into the scope of explicit optimization driven byautomatic differentiation. With results from simulations and experimentaldiffraction data, we demonstrate significant improvement in the final imagequality compared to conventional phase retrieval, enabled by explicitlycoupling multiple BCDI datasets into the reconstruction loss function.

A differentiable forward model for the concurrent, multi-peak Bragg coherent x-ray diffraction imaging problem