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The displacement field in highly non uniformly strained crystals is obtainedby addition of constraints to an iterative phase retrieval algorithm. Theseconstraints include direct space density uniformity and also constraints to thesign and derivatives of the different components of the displacement field.This algorithm is applied to an experimental reciprocal space map measuredusing high resolution X-ray diffraction from an array of silicon lines and theobtained component of the displacement field is in very good agreement with theone calculated using a finite element model.Comment: 5 pages, 4 figure

Inversion of the diffraction pattern from an inhomogeneously strained crystal using an iterative algorithm