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Through phase‐space analysis of Dumond diagrams for a flat Bragg crystal, a single bent Laue crystal and a monochromator consisting of double‐bent Laue crystals, this work shows that it is possible to match the flat Bragg crystal to both the single‐crystal and double‐crystal Laue monochromators. The matched system has the advantage that the phase space of the bent crystal's output beam is much larger than that of the flat crystal, making the combined system stable. Here it is suggested that such a matched system can be used at synchrotron facilities to realize X‐ray dark‐field imaging, analyzer‐based imaging and diffraction‐enhanced imaging at beamlines using double‐Laue monochromators. [ABSTRACT FROM AUTHOR]