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Assemblies of hollow capillary tubes, termed ‘‘Kumakhov optics,’’ can be used to control x rays for a large variety of applications. Measurements of x‐ray transmission in polycapillary glass tubes were performed for the purpose of understanding their behavior in such devices. X‐ray transmission was measured for straight, uniformly curved, and nonuniformly bent fibers. The data agree well with a computer simulation based on classical ray tracing.