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The first results of the theory of the behaviour of standing waves in curved crystals are presented. The proposed theory is based on the Taupin theory of dynamical X-ray diffraction in curved crystals and the theory of the secondary radiation yield in deformed crystals. This theory is applied for calculation of the angular dependence of the secondary emission yield in a cylindrically bent Si(400) monocrystal, Cu Kalpha radiation. Processes with different depth of secondary emission yield, i.e. photoemission (Lyi=0.1 mu m) and fluorescence (Lyi=70 mu m) are considered. The behaviour of the reflection coefficient and standing waves in the bulk of the curved crystal is investigated. The standing wave intensities in the depth of the curved crystal show much more sensitivity to the phaseshift than in the perfect one. This fact can be used for the investigation of thin layers of impurity atoms embedded in the crystal matrix.

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