Interpretation of interference patterns obtained from X-ray Laue interferometers in primary plane waves

Abstract

The situations leading to the emergence of Moire patterns in X-ray interferometers and the dependence of the period of these Moire patterns on the wavelength and the order of reflection are investigated. The definite conditions of the emergence of Moire patterns are elaborated. It is demonstrated, that not all the rotations of the reflecting planes and not all the differences in interplanar spacings in interferometers lead to the formation of Moire patterns. It is shown also, that the period of Moire patterns inside the crystal does not depend on the wavelength, whereas outside the crystal, this dependence is of a periodic character. The period is reduced along with an increase in the order. &'fCCJleAORaHbI CHTYaUHH, IIpHBOAJlrrlHe K B03HHKHOBeHHlO MyapOBbIX HapTHH B peHTre-HOBCKHX HHTep@epOMeTpaX H 3aBHCHMOCTb IlepHOAa BTHX MyapOBbIX HaPTHH OT AJIkiHbI BOJIHbI H IIOpRAKa OTpalKeHIIR. Pa3pa6OTaHbI OAH03Ha4HbIe IIPH3HaKH B03HHKHOBeHMII MyapOBbIX KBPTIIH. nOKa3aH0, 4 T O He BCe IIOBOPOTbI OTpalKaIo~IIX IIJlOCKOCTe8 II He BCe pa3HOCTki MelKIIJIOCKOCTHbIX PaCCTORHH8 B HHTep@epOMeTpaX IIpHBOART K B03HHK-HOBBHHH) MyapOBbIX IcapTHH. nOKa3aHO TaHlKe, 9 T O IIepIIOA MyapOBbIX KapTHH BHyTPH KpHCTaJIJla He 3aBHCHT OT AJIHHbI BOJIHbI, a BHe KpHCTaJIJla -3Ta 3aBHCHMOCTb HMeeT nepHoAHsecmit4 xapamep. C yBenmsemeM nopmwa oTpameHMR nepHoE yMeHbmaeTcsr. l ) Mravyan 1, SU-375049 Erevan, USSR. 2, Dedicated to Prof. U. Bonse on the occasion of his 60th birthday. 24.

Interferometric Method for Determination of X–ray Train Length

“…It is known [1][2][3][4] that for calculation of scattered wave intensity and diffraction widths of spectral lines it is necessary first to find out the relation of X-ray train length to dimensions of perfection areas of single crystals. The wave train is defined as the vibration of the form described at some length by a simple sinusoidal curve (with constant or slightly varying amplitude), the amplitude of which is zero outside this length.…”

X-ray crystal interferometers

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