No. 1107

Title:

Rocking Curves Computed from X-ray Section Topographs by Fast Fourier Transform

Author(s):

Ishiwata, Gen (School of Multidisciplinary Science, The Graduate University for Advanced Studies (SOKENDAI),The Institute of Statistical Mathematics (ISM));
Okitsu, Kouhei (Nano-Engineering Research Center, Institute of Engineering Innovation,Graduate School ofEngineering, The University of Tokyo);
Ishiguro, Makio (School of Multidisciplinary Science, The Graduate University for Advanced Studies (SOKENDAI),The Institute of Statistical Mathematics (ISM))

Key words:

X-ray diffraction, Takagi-Taupin equation, fast Fourier transform, Ewald-Laue

Abstract:

    The Ewald-Laue theory is an X-ray dynamical theory that gives X-ray diffraction profiles (rocking curves) with a perfect crystal. The present paper shows that the Fourier transform of solution of the Takagi-Taupin equation obtained with a condition of spherical-wave X-ray incidence gives a rocking curve that can be derived from the Ewald-Laue dynamical theory, which gives an evidence of the equivalence between the Ewald-Laue and Takagi-Taupin dynamical diffraction theories from a new point of view. This technique may give a breakthrough to the method to calculate rocking curves in $n$-beam ($n \ge 3$) conditions, which the present authors are aiming at.