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A) Transmitted beam; (b) scattered beam. I apparently contradictory result is due to the fact that normal absorption was neglected: the latter would reduce this sum to a value smaller than 1. 1 Introduction We shall consider two types of interfaces: (i) interfaces for which the displacement field is a step function (stacking fault, antiphase boundaries, shear planes); (ii) interfaces for which the displacement function can be approximated by a linear function (twins, domain boundaries). , sgl = sg2 and the same g vector is active in both parts.
5 Contrast at Planar Interfaces: Two-Beam Dynamic Theory — s, we can write for the transmission matrix of the rear part T2 S 2 "exp(ia)\ S2 exp (— i a) T2 ) (1-141) with T2 = T(z2,s2); S2 = S(z2,s2); T2~ = T(z2, -s2); S2 = S(z2,-s2) The matrix Eq. 3 Vacuum Matrix Certain crystal slabs may be non-reflecting under the diffraction conditions prevailing in the rest of the foil; they then behave as a vacuum lamella. This behaviour is apparent for instance for a thin lamella of twinned material if a non-common reflection is active in the matrix.
1-19. This geometric locus, consisting of two sheets, is called the dispersion surface. Only the part of the surface close to the Brillouin zone boundary of g is of interest for our discussion. A planar section of this part of the surface is represented in Fig. 1-19. , are Bloch waves. Among these potential waves only those which satisfy the boundary conditions will be actually excited. These conditions require the continuity of the wave functions and of their derivatives at the entrance face. It can Figure 1-19.