X-ray and gamma-ray propagation in bent crystals with flat and cylindrical surfaces.
In this paper, X-ray and gamma-ray propagation in crystals having a constant strain gradient and flat or cylindrical surfaces is investigated. When a displacement field is present, the Takagi-Taupin equations are solved either by the Riemann-Green method or by a numerical method. The results are applied to study the operation of a double-crystal Laue-Laue diffractometer having a flat collimating crystal followed by a bent analyzer crystal. In particular, the effect of the analyzer strain on the location of the diffraction peaks in the dispersive and non-dispersive set-up is examined, thus confirming the previously reported peak location as being set only by the diffracting-plane spacing on the analyzer entrance surface.
Apolloni
A
A
Università di Torino, Dipartimento di Fisica Generale A. Avogadro, via P. Giuria 1, Torino, Italy. apolloni@vbi.vt.edu
Mana
G
G
Palmisano
C
C
Zosi
G
G
D003460:Crystallization; D005720:Gamma Rays; D008962:Models, Theoretical; D013499:Surface Properties; D014965:X-Rays