Incorporation of interfacial roughness into recursion matrix formalism of dynamical X-ray diffraction in multilayers and superlattices

Diffraction in multilayers in the presence of interfacial roughness is studied theoretically, the roughness being considered as a transition layer. Exact (within the framework of the two-beam dynamical diffraction theory) differential equations for field amplitudes in a crystalline structure with va...

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Veröffentlicht in:Journal of applied crystallography. - 1998. - 50(2017), Pt 3 vom: 01. Juni, Seite 681-688
1. Verfasser: Lobach, Ihar (VerfasserIn)
Weitere Verfasser: Benediktovitch, Andrei, Ulyanenkov, Alexander
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 2017
Zugriff auf das übergeordnete Werk:Journal of applied crystallography
Schlagworte:Journal Article dynamical diffraction interfacial roughness multilayers recursion matrix formalism transition layers
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520 |a Diffraction in multilayers in the presence of interfacial roughness is studied theoretically, the roughness being considered as a transition layer. Exact (within the framework of the two-beam dynamical diffraction theory) differential equations for field amplitudes in a crystalline structure with varying properties along its surface normal are obtained. An iterative scheme for approximate solution of the equations is developed. The presented approach to interfacial roughness is incorporated into the recursion matrix formalism in a way that obviates possible numerical problems. Fitting of the experimental rocking curve is performed in order to test the possibility of reconstructing the roughness value from a diffraction scan. The developed algorithm works substantially faster than the traditional approach to dealing with a transition layer (dividing it into a finite number of thin lamellae). Calculations by the proposed approach are only two to three times longer than calculations for corresponding structures with ideally sharp interfaces 
650 4 |a Journal Article 
650 4 |a dynamical diffraction 
650 4 |a interfacial roughness 
650 4 |a multilayers 
650 4 |a recursion matrix formalism 
650 4 |a transition layers 
700 1 |a Benediktovitch, Andrei  |e verfasserin  |4 aut 
700 1 |a Ulyanenkov, Alexander  |e verfasserin  |4 aut 
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