Daillant J., Gibaud A. (Eds.) X-ray and Neutron Reflectivity: Principles and Applications

Lect. Notes Phys.
770. — Springer, Berlin Heidelberg, 2009. — DOI 10.1007/978-3-540-88588-
7. — ISBN: 978-3-540-88587-0.The Interaction of X-Rays (and Neutrons) with Matter
F. de BergevinGeneralities and Definitions
From the Scattering by an Object to the Propagation in a Medium
X-Rays
X-Rays: Anisotropic Scattering
A Appendix: the Born ApproximationStatistical Aspects of Wave Scattering at Rough Surfaces
A. Sentenac and J. DaillantDescription of Randomly Rough Surfaces
Description of a Surface Scattering Experiment, Coherence
Domains
Statistical Formulation of the Diffraction Problem
Statistical Formulation of the Scattered Intensity Under the Born ApproximationSpecular Reflectivity from Smooth and Rough Surfaces
A. Gibaud and G. Vignaud
The Reflected Intensity from an Ideally Flat Surface
X-Ray Reflectivity in Stratified Media
From Dynamical to Kinematical Theory
Influence of the Roughness on the Matrix Coefficients
A Appendix: The Treatment of Roughness in Specular Reflectivity
B Appendix: Inversion of reflectivity dataDiffuse Scattering
J. Daillant, S. Mora and A. Sentenac
Differential Scattering Cross-Section for X-Rays
First Born Approximation
Distorted Wave Born Approximation
From the Scattering Cross-Section to the Scattered Intensity
Examples
A Appendix: The Reciprocity Theorem
B Appendix: Verification of the Integral Equation in the Case of the Reflection by a Thin Film on a Substrate
C Appendix: Interface Roughness in a Multilayer Within the Born Approximation
D Appendix: Quantum Mechanical Approach of Born and Distorted-Wave Born ApproximationsNeutron Reflectometry
C. Fermon, F. Ott and A. MenelleSchrodinger Equation and Neutron–Matter Interactions
Reflectivity on Non-Magnetic Systems
Neutron Reflectivity on Magnetic Systems
Non-Perfect Layers, Practical Problems and Experimental Limits
The Spectrometers
Non-Magnetic Reflectivity
Polarized Neutron Reflectometry on Magnetic Systems
Off-Specular Scattering
Grazing Incidence Scattering
Conclusion on Neutron ReflectometryX-Ray Reflectivity by Rough Multilayer
T. Baumbach and P. MikulıkDescription of Rough Multilayers
Set-Up of X-Ray Reflectivity Experiments
Specular X-Ray Reflection
Non-Specular X-Ray Reflection
Interface Roughness in Surface-Sensitive Diffraction Methods
X-Ray Reflection from Multilayer Gratings
A Appendix: Reciprocal Space Constructions for ReflectivityGrazing Incidence Small-Angle X-Ray Scattering from Nanostructures
R. LazzariThe GISAXS Scattering Geometry
Scattering from Density Inhomogeneities in DWBA: The Case of Isolated Particles
Scattering from Collections of Particles
Experimental Considerations in GISAXS
Examples of GISAXS Experiments in Hard Condensed Matter: Islands on Surfaces
Soft Condensed Matter GISAXS Studies: A Nanometer Scale Crystallographic Study of Self-Organization in Templated Silica Thin FilmsMain Notation Used in This Book