Introduction to the Theory of Diffraction (eBook)

The Commonwealth and International Library: Materials Science and Technology

C. J. Ball (Autor)

G. E. Bacon (Herausgeber)

eBook Download: PDF

2013 | 1. Auflage
142 Seiten
Elsevier Science (Verlag)
978-1-4831-8142-4 (ISBN)

Infos

An Introduction to the Theory of Diffraction presents the fundamentals of diffraction theory. This book discusses other topics, such as absorption in cylindrical or slab-shaped specimens, which do not closely involve the fundamentals of diffraction. Organized into seven chapters, this book begins with an overview of the fundamentals of wave motion and a short account of the interaction of atoms with X-ray, electrons, and neutrons. This text then examines the differences between atomic scattering factors for the various radiations. Other chapters consider a number of problems in which the distribution of scattering sources is either one-dimensional in nature or can be reduced to one dimension. This book discusses as well the principle of superposition, which ensures that Fourier analysis has an application to diffraction theory. The final chapter deals with the importance of reciprocal lattice on the relation it bears to the crystal lattice. This book is a valuable resource for metallurgists.

Inhalt

Front Cover 1
An Introduction to the Theory of Diffraction 4
Copyright Page 5
Table of Contents 6
PREFACE 8
Chapter 1. Wave Motion 10
1.1. Introduction 10
1.2. Parameters of a wave 12
1.3. Waves in three dimensions 14
1.4. The principle of superposition 16
1.5. Amplitude-phase diagrams 17
1.6. Secondary wavelets 19
Chapter 2. One-dimensional Diffraction 21
2.1. Introduction 21
2.2. The double source 22
2.3. The multiple source 25
2.4. Diffraction by a slit aperture 28
2.5. Diffraction at a straight edge 31
2.6. The diffraction grating 35
2.7. Effect of source geometry 39
2.8. Abbe theory of image formation 43
2.9. The sinusoidal grating 46
Chapter 3. Two-dimensional Diffraction 49
3.1. Introduction 49
3.2. Propagation of a spherical wave 49
3.3. Fresnel zones 52
3.4. Scattering by a plane of atom 53
3.5. Diffraction by an aperture 61
3.6. Diffraction by arrays of apertures 64
Chapter 4. Three-dimensional Diffraction 67
4.1. Introduction 67
4.2. Geometry of diffraction 67
4.3. Kinematical theory of intensity of diffraction 70
4.4. Dynamical theory of diffraction 81
4.5. Real crystals 90
4.6. Diffraction by imperfect lattices 93
Chapter 5. Scattering Processes 97
5.1. Introduction 97
5.2. Scattering of X-rays 97
5.3. Scattering of neutrons 101
5.4. Scattering of electrons 105
Chapter 6. Fourier Methods 107
6.1. Introduction 107
6.2. Trigonometrieal series 107
6.3. Exponential series 112
6.4. Fourier transforms 113
6.5. Convolutions 116
6.6. Transforms in two and three dimensions 120
Chapter 7. Elements of Crystallography 122
7.1. Introduction 122
7.2. Lattices 124
7.3. Indices 129
7.4. The reciprocal lattice 135
7.5. Relations between lattices 136
BIBLIOGRAPHY AND REFERENCES 140
INDEX 142

Produkt-Details

• Erscheint lt. Verlag: 8.10.2013
• Sprache: englisch
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Optik
• Themenwelt: Technik ► Maschinenbau
• ISBN-10: 1-4831-8142-1 / 1483181421
• ISBN-13: 978-1-4831-8142-4 / 9781483181424