An Introduction to the Theory of Diffraction - 1st Edition - ISBN: 9780080157863, 9781483181424

An Introduction to the Theory of Diffraction

1st Edition

The Commonwealth and International Library: Materials Science and Technology

Authors: C. J. Ball
Editors: G. E. Bacon
eBook ISBN: 9781483181424
Imprint: Pergamon
Published Date: 1st January 1971
Page Count: 142
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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.

Table of Contents


Chapter 1. Wave Motion

1.1. Introduction

1.2. Parameters of a Wave

1.3. Waves in Three Dimensions

1.4. The Principle of Superposition

1.5. Amplitude-Phase Diagrams

1.6. Secondary wavelets

Chapter 2. One-Dimensional Diffraction

2.1. Introduction

2.2. The Double Source

2.3. The Multiple Source

2.4. Diffraction by a Slit Aperture

2.5. Diffraction at a Straight Edge

2.6. The Diffraction Grating

2.7. Effect of Source Geometry

2.8. Abbe Theory of Image Formation

2.9. The Sinusoidal Grating

Chapter 3. Two-Dimensional Diffraction

3.1. Introduction

3.2. Propagation of a Spherical Wave

3.3. Fresnel Zones

3.4. Scattering by a Plane of Atoms

3.5. Diffraction by an Aperture

3.6. Diffraction by Arrays of Apertures

Chapter 4. Three-Dimensional Diffraction

4.1. Introduction

4.2. Geometry of Diffraction

4.3. Kinematical Theory of Intensity of Diffraction

4.4. Dynamical Theory of Diffraction

4.5. Real Crystals

4.6. Diffraction by Imperfect Lattices

Chapter 5. Scattering Processes

5.1. Introduction

5.2. Scattering of X-rays

5.3. Scattering of Neutrons

5.4. Scattering of Electrons

Chapter 6. Fourier Methods

6.1. Introduction

6.2. Trigonometrical Series

6.3. Exponential Series

6.4. Fourier Transforms

6.5. Convolutions

6.6. Transforms in Two and Three Dimensions

Chapter 7. Elements of Crystallography

7.1. Introduction

7.2. Lattices

7.3. Indices

7.4. T


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© Pergamon 1971
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About the Author

C. J. Ball

About the Editor

G. E. Bacon

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