An Introduction to X-Ray Physics, Optics, and Applications

An Introduction to X-Ray Physics, Optics, and Applications

by Carolyn MacDonald
An Introduction to X-Ray Physics, Optics, and Applications

An Introduction to X-Ray Physics, Optics, and Applications

by Carolyn MacDonald

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Overview

In this book, Carolyn A. MacDonald provides a comprehensive introduction to the physics of a wide range of x-ray applications, optics, and analysis tools. Theory is applied to practical considerations of optics and applications ranging from astronomy to medical imaging and materials analysis.

Emphasizing common physical concepts that underpin diverse phenomena and applications of x-ray physics, the book opens with a look at nuclear medicine, motivating further investigations into scattering, detection, and noise statistics. The second section explores topics in x-ray generation, including characteristic emission, x-ray fluorescence analysis, bremsstrahlung emission, and synchrotron and laser sources. The third section details the main forms of interaction, including the physics of photoelectric absorption, coherent and Compton scattering, diffraction, and refractive, reflective, and diffractive optics. Applications in this section include x-ray spectroscopy, crystallography, and dose and contrast in radiography. A bibliography is included at the end of every chapter, and solutions to chapter problems are provided in the appendix.

Based on a course for advanced undergraduates and graduate students in physics and related sciences and also intended for researchers, An Introduction to X-Ray Physics, Optics, and Applications offers a thorough survey of the physics of x-ray generation and of interaction with materials.

  • Common aspects of diverse phenomena emphasized
  • Theoretical development tied to practical applications
  • Suitable for advanced undergraduate and graduate students in physics or related sciences, as well as researchers
  • Examples and problems include applications drawn from medicine, astronomy, and materials analysis
  • Detailed solutions are provided for all examples and problems

Product Details

ISBN-13: 9780691139654
Publisher: Princeton University Press
Publication date: 06/13/2017
Edition description: New Edition
Pages: 368
Product dimensions: 6.90(w) x 10.10(h) x 1.00(d)

About the Author

Carolyn A. MacDonald is professor and former chair of physics at the University at Albany and the director of the Ualbany Center for X-ray Optics. She is an associate editor of the Handbook of Optics.

Table of Contents

Preface xiii

Acknowledgments xv

List of Constants and Variables xvii

PART I. FOUNDATIONS

1. INTRODUCTION 3

1.1 The discovery 3

1.2 What is an x ray? 4

1.3 What makes x rays useful? 6

1.4 The layout of the text 8

1.5 The elusive hyphen 8

Problems 8

Further reading 9

2. A CASE STUDY: NUCLEAR MEDICINE 10

2.1 Metastable emitters and half-life 10

2.2 A brief introduction to nuclear decay 13

2.3 Nuclear medicine 14

2.4 Photon detection and scatter rejection 20

2.5 Photon statistics 22

2.6 SPECT 24

Problems 27

Further reading 29

PART II. X-RAY GENERATION

3. THERMAL SOURCES AND PLASMAS 33

3.1 Blackbody radiation 33

3.2 Generation of very hot plasmas 35

3.3 Plasma frequency 37

3.4 Debye length 40

3.5 Screening and the Debye length 41

3.6 Fluctuations and the Debye length 42

Problems 42

Further reading 43

4. CHARACTERISTIC RADIATION, X-RAY TUBES, AND X-RAY FLUORESCENCE SPECTROSCOPY 44

4.1 Introduction 44

4.2 Core atomic levels 45

4.3 Characteristic spectra 48

4.4 Emission rates and intensity 50

4.5 Auger emission 52

4.6 Line widths 53

4.7 X-ray fluorescence 55

Problems 65

Further reading 67

5. SOURCE INTENSITY, DIVERGENCE, AND COHERENCE 68

5.1 Intensity and angular intensity 68

5.2 Photon intensity and photon angular intensity 73

5.3 Brightness and brilliance 75

5.4 Global divergence 79

5.5 Local divergence 80

5.6 X-ray tube design 82

5.7 Coherence 84

5.8 Spatial coherence 86

5.9 Temporal coherence 90

5.10 In-line phase imaging 92

Problems 93

Further reading 94

6. BREMSSTRAHLUNG RADIATION AND X-RAY TUBES 95

6.1 Field from a moving charge 95

6.2 Radiation from an accelerating (or decelerating) charge 95

6.3 Emission from a very thin anode 98

6.4 Emission from a thick anode 101

6.5 Efficiency 101

6.6 Thick-target photon emission rate modeling 102

6.7 Spectral shaping 105

Problems 106

Further reading 107

7. SYNCHROTRON RADIATION 108

7.1 Classical (nonrelativistic) orbits 108

7.2 Semiclassical analysis 112

7.3 Relativistic bremsstrahlung 114

7.4 Synchrotrons 117

7.5 Pulse time and spectrum 117

7.6 Insertion devices 121

7.7 Collimation and coherence 125

Problems 126

Further reading 126

8. X-RAY LASERS 127

8.1 Stimulated and spontaneous emission 127

8.2 Laser cavities 130

8.3 Highly ionized plasmas 131

8.4 High-harmonic generation 131

8.5 Free-electron lasers 133

8.6 Novel sources 135

Problems 135

Further reading 136

PART III. X-RAY INTERACTIONS WITH MATTER

9. PHOTOELECTRIC ABSORPTION, ABSORPTION SPECTROSCOPY, IMAGING, AND DETECTION 139

9.1 Absorption coefficients 139

9.2 Attenuation versus absorption 144

9.3 Index of refraction 145

9.4 Absorption coefficient of compounds and broadband radiation 147

9.5 Absorption edges 148

9.6 Absorption spectroscopy 149

9.7 Filtering 151

9.8 Imaging 152

9.8.1 Contrast 152

9.8.2 Dose 154

9.8.3 Noise 154

9.9 Detectors 156

9.10 Tomosynthesis and tomography 160

Problems 161

Further reading 162

10. COMPTON SCATTERING 163

10.1 Conservation laws 164

10.2 Compton cross section 165

10.3 Inverse Compton sources 166

10.4 Scatter in radiography 168

10.5 Contrast with scatter 169

10.6 Scatter reduction 170

Problems 172

Further reading 173

11. COHERENT SCATTER I: REFRACTION AND REFLECTION 174

11.1 Free-electron theory and the real part of the index of refraction 175

11.2 Atomic scattering factor 178

11.3 Phase velocity 179

11.4 Slightly bound electrons and the phase response 180

11.5 Kramers-Kronig relations 182

11.6 Coherent scatter cross section 183

11.7 Relativistic cross section 187

11.8 Snell’s law 187

11.9 Reflectivity 190

11.10 Reflection coefficients at grazing incidence 193

11.11 Surface roughness 195

Problems 199

Further reading 200

12. REFRACTIVE AND REFLECTIVE OPTICS 201

12.1 Refractive optics 201

12.2 Reflective optics 206

12.2.1 Elliptical mirrors 206

12.2.2 Wolter optics 209

12.2.3 Capillary optics 211

12.2.4 Polycapillary optics 213

12.2.5 Array optics 219

12.2.6 Energy filtering 223

12.2.7 Optics metrology 223

12.3 Optics simulations 224

Problems 225

Further reading 226

13. COHERENT SCATTER II: DIFFRACTION 227

13.1 Scattering from a single electron 227

13.2 Two electrons 229

13.3 Scattering from an atom: Fourier transform relationships 230

13.4 A chain of atoms 231

13.5 Lattices and reciprocal lattices 233

13.6 Planes 235

13.7 Bragg’s law 237

13.8 θ-2θ diffractometer 238

13.9 Powder diffraction 238

13.10 Structure factor 242

13.11 Intensity 244

13.12 Defects 246

13.12.1 Mosaicity 246

13.12.2 Thermal vibrations 247

13.12.3 Crystal size 249

13.12.4 Amorphous materials 250

13.13 Resolution 251

13.13.1 The effect of angular broadening 251

13.13.2 Energy spread 252

13.13.3 Global divergence and aperture size 253

13.13.4 Local divergence 253

Problems 254

Further reading 255

14. SINGLE-CRYSTAL AND THREE-DIMENSIONAL DIFFRACTION 256

14.1 The Ewald sphere 256

14.2 The θ-2θ diffractometer and the Rowland circle 257

14.3 Aside: Proof that the angle of incidence is always θB on the Rowland circle 260

14.4 Beam divergence 261

14.5 Texture and strain measurements 262

14.6 Single-crystal diffraction 264

14.7 Laue geometry 268

14.8 Protein crystallography 269

14.9 The phase problem 270

14.10 Coherent diffraction imaging 271

14.11 Dynamical diffraction 271

Problems 273

Further reading 273

15. DIFFRACTION OPTICS 274

15.1 Gratings 274

15.2 Zone plates 279

15.3 Crystal optics and multilayers 288

15.3.1 Monochromators 288

15.3.2 Multilayer optics 289

15.3.3 Curved crystals 294

Problems 298

Further reading 298

Appendix: Solutions to End-of-Chapter Problems 299

Chapter 1 299

Chapter 2 299

Chapter 3 303

Chapter 4 306

Chapter 5 311

Chapter 6 314

Chapter 7 320

Chapter 8 323

Chapter 9 323

Chapter 10 326

Chapter 11 328

Chapter 12 330

Chapter 13 331

Chapter 14 334

Chapter 15 336

Index 339

What People are Saying About This

From the Publisher

"With breadth and depth, this insightful book provides a comprehensive survey of x-ray physics and x-ray optics. It fills a void in the pedagogy of x-ray physics, and will serve as an excellent reference for medical and x-ray physicists for many years to come."—Andrew Maidment, University of Pennsylvania

"An Introduction to X-ray Physics, Optics, and Applications presents an excellent overview of the basics of x-ray radiation and its generation in state-of-the-art laboratories, synchrotrons, and x-ray free electron lasers. Through a broad range of x-ray concepts, from the photoelectric effect to x-ray diffraction, the fundamentals of interaction mechanisms with matter are explained in detail. Students and instructors will find this book useful and informative."—Simone Techert, Deutsches Elektronensynchrotron (DESY)

"This excellent addition to the literature on modern x-ray usage will be a valuable aid to students and professional researchers. It covers the basic physics of x-ray generation and interactions with matter and includes many practical applications of current interest as well as excellent diagrams and photos in every chapter. All major sources of x-rays, optics, coherence, spectroscopy, and diffractions are explained clearly."—David Attwood, University of California, Berkeley

"Offering summary formulae on a great number of topics, students will find this book handy. It focuses on x-ray optics and imaging technologies and does a nice job of providing example problems and their solutions."—Chris Jacobsen, Northwestern University

"Covering a broad range of topics, from x-ray scattering and spectroscopy to detectors and x-ray optics, this textbook will serve as a useful reference for students and researchers."—Aaron M. Lindenberg, Stanford University

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