Progress in Optics (eBook)

Front Cover 1
Progress in Optics, Volume XXXIX 4
Copyright Page 5
CONTENTS 8
CHAPTER I. THEORY AND APPLICATIONS OF COMPLEX RAYS 14
1. Introduction 16
2. Basic Equations of Geometrical Optics 18
3. Properties of Complex Rays 28
4. Complex Rays in Physical Problems 40
5. Gaussian Beams and Complex Rays 56
6. Distinctive Aspects of Complex Geometrical Optics 63
7. Conclusion 65
Acknowledgments 66
References 66
CHAPTER Il. HOMODYNE DETECTION AND QUANTUM-STATE RECONSTRUCTION 76
1. Introduction 78
2. Phase-Sensitive Measurements of Light 82
3. Quantum-State Reconstruction 113
4. Quantum States of Matter Systems 170
Acknowledgments 200
Appendix A. Radiation Field Quantization 200
Appendix B. Quantum-State Representations 202
Appendix C. Photodetection 208
Appendix D. Elements of Least-Squares Inversion 210
References 213
CHAPTER llI. SCATTERING OF LIGHT IN THE EIKONAL APPROXIMATION 226
1. Introduction 228
2. The Eikonal Approximation in Non-Relativistic Potential Scattering 231
3. Eikonal Approximation in Optical Scattering 243
4. Applications of the Eikonal Approximation 281
5. Conclusions and Discussions 295
References 298
CHAPTER lV. THE ORBITAL ANGULAR MOMENTUM OF LIGHT 304
1. Introduction 307
2. The Paraxial Approximation 309
3. Nonparaxial Light Beams 315
4. Eigenoperator Description of Laser Beams 319
5. Generation of Laguerre–Gaussian Modes 322
6. Other Gaussian Light Beams Possessing Orbital Angular Momentum 332
7. Second-Harmonic Generation And Orbital Angular Momentum 335
8. Mechanical Equivalence of Spin and Orbital Angular Momentum: Optical Spanners 337
9. Rotational Frequency Shift 339
10. Atoms and the Orbital Angular Momentum of Light 341
11. Atoms and Multiple Laguerre–Gaussian Beam Configurations 355
12. Motion of Mg+ in Multiple Beam Configurations 358
13. Atoms And Circularly Polarized Light 369
14. Spin–Orbit Coupling of Light 376
15. Conclusions 379
Acknowledgements 382
References 382
CHAPTER V. THE OPTICAL KERR EFFECT AND QUANTUM OPTICS IN FIBERS 386
1. Introduction 388
2. Historical Perspective 390
3. The Optical Kerr Effect 393
4. Quantum Optics In Fibers – Practical Considerations 401
5. Quadrature Squeezing 410
6. Quantum Nondemolition Measurements 431
7. Photon-Number Squeezing 448
8. Future Prospects 471
Acknowledgements 473
References 473
Author Index 484
Subject Index 500
Contents of Previous Volumes 504
Cumulative Index 514