Progress in Optics (eBook)

Front Cover 1
Progress in Optics, Volume XVIII 4
Copyright Page 5
Contents 14
Preface 12
Chapter I. GRADED INDEX OPTICAL WAVEGUIDES: A REVIEW 18
1. Introduction 20
2. Ray Analysis 23
3. Modal Analysis 32
4. Pulse Dispersion 55
5. Power Attenuation 79
6. Leaky Modes 90
7. Coherence Theory in Fiber Optics 94
8. Inhomogeneous Media as Image Relays and Lens Waveguides 99
9. Fabrication and Index Profile Measurement of Inhomogeneous Core Waveguides 107
Acknowledgements 127
Appendix A: Validity of Geometrical Optics 127
Appendix B: Retinal Receptors as Waveguide Elements 128
Appendix C: Relationship Between Modal and Geometric Optics Analysis 129
References 130
Chapter II. PHOTOCOUNT STATISTICS OF RADIATION PROPAGATING THROUGH RANDOM AND NONLINEAR MEDIA 144
1. Introduction 146
2. Review of Statistical Properties of the Superposition of Coherent and Chaotic Fields 151
3. Quantum Statistics of Radiation in Random Media 172
4. Quantum Statistics of Radiation in Nonlinear Media 194
5. Conclusion 211
Acknowledgement 213
References 213
Chapter III. STRONG FLUCTUATIONS IN LIGHT PROPAGATION IN A RANDOMLY INHOMOGENEOUS MEDIUM 221
1. Introduction 224
2. Equations for the Moments of a Wave Field in a Randomly Inhomogeneous Medium 228
3. Mean Field and the Coherence Function G2 235
4. Intensity Fluctuations 239
5. Asymptotic Solution for the Regime of Strong Intensity Fluctuations 248
6. The Limits of Applicability of the Markov Approximation for the Higher Moments of the Field 261
7. Numerical Solution for the Fourth Moment of the Field Comparison with Experiment and the Asymptotic Theory
8. Conclusion 270
References 271
Chapter IV. CATASTROPHE OPTICS: MORPHOLOGIES OF CAUSTICS AND THEIR DIFFRACTION PATTERNS 274
1. Introduction 276
2. Catastrophe Theory and Stable Caustics 279
3. Diffraction Catastrophes 294
4. The Geometry of Wavefronts and their Normals 314
5. Liquid Droplet Lenses 322
6. Caustic Networks 332
7. Statistical Catastrophe Optics 343
8. Concluding Remarks 353
Acknowledgements 354
Appendix 1: Wavefronts 354
Appendix 2: Primary Aberrations 356
References 360
AUTHOR INDEX 364
SUBJECT INDEX 372
CUMULATIVE INDEX - VOLUMES I-XVIII 376