Laser beam propagation through random media Part II. Applications. 11. Free space optical communication systems 11.1. Introduction 11.2. Direct detection optical receivers 11.3. Fade statistics Part i 11.4. Fade statistics Part ii 11.5. Spatial diversity receivers 11.6. Summary and discussion 11.7. Worked examples Problems References 17. Other beam shapes 17.1. Introduction 17.2. Beam spreading: higher order gaussian beams 17.3. Annular beam 17.4. Other beams 17.5. Summary and discussion Problems References 18. Pulse propagation 18.1. Introduction 18.2. Background 18.3. Two frequency mutual coherence function 18.4. Four frequency cross coherence function 18.5. Summary and discussion Problems References 14. Imaging systems analysis 14.1. Introduction 14.2. Coherent imaging systems 14.3. Incoherent imaging systems 14.4. Laser imaging radar 14.5. Zernike polynomials 14.6. Summary and discussion 14.7. Worked examples Problems References 7. Second order statistics: strong fluctuation theory 7.1. Introduction 7.2. Parabolic equation method 7.3. Extended Huygens Fresnel principle 7.4. Method of effective beam parameters 7.5. Summary and discussion 7.6. Worked examples problems references 8. Fourth order statistics: weak fluctuation theory 8.1. Introduction 8.2. Scintillation index 8.3. Beam wander and scintillation 8.4. Covariance function of irradiance 8.5. Temporal spectrum of irradiance 8.6. Phase fluctuations 8.7. Slant paths 8.8. Summary and discussion 8.9. Worked examples problems references 12. Laser satellite communication systems 12.1. Introduction 12.2. Atmospheric channels 12.3. Background 12.4. Second order statistics 12.5. Irradiance statistics: downlink channel 12.6. Irradiance statistics: uplink channel 12.7. Fade statistics: downlink channels 12.8. Fade statistics: uplink channels 12.9. Summary and discussion 12.10. Worked examples Problems References Part I. Basic theory. 1. Prologue 1.1. Introduction 1.2. Historical background of light 1.3. Optical wave models 1.4. Atmospheric effects 1.5. Application areas 1.6. A brief review of communication systems 1.7. Summary and overview of the book references 10. Propagation through complex paraxial ABCD optical systems 10.1. Introduction 10.2. Single element optical system 10.3. Aperture averaging 10.4. Optical systems with several optical elements 10.5. Summary and discussion 10.6. Worked examples Problems References Appendix I. Special functions Appendix II. Integral table Appendix III. Tables of beam statistics Index 3. Optical turbulence in the atmosphere 3.1. Introduction 3.2. Kolmogorov theory of turbulence 3.3. Power spectrum models for refractive index fluctuations 3.4. Atmospheric temporal statistics 3.5. Summary and discussion 3.6. Worked examples problems references Since publication of the first edition of this text in 1998 there have been several new important developments in the theory of beam wave propagation through a random medium which have been incorporated into this second edition. Also new to this edition are models for the scintillation index under moderate to strong irradiance fluctuations; models for aperture averaging based on ABCD ray matrices; beam wander and its effects on scintillation; theory of partial coherence of the source; models of rough targets for ladar applications; phase fluctuations; analysis of other beam shapes; plus expanded analysis of free space optical communication systems and imaging systems 6. Second order statistics: weak fluctuation theory 6.1. Introduction 6.2. Basic concepts 6.3. Mutual coherence function 6.4. Spatial coherence radius 6.5. Angle of arrival fluctuations 6.6. Beam wander 6.7. Angular and temporal frequency spectra 6.8. Slant paths 6.9. Summary and discussion 6.10. Worked examples problems references 5. Classical theory for propagation through random media 5.1. Introduction 5.2. Stochastic wave equation 5.3. Born approximation 5.4. Rytov approximation 5.5. Linear systems analogy 5.6. Rytov approximation for abcd optical systems 5.7. Classical distribution models 5.8. Other methods of analysis 5.9. Extended Rytov theory 5.10. Summary and discussion 5.11. Worked examples problems references 4. Free space propagation of gaussian beam waves 4.1. Introduction 4.2. Paraxial wave equation 4.3. Optical wave models 4.4. Diffractive properties of gaussian beam waves 4.5. Geometrical interpretations Part I 4.6. Geometrical interpretations Part II 4.7. Higher order gaussian beam modes 4.8. Abcd ray matrix representations 4.9. Single element optical system 4.10. Summary and discussion 4.11. Worked examples problems references 13. Double passage problems: laser radar systems 13.1. Introduction 13.2. Laser radar configuration 13.3. Modeling the backscattered wave 13.4. Finite smooth target pt. I 13.5. Finite smooth target pt. II 13.6. Finite smooth reflector pt. III 13.7. Unresolved (point) target 13.8. Diffuse target 13.9. Summary and discussion 13.10. Worked examples Problems References 9. Fourth order statistics: strong fluctuation theory 9.1. Introduction 9.2. Modeling optical scintillation 9.3. Asymptotic theory 9.4. Scintillation theory: plane wave model 9.5. Scintillation theory: spherical wave model 9.6. Scintillation theory: gaussian beam wave model 9.7. Covariance function of irradiance 9.8. Temporal spectrum of irradiance 9.9. Distribution models for the irradiance 9.10. Gamma gamma distribution 9.11. Summary and discussion 9.12. Worked examples Problems References 2. Random processes and random fields 2.1. Introduction 2.2. Probabilistic description of random process 2.3. Ensemble averages 2.4. Time averages and ergodicity 2.5. Power spectral density functions 2.6. Random fields 2.7. Summary and discussion 2.8. Worked examples problems references 16. Partially coherent beams 16.1. Introduction 16.2. Basic beam parameters 16.3. Mutual coherence function pt. I 16.4. Mutual coherence function pt. II 16.5. Scintillation index pt. I 16.6. Scintillation index pt. II 16.7. FSO communication systems 16.8. Ladar model in free space 16.9. Ladar model in optical turbulence 16.10. Summary and discussion 16.11. Worked examples Problems References Part III. Related topics. 15. Propagation through random phase screens 15.1. Introduction 15.2. Random phase screen models 15.3. Mutual coherence function 15.4. Scintillation index and covariance function 15.5. Multiple phase screens 15.6. Summary and discussion Problems References