Laser beam propagation through random media /

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 unde...

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Bibliographic Details
Main Author: Andrews, Larry C.
Corporate Author: Society of Photo-optical Instrumentation Engineers
Other Authors: Phillips, Ronald L.
Format: eBook
Language:English
Published: Bellingham, Wash. (1000 20th St. Bellingham WA 98225-6705 USA) : SPIE, 2005.
Edition:2nd ed.
Series:SPIE monograph ; PM152.
Subjects:
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • 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.
  • 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.
  • 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, part I
  • 13.5. Finite smooth target, part II
  • 13.6. Finite smooth reflector, part III
  • 13.7. Unresolved (point) target
  • 13.8. Diffuse target
  • 13.9. Summary and discussion
  • 13.10. Worked examples
  • 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.
  • 16. Partially coherent beams
  • 16.1. Introduction
  • 16.2. Basic beam parameters
  • 16.3. Mutual coherence function, part I
  • 16.4. Mutual coherence function, part II
  • 16.5. Scintillation index, part I
  • 16.6. Scintillation index, part 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • Appendix I. Special functions
  • Appendix II. Integral table
  • Appendix III. Tables of beam statistics
  • Index.
  • 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.
  • 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.
  • 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.