Statistical Optics, Second Edition | ISBN: 9781119009450 | Temporal and Spatial Coherence of Optical Waves. Imaging Through Randomly Inhomogeneous Media

Statistical Optics, Second Edition 9781119009450


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Statistical Optics (Wiley Series in Pure and Applied Optics)


By (author): Joseph W. Goodman

This book discusses statistical methods that are useful for treating problems in modern optics, and the application of these methods to solving a variety of such problems

This book covers a variety of statistical problems in optics, including both theory and applications.  The text covers the necessary background in statistics, statistical properties of light waves of various types, the theory of partial coherence and its applications, imaging with partially coherent light, atmospheric degradations of images, and noise limitations in the detection of light. New topics have been introduced in the second edition, including:

  • Analysis of the Vander Pol oscillator model of laser light
  • Coverage on coherence tomography and coherence multiplexing of fiber sensors
  • An expansion of the chapter on imaging with partially coherent light, including several new examples
  • An expanded section on speckle and its properties
  • New sections on the cross-spectrum and bispectrum techniques for obtaining images free from atmospheric distortions
  • A new section on imaging through atmospheric turbulence using coherent light
  • The addition of the effects of “read noise” to the discussions of limitations encountered in detecting very weak optical signals
  • A number of new problems and many new references have been added 

Statistical Optics, Second Edition is written for researchers and engineering students interested in optics, physicists and chemists, as well as graduate level courses in a University Engineering or Physics Department.

New From: $83.06 USD In Stock

Statistical Optics, Second Edition
by Joseph W. Goodman
2015
ISBN: 9781119009450
Covering a variety of statistical problems in optics, including both theory and applications, this book discussses the necessary background in statistics, statistical properties of light waves of various types, the theory of partial coherence and its applications, imaging with partially coherent light, atmospheric degradations of images, and noise limitations in the detection of light.

[mp-amz keywords=”1119009456″]

Table of Contents
Statistical Optics, Second Edition
Preface–Second Edition
Preface–First Edition

Chapter 1 – Introduction
OVERVIEW
1.1: DETERMINISTIC VERSUS STATISTICAL PHENOMENA AND MODELS
1.2: STATISTICAL PHENOMENA IN OPTICS
1.3: AN OUTLINE OF THE BOOK

Chapter 2 – Random Variables
OVERVIEW
2.1: DEFINITIONS OF PROBABILITY AND RANDOM VARIABLES
2.2: DISTRIBUTION FUNCTIONS AND DENSITY FUNCTIONS
2.3: EXTENSION TO TWO OR MORE JOINT RANDOM VARIABLES
2.4: STATISTICAL AVERAGES
2.5: TRANSFORMATIONS OF RANDOM VARIABLES
2.6: SUMS OF REAL RANDOM VARIABLES
2.7: GAUSSIAN RANDOM VARIABLES
2.8: COMPLEX-VALUED RANDOM VARIABLES
2.9: RANDOM PHASOR SUMS
2.10: POISSON RANDOM VARIABLES
PROBLEMS

Chapter 3 – Random Processes
3.1: DEFINITION AND DESCRIPTION OF A RANDOM PROCESS
3.2: STATIONARITY AND ERGODICITY
3.3: SPECTRAL ANALYSIS OF RANDOM PROCESSES
3.4: AUTOCORRELATION FUNCTIONS AND THE WIENER–KHINCHIN THEOREM
3.5: CROSS-CORRELATION FUNCTIONS AND CROSS-SPECTRAL DENSITIES
3.6: GAUSSIAN RANDOM PROCESSES
3.7: POISSON IMPULSE PROCESSES
3.8: RANDOM PROCESSES DERIVED FROM ANALYTIC SIGNALS
3.9: THE CIRCULAR COMPLEX GAUSSIAN RANDOM PROCESS
3.10: THE KARHUNEN–LOÈVE EXPANSION
PROBLEMS

Chapter 4 – Some First-Order Statistical Properties of Light
OVERVIEW
4.1: PROPAGATION OF LIGHT
4.2: THERMAL LIGHT
4.3: PARTIALLY POLARIZED THERMAL LIGHT
4.4: SINGLE-MODE LASER LIGHT
4.5: MULTIMODE LASER LIGHT
4.6: PSEUDOTHERMAL LIGHT PRODUCED BY PASSING LASER LIGHT THROUGH A CHANGING DIFFUSER
PROBLEMS

Chapter 5 – Temporal and Spatial Coherence of Optical Waves
OVERVIEW
5.1: TEMPORAL COHERENCE
5.2: SPATIAL COHERENCE
5.3: SEPARABILITY OF SPATIAL AND TEMPORAL COHERENCE EFFECTS
5.4: PROPAGATION OF MUTUAL COHERENCE
5.5: SPECIAL FORMS OF THE MUTUAL COHERENCE FUNCTION
5.6: DIFFRACTION OF PARTIALLY COHERENT LIGHT BY A TRANSMITTING STRUCTURE
5.7: THE VAN CITTERT–ZERNIKE THEOREM
5.8: A GENERALIZED VAN CITTERT–ZERNIKE THEOREM
5.9: ENSEMBLE-AVERAGE COHERENCE
PROBLEMS

Chapter 6 – Some Problems Involving Higher-Order Coherence
OVERVIEW
6.1: STATISTICAL PROPERTIES OF THE INTEGRATED INTENSITY OF THERMAL OR PSEUDOTHERMAL LIGHT
6.2: STATISTICAL PROPERTIES OF MUTUAL INTENSITY WITH FINITE MEASUREMENT TIME
6.3: CLASSICAL ANALYSIS OF THE INTENSITY INTERFEROMETER
PROBLEMS

Chapter 7 – Effects of Partial Coherence in Imaging Systems
OVERVIEW
7.1: PRELIMINARIES
7.2: SPACE-DOMAIN CALCULATION OF IMAGE INTENSITY
7.3: FREQUENCY DOMAIN CALCULATION OF THE IMAGE INTENSITY SPECTRUM
7.4: THE INCOHERENT AND COHERENT LIMITS
7.5: SOME EXAMPLES
7.6: IMAGE FORMATION AS AN INTERFEROMETRIC PROCESS
7.7: THE SPECKLE EFFECT IN IMAGING
PROBLEMS

Chapter 8 – Imaging Through Randomly Inhomogeneous Media
OVERVIEW
8.1: EFFECTS OF THIN RANDOM SCREENS ON IMAGE QUALITY
8.2: RANDOM-PHASE SCREENS
8.3: THE EARTH’S ATMOSPHERE AS A THICK PHASE SCREEN
8.4: ELECTROMAGNETIC WAVE PROPAGATION THROUGH THE INHOMOGENEOUS ATMOSPHERE
8.5: THE LONG-EXPOSURE OTF
8.6: THE SHORT-EXPOSURE OTF
8.7: STELLAR SPECKLE INTERFEROMETRY
8.8: THE CROSS-SPECTRUM OR KNOX–THOMPSON TECHNIQUE
8.9: THE BISPECTRUM TECHNIQUE
8.10: ADAPTIVE OPTICS
8.11: GENERALITY OF THE THEORETICAL RESULTS
8.12: IMAGING LASER-ILLUMINATED OBJECTS THROUGH A TURBULENT ATMOSPHERE
PROBLEMS

Chapter 9 – Fundamental Limits in Photoelectric Detection of Light
OVERVIEW
9.1: THE SEMICLASSICAL MODEL FOR PHOTOELECTRIC DETECTION
9.2: EFFECTS OF RANDOM FLUCTUATIONS OF THE CLASSICAL INTENSITY
9.3: THE DEGENERACY PARAMETER
9.4: NOISE LIMITATIONS OF THE AMPLITUDE INTERFEROMETER AT LOW LIGHT LEVELS
9.5: NOISE LIMITATIONS OF THE INTENSITY INTERFEROMETER AT LOW LIGHT LEVELS
9.6: NOISE LIMITATIONS IN STELLAR SPECKLE INTERFEROMETRY
PROBLEMS

Appendix A – The Fourier Transform
A.1: FOURIER TRANSFORM DEFINITIONS
A.2: BASIC PROPERTIES OF THE FOURIER TRANSFORM
A.3: TABLES OF FOURIER TRANSFORMS
Appendix B – Random Phasor Sum
Appendix C – The Atmospheric Filter Functions
Appendix D – Analysis of Stellar Speckle Interferometry
Appendix E – Fourth-Order Moment of the Spectrum of a Detected Speckle Image
Bibliography

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