Random Light Beams

Random Light Beams

by Olga Korotkova
Released December 2017
Publisher(s): CRC Press
ISBN: 9781351833875

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Book description

Random Light Beams: Theory and Applications contemplates the potential in harnessing random light. This book discusses light matter interactions, and concentrates on the various phenomena associated with beam-like fields. It explores natural and man-made light fields and gives an overview of recently introduced families of random light beams. It outlines mathematical tools for analysis, suggests schemes for realization, and discusses possible applications.





The book introduces the essential concepts needed for a deeper understanding of the subject, discusses various classes of deterministic paraxial beams and examines random scalar beams. It highlights electromagnetic random beams and matters relating to generation, propagation in free space and various media, and discusses transmission through optical systems. It includes applications that benefit from the use of random beams, as well as the interaction of beams with deterministic optical systems.





• Includes detailed mathematical description of different model sources and beams



• Explores a wide range of man-made and natural media for beam interaction



• Contains more than 100 illustrations on beam behavior



• Offers information that is based on the scientific results of the last several years



• Points to general methods for dealing with random beams, on the basis of which the readers can do independent research





It gives examples of light propagation through the human eye, laser resonators, and negative phase materials. It discusses in detail propagation of random beams in random media, the scattering of random beams from collections of scatterers and thin random layers as well as the possible uses for these beams in imaging, tomography, and smart illumination.

Table of contents

  1. Cover Page
  2. Halftitle Page
  3. Title Page
  4. Copyright Page
  5. Contents
  6. List of Figures
  7. Foreword
  8. Preface
  9. Symbol Description
  10. 1 Introduction
    1. 1.1 Brief history
    2. 1.2 Preliminary mathematics
      1. 1.2.1 Random processes
      2. 1.2.2 Spectral representation of random processes
      3. 1.2.3 Analytic representation of complex signals
      4. 1.2.4 Gaussian random processes
    3. 1.3 Preliminary optics
      1. 1.3.1 Maxwell’s, wave and Helmholtz equations
      2. 1.3.2 Angular spectrum representation and beam conditions
      3. 1.3.3 Exact beams
        1. 1.3.3.1 Plane waves and cosine beams
        2. 1.3.3.2 Bessel beams
        3. 1.3.3.3 Mathieu beams
        4. 1.3.3.4 Parabolic beams
      4. 1.3.4 Vectorial nature of optical fields: polarization
        1. 1.3.4.1 Polarization ellipse
        2. 1.3.4.2 Jones calculus
        3. 1.3.4.3 Stokes vectors
      5. 1.3.5 Spatial interference in light fields
    4. Bibliography
  11. 2 Deterministic paraxial beams
    1. 2.1 Basic family of Gaussian beams
      1. 2.1.1 Fundamental Gaussian beam
      2. 2.1.2 Hermite-Gaussian beams
      3. 2.1.3 Laguerre-Gaussian beams
    2. 2.2 Superposition of Gaussian beams
      1. 2.2.1 Flat-top beams
      2. 2.2.2 Cusp-Gaussian beams
      3. 2.2.3 Dark-hollow beams
    3. 2.3 Other deterministic beams
    4. Bibliography
  12. 3 Scalar stochastic beams: theory
    1. 3.1 Statistical description
      1. 3.1.1 Mutual coherence function
      2. 3.1.2 Cross-spectral density function
      3. 3.1.3 Spectral and coherence properties
      4. 3.1.4 Total, encircled and fractional power
      5. 3.1.5 Higher-order statistical properties
      6. 3.1.6 Coherent mode decomposition
      7. 3.1.7 Angular spectrum decomposition
    2. 3.2 Mathematical models
      1. 3.2.1 General structure
      2. 3.2.2 Gaussian Schell-model sources
      3. 3.2.3 J0-Bessel correlated sources
      4. 3.2.4 Multi-Gaussian correlated sources
      5. 3.2.5 Bessel-Gaussian-correlated and Laguerre-Gaussian-correlated Schell-model sources
      6. 3.2.6 Non-uniformly correlated sources
      7. 3.2.7 I0-Bessel correlated sources
    3. 3.3 Methods of generation
    4. Bibliography
  13. 4 Electromagnetic stochastic beams: theory
    1. 4.1 Statistical description
      1. 4.1.1 Beam coherence polarization matrix
      2. 4.1.2 Cross-spectral density matrix
      3. 4.1.3 Spectral, coherence and polarization properties
      4. 4.1.4 Classic and generalized Stokes parameters
      5. 4.1.5 Coherent mode decomposition
      6. 4.1.6 Angular-spectrum decomposition
    2. 4.2 Electromagnetic quasi-homogeneous sources
      1. 4.2.1 Far-field analysis and the reciprocity relations
      2. 4.2.2 Conditions for spectral invariance
      3. 4.2.3 Conditions for polarization invariance
    3. 4.3 Propagation in free space and linear media
      1. 4.3.1 Propagation in free space
      2. 4.3.2 Conservation laws for electromagnetic stochastic free fields
      3. 4.3.3 Propagation in linear deterministic media with arbitrary index of refraction
    4. 4.4 Generalized Jones-Mueller calculus
      1. 4.4.1 Transmission through deterministic devices
      2. 4.4.2 Transmission through random devices
      3. 4.4.3 Combination of several devices
    5. 4.5 Electromagnetic Gaussian Schell-model sources and beams
      1. 4.5.1 Realizability and beam conditions
      2. 4.5.2 Methods of generation
      3. 4.5.3 Propagation in free space
    6. 4.6 Electromagnetic beams with Gaussian statistics
      1. 4.6.1 Higher-order statistical moments of fields
      2. 4.6.2 Higher-order moments of beams with Gaussian statistics
      3. 4.6.3 Fluctuations in power
      4. 4.6.4 Higher-order moments of Stokes parameters
    7. 4.7 Other stochastic electromagnetic beams
      1. 4.7.1 Electromagnetic multi-Gaussian Schell-model beams
      2. 4.7.2 Electromagnetic non-uniformly correlated beams
    8. Bibliography
  14. 5 Interaction of random electromagnetic beams with optical systems
    1. 5.1 ABCD matrix method for beam interaction with imageforming optical systems
    2. 5.2 Random beams in the human eye
    3. 5.3 Random beams in negative phase materials
    4. 5.4 Imaging by twisted random beams
    5. 5.5 Tensor method for random beam interaction with astigmatic ABCD systems
    6. 5.6 Electromagnetic random beams in optical resonators
    7. Bibliography
  15. 6 Random beams in linear random media
    1. 6.1 Natural random media: turbulence
      1. 6.1.1 Atmospheric turbulence
      2. 6.1.2 Oceanic turbulence
      3. 6.1.3 Biological tissues
    2. 6.2 Scalar randombeam interaction with random media
      1. 6.2.1 Extended Huygens-Fresnel principle
      2. 6.2.2 Angular spectrum method
      3. 6.2.3 Fractional power changes
      4. 6.2.4 Correlation-induced spectral changes
    3. 6.3 Electromagnetic random beam interaction with random media
      1. 6.3.1 General theory
      2. 6.3.2 Polarization changes in randommedia
      3. 6.3.3 Propagation in non-Kolmogorov atmospheric turbulence
      4. 6.3.4 Propagation in oceanic turbulence
    4. Bibliography
  16. 7 Mitigation of random media effects with random beams
    1. 7.1 Free-space optical communications
      1. 7.1.1 Communication link quality criteria
      2. 7.1.2 The pdf models for beam intensity in the atmosphere
    2. 7.2 Mitigation of scintillations by different randomization schemes
      1. 7.2.1 Non-uniform polarization
      2. 7.2.2 Partial coherence
      3. 7.2.3 Combination of non-uniform polarization and partial coherence
    3. 7.3 Active LIDAR systems with rough targets
      1. 7.3.1 Beam propagation in optical systems in the presence of random medium
      2. 7.3.2 Beam passage through a LIDAR system with a semirough target
      3. 7.3.3 Target characterization: inverse problem
    4. Bibliography
  17. 8 Weak scattering of random beams
    1. 8.1 Classic theory of weak scattering
    2. 8.2 Description of scattering media
      1. 8.2.1 Single scatterer
      2. 8.2.2 Collections of scatterers
      3. 8.2.3 Random scatterers
    3. 8.3 Weak scattering for scalar fields
      1. 8.3.1 Cross-spectral density function of scattered field
      2. 8.3.2 Coherence effects on Mie scattering
      3. 8.3.3 Scattering from turbulent medium containing particles
    4. 8.4 Weak scattering of electromagnetic fields
      1. 8.4.1 Cross-spectral density matrix of scattered field
      2. 8.4.2 Scattering from a delta-correlated slab
      3. 8.4.3 Scattering from a thin bio-tissue layer
    5. Bibliography
  18. Index

Product information

  • Title: Random Light Beams
  • Author(s): Olga Korotkova
  • Release date: December 2017
  • Publisher(s): CRC Press
  • ISBN: 9781351833875