SPIEDL Logo

chapter 4, Theory of Scintillation: Spherical Wave Model

In Part I Scintillation Models from: Laser Beam Scintillation with Applications
Author(s): Larry C. Andrews, Ronald L. Phillips, Cynthia Y. Hopen
PM99 Cover Image
  • Preview

Chapter Contents

  • 4.1 Introduction
  • 4.2 Zero Inner Scale Model
  • 4.2.1 Effective Kolmogorov Spectrum
  • 4.3 Nonzero Inner Scale Model
  • 4.3.1 Effective Atmospheric Spectrum
  • 4.3.2 Outer-Scale Effects
  • 4.3.3 Comparison with Experimental Data
  • 4.4 Covariance Function of Irradiance
  • 4.5 Gamma-Gamma Distribution
  • 4.5.1 Comparison with Simulation Data
  • References

Excerpt

4.1 Introduction

The general plane wave model discussed in early investigations is often used in describing properties of starlight and other exo-atmospheric sources at a ground-based receiver. In addition to the plane wave model, some early investigations included a spherical wave model or, equivalently, a point source. At distance L from the transmitter source, the spherical wave model under a paraxial approximation is mathematically described by

math
where r is a transverse vector and k is the optical wave number. The spherical wave model is sometimes used for a small-aperture source within or near the turbulent medium.

In this chapter we present a treatment of spherical wave propagation through optical turbulence parallel to that in Chapter 3 for a plane wave. Under weak fluctuation theory, the log-irradiance variance is defined by

math
where Φn(κ) is the spatial power spectrum of refractive-index fluctuations.



©2001 Society of Photo-Optical Instrumentation Engineers
Your library does not subscribe to the eBooks portion of the SPIE Digital Library.

PURCHASE CHAPTER ($US18)

Download PDF
View Items in Cart

BOOK DATA

Print ISBN:

9780819441034

Print ISBN:

0819441031

eISBN:

9780819478511

Publisher:



close