chapter 5, Theory of Scintillation: Gaussian-Beam Wave Model

In Part I Scintillation Models from: Laser Beam Scintillation with Applications

Author(s): Larry C. Andrews, Ronald L. Phillips, Cynthia Y. Hopen

Published: 20 July 2001

Chapter DOI: 10.1117/3.412858.ch5

Chapter Page Count: 18 pages

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Front Matter

Part I Scintillation Models
1. Optical Wave Propagation in Random Media: Background Review

2. Modeling Optical Scintillation

3. Theory of Scintillation: Plane Wave Model

4. Theory of Scintillation: Spherical Wave Model

5. Theory of Scintillation: Gaussian-Beam Wave Model

6. Aperture Averaging

Part II Applications
7. Laser Communication Systems

8. Fade Statistics for Lasercom Systems

9. Laser Radar Systems: Scintillation of Return Waves

10. Laser Radar Systems: Imaging through Turbulence

Back Matter

Preview

Chapter Contents

5.1 Introduction
5.2 Radial Component
5.2.1 Effective Beam Parameters
5.3 Asymptotic Theory for the Longitudinal Component
5.4 Zero Inner Scale Model
5.5 Nonzero Inner Scale Model
5.5.1 Outer-Scale Effects
5.5.2 Comparison with Simulation Data
References

Excerpt

5.1 Introduction

In Chapters 3 and 4 we introduced scintillation models for the limiting cases of an infinite plane wave and spherical wave (point source). In the present chapter we develop a similar model for the lowest-order Gaussian-beam wave. In the output plane of the transmitter, a unit amplitude Gaussian-beam wave model is described by (recall Sec. 1.3)

where r is a transverse vector, k is optical wave number, W₀(m) is the beam radius, and F₀(m) is the phase front radius of curvature. For a receiver at distance L(m) from the transmitter, the Gaussian-beam wave under the paraxial approximation assumes the form