appendix II, Integral Table

from: Laser Beam Propagation through Random Media, Second

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

Published: 16 September 2005

Chapter DOI: 10.1117/3.626196.ap2

Chapter Page Count: 2 pages

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Front Matter

Part 1 Basic Theory
1. Prologue

2. Random Processes and Random Fields

3. Optical Turbulence in the Atmosphere

4. Free-Space Propagation of Gaussian-Beam Waves

5. Classical Theory for Propagation Through Random Media

6. Second-Order Statistics: Weak Fluctuation Theory

7. Second-Order Statistics: Strong Fluctuation Theory

8. Fourth-Order Statistics: Weak Fluctuation Theory

9. Fourth-Order Statistics: Strong Fluctuation Theory

10. Propagation Through Complex Paraxial ABCD Optical Systems

Part II Applications
11. Free Space Optical Communication Systems

12. Laser Satellite Communication Systems

13. Double-Passage Problems: Laser Radar Systems

14. Imaging Systems Analysis

Part III Related Topics
15. Propagation Through Random Phase Screens

16. Partially Coherent Beams

17. Other Beam Shapes

18. Pulse Propagation

I. Special Functions

II. Integral Table

III. Tables of Beam Statistics

Back Matter

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Excerpt

The integrals that routinely arise in propagation problems are frequently of a non-elementary nature and involve a variety of special functions (see Appendix I). Many of these integrals have previously been evaluated and tabulated in various integral tables. In practice, therefore, it is useful for the theoretician to have access to a fairly extensive reference source of integrals. However, for most of the integrals encountered in this text, the following short table of integrals should prove adequate.

DOI: 10.1117/3.626196.ap2

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