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Introduction

  • Richard J. Sasiela
Part of the Springer Series on Wave Phenomena book series (SSWAV, volume 18)

Abstract

Solving problems of wave propagation in turbulence is a field that occupies the services of a small group of researchers. The methods used in this community and the results obtained are not generally known by researchers in other communities. The main reason is that the field is considered difficult, and if there is not an obvious need to investigate the effects of turbulence, they are neglected. The difficulty arises from the need to solve stochastic differential equations. Advances made by Tatarski and Rytov reduce problems to multiple integrals. These integrals are often difficult to evaluate since fractional exponents of functions appear in integrands. The final step in most cases is to evaluate these integrals numerically and to present the results as parametric curves. Many cases are run to develop some insight into how a quantity of interest varies with parameters. Becoming an expert in this field requires a great deal of time to become familiar with these graphical results so that one has some insight into various effects.

Keywords

Gamma Function Hypergeometric Function Integration Path Filter Function Outer Scale 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Fried, D. L., Optical Heterodyne Detection of an Atmospherically Distorted Signal Wave Front, Proc. IEEE, 55, (1967) 57–67CrossRefGoogle Scholar
  2. Marichev, O. I., Integral Transforms of Higher Transcendental Functions, Ellis Hor-wood Limited, Chichester, England, 1983MATHGoogle Scholar
  3. Prudnikov, A. P., Brychkov, Y. A., Marichev, O. I., Integrals and Series, Gordon and Breach Science Publishers, New York, 1990MATHGoogle Scholar
  4. Slater, L. J., Generalized hypergeometric functions, Cambridge University Press, London-New York, 1966MATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • Richard J. Sasiela
    • 1
  1. 1.Lincoln LaboratoryMassachusetts Institute of TechnologyLexingtonUSA

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