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Related Experiment Videos

Theoretical wave structure function when the effect of the outer scale is significant.

Robert L Lucke1, Cynthia Y Young

  • 1Naval Research Laboratory, Washington, DC 20375, USA. robert.lucke@nrl.navy.mil

Applied Optics
|January 19, 2007
PubMed
Summary
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The wave structure function (WSF) calculation using Rytov theory overpredicts results when turbulence scales are not considered. New formulas accurately evaluate WSF for plane and spherical waves in various turbulence models.

Area of Science:

  • Atmospheric Optics
  • Wave Propagation

Background:

  • The standard Rytov theory provides a wave structure function (WSF) approximation: 6.88(r/r(0))(5/3).
  • This approximation neglects the significant effects of finite outer and inner scales of atmospheric turbulence.
  • Ignoring turbulence scales leads to overprediction of WSF, especially at smaller separation distances relative to the outer scale.

Purpose of the Study:

  • To provide accurate evaluations of Rytov formulas for wave structure functions.
  • To incorporate the impact of finite outer and inner scales of turbulence.
  • To develop simple, usable formulas for WSF calculations in different turbulence models.

Main Methods:

  • Accurate numerical evaluation of Rytov formulas for plane and spherical waves.
  • Analysis of wave structure functions within Kolmogorov and von Karman turbulence models.

Related Experiment Videos

  • Calculation of the structure function for the atmosphere's refractive index.

    • Main Results:

    • The basic Rytov WSF expression overpredicts by a factor of approximately 2 when the separation distance is 5% of the outer scale.
    • Accurate WSF values are derived for plane and spherical waves considering turbulence scales.
    • The study presents simple, easy-to-use formulas for these accurate WSF evaluations.

    Conclusions:

    • Accounting for finite turbulence scales is crucial for accurate wave structure function calculations.
    • The developed formulas offer improved precision over the basic Rytov approximation.
    • These findings are applicable to various atmospheric turbulence models and wave types.