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In situ Grazing Incidence Small Angle X-ray Scattering on Roll-To-Roll Coating of Organic Solar Cells with Laboratory X-ray Instrumentation
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An empirical formula for computing the Beckmann-Spizzichino surface reflection loss coefficient.

R Coates1

  • 1Sch. of Inf. Syst., East Anglia Univ., Norwich.

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
|January 1, 1988
PubMed
Summary

A new empirical formula accurately calculates the reflection coefficient for rough sea surfaces. This formula, derived from the Beckmann-Spizzichino model, uses wind speed, incidence angle, and frequency, offering a simpler approach for radar and communication systems.

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Area of Science:

  • Oceanography
  • Electromagnetics
  • Applied Physics

Background:

  • Accurate modeling of sea surface reflection is crucial for radar, sonar, and communication systems operating over water.
  • Existing models, like the Beckmann-Spizzichino model, provide a basis for understanding electromagnetic wave interactions with rough surfaces.
  • Simpler, yet accurate, empirical formulas can enhance the efficiency of simulations and real-time applications.

Purpose of the Study:

  • To develop a simplified empirical formula for calculating the reflection coefficient of a rough-sea surface.
  • To ensure the new formula closely approximates the results of the established Beckmann-Spizzichino loss model.
  • To provide error contours for a quantitative assessment of the formula's accuracy.

Main Methods:

  • Derivation of an empirical formula based on the principles of the Beckmann-Spizzichino model.
  • Utilizing wind speed, angle of incidence, and frequency as key input parameters.
  • Generating error contours to visually and numerically compare the empirical formula with the parent model.

Main Results:

  • A simple empirical formula for sea surface reflection coefficient was successfully derived.
  • The formula demonstrates a close fit to the Beckmann-Spizzichino loss model across various parameters.
  • Error contour analysis confirms the high accuracy and reliability of the proposed empirical approach.

Conclusions:

  • The presented empirical formula offers a computationally efficient and accurate method for estimating sea surface reflection coefficients.
  • This simplified model is suitable for applications requiring rapid calculations, such as real-time radar processing and communication link analysis.
  • The findings validate the utility of empirical modeling in electromagnetics for complex natural surfaces.