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4 - Spatial Covariance

Published online by Cambridge University Press:  15 December 2009

Albert D. Wheelon
Affiliation:
National Oceanic and Atmospheric Administration, District of Columbia
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Summary

The similarity of signals measured at adjacent receivers is an important feature of electromagnetic scintillation. The way in which their correlation decreases with their separation provides a powerful insight into such phenomena. We discussed the correlation of phase fluctuations measured at nearby receivers in Volume 1. We found there that the phase difference defines the angular accuracy of direction-finding systems and the resolution of interferometric imaging techniques.

In this chapter we will investigate the correlation of signal amplitudes and intensities measured at adjacent receivers. This type of experiment played a crucial role in the development of scintillation physics. Optical measurements of intensity correlation on short paths first validated the description based on Rytov's approximation and Kolmogorov's model of atmospheric turbulence. These experiments were later replicated with microwave and millimeter-wave signals on longer paths.

Diffraction patterns are created on the ground when starlight is scattered by tropospheric irregularities. These patterns are correlated over tens of centimeters and are sometimes visually apparent at the onset of solar eclipses. Astronomical signals are thus spatially correlated over distances that are smaller than most telescope openings. This means that the arriving field is coherent over only a modest portion of the reflector surface. The light-gathering power of astronomical telescopes is limited by this effect unless modern speckle-interferometry techniques are used to reconstruct the original wave-front.

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Publisher: Cambridge University Press
Print publication year: 2003

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  • Spatial Covariance
  • Albert D. Wheelon, National Oceanic and Atmospheric Administration, District of Columbia
  • Book: Electromagnetic Scintillation
  • Online publication: 15 December 2009
  • Chapter DOI: https://doi.org/10.1017/CBO9780511534812.005
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  • Spatial Covariance
  • Albert D. Wheelon, National Oceanic and Atmospheric Administration, District of Columbia
  • Book: Electromagnetic Scintillation
  • Online publication: 15 December 2009
  • Chapter DOI: https://doi.org/10.1017/CBO9780511534812.005
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Spatial Covariance
  • Albert D. Wheelon, National Oceanic and Atmospheric Administration, District of Columbia
  • Book: Electromagnetic Scintillation
  • Online publication: 15 December 2009
  • Chapter DOI: https://doi.org/10.1017/CBO9780511534812.005
Available formats
×