Accession Number:

AD0720869

Title:

Temporal Frequency Spectra of Multifrequency Waves in a Turbulent Atmosphere.

Descriptive Note:

Technical rept.,

Corporate Author:

WASHINGTON UNIV SEATTLE DEPT OF ELECTRICAL ENGINEERING

Personal Author(s):

Report Date:

1970-11-01

Pagination or Media Count:

47.0

Abstract:

General formulations for temporal frequency spectra of the fluctuations of plane, spherical and beam waves operating at two frequencies are given based on weak turbulence and frozen-in assumptions. The cross spectra and the coherence are obtained for the amplitude at two frequencies, the phase at two frequencies, and the amplitude at one frequency and the phase at another frequency. The results are examined in detail for a plane wave case. For the spectrum of the index of refraction Rappa to the -nth power in the inertial subrange, the amplitude spectrum behaves as K to the power5-n2 for omega approaches zero and k squaredomega to the power 1-n for omega approaches infinity. The phase spectrum for omega approaches zero and for omega approaches infinity behaves as k squaredomega to the power 1-n with different constants. These results agree well with the experimental work of Janes, Thompson, Smith, and Kirkpatrick at 9.6 GHz and 34.5 GHz, and explains the ratio of the spectra at two frequencies. Also noted is the experimental slope of -2.6 as omega approaches infinity which may be compared with 1 - n -2.66 using the Kolmogorov spectrum of n 113. Author

Subject Categories:

  • Meteorology
  • Radiofrequency Wave Propagation

Distribution Statement:

APPROVED FOR PUBLIC RELEASE