Temporal radio frequency spectra of multifrequency waves in a turbulent atmosphere characterized by a complex refractive index

Mathematics – Complex Variables

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Atmospheric Refraction, Atmospheric Turbulence, Microwave Transmission, Radio Spectra, Refractivity, Turbulence Effects, Complex Variables, Energy Dissipation, Frequency Response, Radar Transmission, Radio Transmission, Superhigh Frequencies, Ultrahigh Frequencies, Wave Dispersion

Scientific paper

Temporal RF spectra of multifrequency waves are studied to obtain estimates of short-term random fluctuations (lasting fractions of a second) traversing turbulent media. Attention is centered on radio or radar waves traversing the clear atmosphere (as in the case of S-band 100 km links or K-band 10 km links) with turbulence scale in the range from 10 m to 1 km. Ishimaru's (1972) solution is extended to the problem for temporal frequency spectra of multifrequency waves in a turbulent clear atmosphere. A complex index of refraction expressing a frequency dependence facilitates simulation of lossy dispersive paths. The complex-valued refraction index is useful in characterizing effects of gases or water vapor on radio wave propagation in the case of clear air turbulence.

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