Turbulent Mixing Theory Applied to Radio Scattering
Turbulent Mixing Theory Applied to Radio Scattering
Richard a Silverman
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The meteorological equation for the dielectric constant is"- -' e - 1 = £ ["2. 11 X 10-^ + a( 2£^ - 0. 293) x 10"^], T *- where p is the pressure in mm. Of mercury, T is the temperature in degjTees Kelvin, and a is the percentage ratio of the partial pressure of water vapor - ID - to that of dry air. Neglecting the teim -0, 293, we find that the change in 6 due to a change in temperature is where A = 2, 11 x 10~, so that values of a of about 3 percent are inquired to double the effective value ...of Ao The change in e due to a change in a is T Thus, the relation between the structure function of the dielectric constant field and the structure functions of the temperature and humidity fields is D^(r) ^ (1 . ^f ( ^)2 D^(r) + 2300( ^ )\(r), where it is assumed that temperature fluctuations are independent of humidity fluctuations o The corresponding formula for the scattering cross section is 1 (Ag)2r(i. 96a)2 2^^3^32-j -OX^ T*^ L T ^ "^ J (8) ^ -fl ( ^ ^' '(1 * — )' S"' * 230OBf 1 L^/3 For comparison with experiment, we have chosen the South Dartmouth, Mass.
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