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Radar System Engineering

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60 TIIE RADAR EQUATION [SEC.2.15<br />

wtivelengths, in contrast to the behavior of the water-vapor curve, a<br />

residual absorption persists up to wavelengths of the order of 30 cm.<br />

This effect is small enough to have escaped experimental detection,<br />

butitis clearly predicted by the theory.’ Except near thecenter of the<br />

absorption maximum, the attenuation due to oxygen should vary about<br />

as the s~uare of the pressure; hence the effect rapidly diminishes at<br />

high altitudes. It is perhaps unnecessary to remark that attenuations<br />

Wavelengthin cm<br />

F,c. 216.-Attenuation caused by water vapor (Curve a) and oxygen (Curve b).<br />

Curves appliesto an atmospherecontaining10goi water vapor per m3. Curve b applies<br />

to an atmospherewhichisone fifth oxygen, at a total pressureof 76cm Hg.<br />

due to independent causes, such as water vapor and oxygen, are directly<br />

additive.<br />

Water drops in the atmosphere can affect the passage of microwave<br />

radiation in two ways. In the first place liquid water is a very imperfect<br />

dielectric at microwave frequencies, and absorbs energy from an oscillating<br />

electric field just as any 10SSYdielectric WOuld. . For extremely small<br />

drops, such as those in fog or clouds, this is the only important effect,<br />

and in this limiting case the attenuation at a given wavelength is simply<br />

proportional to the aggregate liquid water content of the atmosphere,<br />

1J H. Van Vleck, op. cit.; seealso Vol. 13.

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