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atmospheric refractive index                                                attenuation by clear air  55



           Values of n  and c  vary at different times and places. The lin-  The consequences of (3) are  generally negligible for
                    0
                          e
           ear model assumes a constant negative gradient k of the index  radars operating below  the millimeter-wave frequencies
           of refraction:                                       (35 GHz to 140 GHz). (See ATTENUATION; PROPAGA-
                                                                TION;  RADAR, doppler;  RADAR, millimeter  wave).
                             nh () n – ×
                                  =
                                       k h
                                    0                           PCH
                                                                Ref.: Van Nostrand (1983); Currie (1987), pp. 9, 46.
           that results in the four-thirds approximation  widely used in
           radar range calculations. The ray bending for the exponential  An atmospheric window is a narrow portion of the electro-
           model is slightly greater at h = 0, but rapidly becomes less  magnetic spectrum for which the propagation losses due to
           than for linear model as altitude increases. The linear model is  signal attenuation are relatively low compared with  that of
           realistic at altitudes up to about 10,000 ft. (3 km), but predicts  adjacent regions. For example, at millimeter-wave frequen-
           excessive ray bending at higher altitudes. The main purpose  cies, radar operation is usually restricted to “windows” at 35,
           of atmospheric models is to provide an instrument to evaluate  95, 140,  220, and 440 GHz.  (See also  ATTENUATION).
           radar performance under the conditions of refraction in atmo-  PCH
           sphere.                                              Ref.: Currie (1987), p. 8; Brussard (1995).
               A scaled-up parameter called refractivity is defined as
                                                                ATMOSPHERICS are “transient bursts of electromagnetic
                                                                radiation arising from  natural electrical disturbances in the
                                       ×
                            N =  ( n –  1 )10 6
                              s    0                            lower  atmosphere.” The most  powerful  atmospherics arise
                                                                from thunderstorm electric discharges. When the wavelength
           The values N = 313 and c  = 0.1439/km are average for the
                                 e
                      s
           U.S. at sea level and typically regarded as a standard atmo-  is less than 20m, atmospherics practically have no effect upon
                                                                electronics hardware. SAL
           sphere model. SAL, PCH
                                                                Ref.: IEEE (1993), p. 61; Popov (1980), p. 43; Jordan (1985), p. 34.2.
           Ref.: Van Vleck, J. H., The Absorption of Microwaves by Oxygen, Physical
              Review 71,  April  1947, pp. 413–424; Currie  (1987); Blake  (1982),  ATTENUATION is the reduction  in  power  resulting from
              p. 182; (1980), p. 178; Skolnik (1980), p. 448.
                                                                absorption along an atmospheric path or in a circuit. The cir-
           Atmospheric turbulence.  The motion of air in the atmo-  cuit element intended to reduce power is an ATTENUATOR.
           sphere is usually accompanied by turbulence: the presence of  The following sections discuss unintentional attenuation in
           eddies of various sizes that migrate to become part of the  paths through the atmosphere and other environments.
           main airstream or of other eddies or that dissipate shortly
                                                                Attenuation by clear  air, for microwave frequencies, is
           after their formation. The result of turbulent flow is the trans-
                                                                defined primarily by the troposphere and depends on fre-
           port of  moisture, heat,  momentum, particulates, and atmo-
                                                                quency and the density of atmospheric gases, including water
           spheric pollutants.
                                                                vapor. Figure A96 shows the value of the two-way attenua-
               Turbulent flow created by friction between the land mass
           and the air is primarily responsible for the wind-speed profile
           between the location near ground level and about 500m alti-
           tude, which can be expressed as V = 10logh, where V is the
           wind velocity in knots, and h is the altitude in meters. This
           relationship describes a speed profile that increases rapidly
           with altitude, to  about 200m,  with a much slower  rate  of
           increase above this altitude. Turbulent airflow also occurs
           around large hills, mountains, canyons, and large man-made
           structures and is a characteristic of large cyclonic storms and
           other natural weather phenomena.
           Turbulence in the atmosphere can have several consequences
           for radar:
               (1)  It can spread the spectrum of rain and chaff clutter,
           wherein both the mean and standard deviation of velocity are
           such that the ability of a doppler radar to reject these clutter
           sources, without also rejecting valid targets, is compromised.
               (2)  Turbulence may increase the region of heavy pre-
           cipitation, causing significant radar signal attenuation, partic-
           ularly at microwave frequencies.
               (3)  Turbulence can cause irregular perturbations in the
           index of refraction of the atmosphere along the radar line of
                                                                  Figure A96 Attenuation coefficient vs. frequency for clear air
           sight, potentially introducing angle  errors as well as signal
                                                                  at sea level (from Barton, 1988, Fig. 6.1.1, p. 279).
           depolarization effects.
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