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atmospheric emission                                                         atmospheric refraction  53



           bandwidth B  is equal to kT B (1 - 1/L), where k = Boltz-  other storms that can create very high rates of rainfall, are
                      n
                                  a n
           mann’s constant, and L is the loss due to attenuation of the  other examples of atmospheric irregularities that, in this case,
           energy in passing (one way) through the atmosphere. Because  cause severe radar attenuation and clutter at microwave fre-
           of the term (1  - 1/L), this  noise is greatest when  the  radar  quencies. Strong winds and turbulence in any localized or iso-
           antenna is oriented along the horizon (exposure to the maxi-  lated pattern, such as that produced by  the jetstream, can
           mum amount of atmosphere), and least when the antenna is  cause anomalies in the index of refraction that fit the category
           pointed straight up (minimum amount of atmosphere).   of atmospheric irregularities. (See  also  PROPAGATION,
               Lightning strokes from storms in the atmosphere produce  ATTENUATION, atmospheric turbulence.) PCH
           an additional source  of atmospheric RF emission, called
                                                                atmospheric loss  (see  ATTENUATION;  LOSS, atmo-
           atmospheric  noise.  A commonly occurring phenomenon,
                                                                   spheric).
           lightning radiates considerably energy at low frequencies and
           over great distances. The spectrum of atmospheric noise pro-  atmospheric noise (see NOISE).
           duced by lightning falls off rapidly with frequency, however,
                                                                Atmospheric refraction is the term describing change in the
           and is of little consequence for frequencies above about 50
                                                                direction of travel of  radiation passing obliquely from one
           MHz (see ATMOSPHERICS).
                                                                medium to another. Refraction is “the change in direction of
               Atmospheric  emissions  in the  form of atmospheric
                                                                propagation resulting from the spatial variation in refractive
           absorption noise (thermal) and atmospheric noise (lightning)
                                                                index of the medium.” In empty space and in uniform propa-
           are two of the environmental noise sources that affect a radar
                                                                gation media the ray paths are straight lines, while in most
           or other RF receiver. Other sources include solar (or galactic)
                                                                media (e.g., the atmosphere) the paths deviate from straight
           noise, ground noise, and man-made sources of interference.
                                                                lines due  to variation  in  refractive index. In  radar applica-
           (See NOISE). PCH
                                                                tions, atmospheric refraction occurs in the troposphere and in
           Ref.: Lawson (1950), pp.103–108; Skolnik (1962), pp. 368–369.
                                                                the  ionosphere, chiefly as a result of variation  in refractive
           The exponential reference atmosphere is described by an  index with altitude. In the troposphere the variation results
           exponential approximation for the refractive index  n of the  from changing density of atmospheric gases and is essentially
           troposphere as a function of altitude. For all radar frequencies  independent of frequency, while in the ionosphere it is from
           this can be expressed in terms of a refractivity:    varying electron density and is strongly frequency-dependent
                          1
              N(h) = n(h) -  = 313exp(-0.1439h) = 313exp(-h/7)  (see atmospheric refractive index). In most radar applica-
           where h is the altitude above sea level, in kilometers, and the  tions it is only the tropospheric effect that need be considered,
           sea level value  N(0) = 313. See  atmospheric refraction;  but when the path extends to altitudes above about 100 km it
           PROPAGATION. PCH                                     may be necessary to consider also the ionosphere, especially
           Ref.:  Bean, B. R., and  Thayer,  G. D.,  “On  Models  of the Atmospheric  for radars at UHF and lower frequencies.
              Refractive Index,” Proc. IRE 47, no. 5, May 1959, pp. 740–755; Blake  In Fig. A93, if i is the angle of incidence (the incoming
              (1980), p. 183.
                                                                wave) and r the angle of refraction (the outgoing wave), the
           Atmospheric irregularities. Earth’s atmosphere affects the  refraction is determined from  Snell’s Law: sini = nsinr, in
           transmission and reception of radar  (and communications)  which n is the index of refraction. Physically, n is the ratio of
           signals in several ways, most importantly: attenuation of the  the velocity of the disturbance in the first medium to that in
           signal,  bending of the  radar wave  from  a  straight path  the second.
           (through refraction and diffraction), and corruption of the sig-
           nal with additive noise. The concept of a standard atmosphere
           has been developed to describe the principal physical charac-
           teristics of the atmosphere (temperature, pressure, humidity,
           wind speed, etc.) as a function of altitude, for more or less
           “average”  conditions.    Using this model, the  atmospheric
           effects on specific radar and communications systems are pre-
           dictable.
               We  also  know, however, that the  troposphere, the
                                                                                                  r
           weather-producing part of the atmosphere, is in a state of con-
           tinual  change. Significant departures  from the conditions         i
           defined for the standard atmosphere can be termed  atmo-
           spheric irregularities; one example of which is a temperature
                                                                  Figure A93 Law of refraction.
           inversion, where the earth's surface is cool compared with the
           air above it. The temperature inversion may create conditions  Radar waves passing through the earth's atmosphere are
           suitable for the formation of a superrefracting duct, whereby  bent downward by the changing refractive index of the tropo-
           the energy from radars radiating into the duct at very shallow  sphere and then by the ionosphere. This produces an error in
           angles may be refracted along the earth’s curvature to great  elevation angle measurement, the ray at the antenna having a
           distances. Weather effects, such as hurricanes, tornados, and
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