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56    attenuation be clear air                                           attenuation in ground penetration



           tion coefficient k  for the average sea-level atmosphere as a  attenuation by fog (see attenuation by clouds).
                         a
           function of frequency. DKB
                                                                Attenuation by foliage is a severe problem in radar systems
           Ref.: Barton (1988), p. 279.
                                                                that must  observe targets through even  a  thin line of  trees.
           Attenuation by clouds is a function of frequency and cloud  Attenuation coefficients  are  measured in  dB/m, rather than
                                                         3
           density, as measured by condensed water density in g/m , or  dB/km. Typical values for different frequencies are shown in
           approximately by the visibility in meters. Figure A97 shows  Table A10 and Fig. A98.
           the two-way attenuation coefficient for different cloud or fog
                                                                                     Table A10
           conditions. DKB
                                                                                Attenuation in Foliage.
           Ref.: Barton (1988), p. 285.
                                                                   Frequency    Two-way k a
                                                                    (MHz)        (dB/m)           Reference
                                                                       82          0.05      Jakes
                                                                      210          0.08      Jakes

                                                                     9,400         2.2       Currie and Brown
                                                                    35,000         3.5       Currie and Brown

                                                                    95,000         4.5       Currie and Brown











             Figure A97 Attenuation coefficient of clouds and fog (from
             Barton, 1988, Fig. 6.1.6, p. 285).

           Attenuation by chaff is generally negligible. A chaff reflec-
           tivity  h  implies that this fraction of power entering a 1m
                 v
           cube will be scattered by the chaff, with 1  - h  transmitted
                                                  v
           through the cube. Thus, in chaff with the relatively high den-  Figure A98 Measured and calculated attenuation coefficient
                     - 6
           sity h  = 10 , the fraction scattered in passage through 1 km  for trees vs. frequency (from Currie, 1992, Fig. 2.19, p. 81).
                v
           will be 0.001, leaving 0.999 transmission, giving an effective
           attenuation coefficient k  = 0.004 dB/km for the transmitted  The calculated values represented by continuous curves
                               a
           wave. Even if the chaff were to absorb, rather than scatter, the  in Fig. A98 represent the results when the dielectric constant
           incident wave, the same attenuation coefficient would apply.  of the leaves is matched to fresh or salt water, or to an inter-
           Only in the immediate vicinity of chaff-dispensing apparatus  mediate mineral water model. At frequencies above UHF, the
           does the attenuation become significant. DKB         attenuation is such that a typical treeline may be regarded as
           Ref.: Barton (1988), p. 285.                         at impenetrable obstacle, beyond which the field strength may
                                                                be calculated by assuming knife-edge diffraction. DKB
           clutter attenuation  (see  MOVING TARGET INDICA-
                                                                Ref.: Currie (1987), pp. 170–174; Jakes (1974), pp. 107–110; Currie (1992),
              TION).                                               pp. 77–82
           Clutter attenuation  refers to the  rejection  of clutter in  an  attenuation by gases (see attenuation by clear air).
           MTI or doppler processor. The normalized clutter attenuation
                                                                Attenuation in ground penetration refers to the ability of
           is defined as the ratio of clutter-to-noise ratio at the processor
                                                                the transmitted signals to penetrate through the surface and
                                       (
           input to that at the output: CA º C/N) /(C/N) . (See MOV-
                                           i
                                                 o
           ING TARGET INDICATION; RADAR, doppler.) DKB          into the depths of the ground or other medium, such penetra-
                                                                tion being quite limited. Penetration can be characterized by
           Ref.: Barton (1988), p. 244.
                                                                the penetration depth for a given attenuation and by the atten-
           The attenuation coefficient is  the attenuation  per unit  dis-  uation coefficient, which is the attenuation per unit depth (see
           tance along the path in a given medium, usually expressed in  Table A11).  An  estimate of the  penetrating capability  is
           dB/km. It is expressed either as a one-way or two-way value,  needed when the radar targets are located beneath an attenuat-
           the  latter  applicable to the  radar  case where the  wave  ing medium. IAM
           traverses the path in both directions.               Ref.: Mel’nik (1980), p. 71
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