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attenuation in ground penetration                                              attenuation by snow  57



                                 Table A11                      Attenuation for laser radar is sensitive to the wavelength
                                                                and atmospheric  conditions. Atmospheric  windows exist  in
                  Penetration Capability of Radar in Various Media.
                                                                the bands 8–14 m m, 3–5 m m, 0.7–2.5 m m, and in the visible
                          Wave-    Attenuation   Penetration    spectrum. Within these windows, strong absorption regions,
               Medium      length   coefficient,  depth for 20 dB   due to water vapor and CO , are present near 1.4, 1.9, 2.7,
                                                                                       2
                           (cm)      (dB/m)    attenuation, (m)  and 4.3  m m. The attenuation coefficients for  other atmo-
                                                                spheric components are shown as a function of wavelength in
            Snow             10       0.3          67
                                                                Fig. A100.
                            100       0.036       520
            Frozen soil     300       4.2           4.5
            Dry soil        500       0.8          25
            Dry sandy soil    3     300             0.07
              with 3%        60       3             6.7
              moisture
            Dry clay soil     3     300             0.07
                             60      14             1.4
           Attenuation by hail is critically dependent on the size distri-
           bution and surface condition of the hailstones. Presence of a
           water film greatly increases the attenuation. Values calculated
           for typical  hail  with diameter of 2.9  cm are shown  in
           Table A12. DKB
           Ref.: Sauvageot (1992), pp. 109–110.
                               Table A12
                           Attenuation in Hail

                   Frequency       Two-way k (dB/km)
                                           a
                    (GHz)          Dry          Wet
                                                                  Figure A100 Approximate variation of attenuation coefficients
                      9.4          3.3          7.6               with laser wavelength, at sea level for various atmospheric
                                                                  conditions, excluding H O and CO  components (from Jela-
                                                                                   2
                                                                                           2
                      5.5          0.67         5.2               lian, 1992, Fig. 2.3, p. 65).
                                                                    Attenuation in fog, rain, and snow has little dependence
                      3.0          0.07         2.4
                                                                on wavelength but is dependent on water droplet density or
           attenuation by ice (see attenuation by hail).        precipitation rate, as shown in Fig. A101. DKB
                                                                Ref.: Jelalian, 1992, pp. 72–74.
           Attenuation by the ionosphere is negligible above the UHF
           band, and small even at VHF. Figure A99 shows the total one-  Attenuation by particulates, smoke, and aerosol has been
           way attenuation through the ionosphere, as a function of fre-  calculated under various assumptions,  the results generally
           quency, for paths at 0 and 90°  elevation. DKB       indicating that there will be little effect on radars even in the
                                                                millimeter-wave bands. DKB
           Ref.: Berkowitz (1965), p. 376.
                                                                Ref.: Currie (1992), pp. 82–90.
             1000
                                                                attenuation  by precipitation (see  attenuation by  hail,
                                                                   snow, or rain).
             Frequency (MHz)  500       E = 0, daytime          Attenuation by rain is  a severe problem for radars in the
                                                                upper microwave  and millimeter-wave  frequencies. Figure
                                                                                                        a
                                o                               A102 shows the two-way attenuation coefficient k  as a func-
              200             E = 90  , daytime                 tion of frequency for different rainfall rates. DKB
                                                                Ref.: Barton (1988), p. 283.
                     E = 0, nighttime
                                                                Attenuation by snow is much less than that for rain with the
              100
                0.01  0.02     0.05  0.1    0.2     0.5   1.0   same water content. Figure A103 shows the one-way attenua-
                                  Attenuation (dB)
                                                                tion coefficient as a function of precipitation rate (in mm/h of
             Figure A99 Ionospheric attenuation as a function of frequency,   water) for dry snow. DKB
             one-way transmission path (after Berkowitz, 1965, Fig. 1.32,   Ref.: Sauvageot (1992), p. 110; Blake (1982), p. 214.
             p. 376).
                                                                attenuation by trees (see attenuation by foliage).
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