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loss, antenna                                                            loss, antenna pattern factor  246



               (2) Nonohmic losses in mainlobe (on-axis) gain, describ-
           ing factors  that spread the  radiation pattern  (notes 1,  10).
           These affect both directive and power gain.
               (3) Factors that prevent the full on-axis  gain of  the
           antenna from being brought to bear on the target (notes 3, 4).
           These factors are normally included in the pattern-propaga-
           tion factor and are dependent on the target position relative to
           the beam (and on target and antenna polarizations).
           The treatment of these losses in the radar equation is indi-
           cated by the notes to the tables. In the case of the beamwidth
           factor, it applies only to the search radar equation, and results
           from the assumption there that the transmit antenna gain can
           be replaced with the term 4p/q q .
                                    a e
               The total antenna loss describes the reduction in antenna
           power gain G relative to G  for the ideal (uniformly illumi-
                                 0
           nated (lossless) antenna of the same aperture area A. This loss
           is normally expressed  by its reciprocal, the aperture effi-  Figure L16 Typical search radar vertical coverage plot, show-
           ciency h :                                             ing the antenna patter factor as the dashed curve for free-space
                  a
                                                                  coverage (from Barton, 1993, Fig. 2.36, p. 69).
                                       4pA
                            G =  G h =  ----------h
                                 0 a    2  a
                                       l                                                               2
                                                                (see  beamshape loss).  For a raster scan,  L   is used to
                                                                                                      p
           where the aperture efficiency is the product of several compo-
                                                                account for random target positions in both coordinates, rela-
           nents:
                                                                tive to the beam axis positions, and the pattern factor is used
                                h hh h h h
                            h a =  d i f  b s st                only  in  calculation  of reflection lobing. In a nonscanning
           The components are defined in Table L6. In some cases, the  radar f(q,f) would be included in the pattern-propagation fac-
           transmit and receive antennas have different characteristics,  tor to account for the reduced gain on a target at those known
           and  the components for the  two  must be stated  separately  coordinates.
           (often using additional subscripts t and r for each component)
               The dissipative (ohmic) portion of receive antenna loss               Table L6
           must be included in calculation of system noise temperature,     Antenna Efficiency Components
           in addition to including its effect on antenna  gain. In  the
                                                                    Component       Symbol      Brief description
           search radar equation, the antenna dissipative  loss  must be
           included in the system loss factor (doubled for two-way loss
                                                                 Dissipative [ohmic]  h  = hh   Ohmic loss in RF compo-
                                                                                        f f
                                                                                    d
           if the physical receive  aperture is used instead  of effective
                                                                                     = 1/L a  nents
           aperture). DKB
           Ref.: Johnson (1984), pp. 1.6–1.9.                    Feed              h f       Ohmic loss in feed
                                                      ),
           The antenna pattern factor [loss], denoted by f(q,f repre-  Phase shifter  h      Ohmic loss in phase
           sents the one-way voltage gain pattern of the antenna, as a              f        shifters
           function of angles q and f (normalized to its maximum, on-
           axis, gain). For a radar that scans in one coordinate (e.g., f),  Taper [illumination]  h i  Design taper for reduced
                 ) for the nonscanning coordinate is included as a com-
           f(q - q                                                                           sidelobes
                b
           ponent of the pattern-propagation factor, accounting for the  Blockage  h         Reflector blockage by
           position of the target relative to the beam axis angle q  in that        b        feed and supports
                                                      b
           coordinate (usually elevation). Thus, in the typical radar cov-
           erage plot (Fig. L16), the dashed curve for free-space cover-  Spillover  h s     Fraction of power not
           age represents the antenna elevation pattern factor, relative to                  intercepted by reflector
           unity value at the peak of the beam (q  = 1°in this case). For a  Surface tolerance  h  Effect of phase error rela-
                                         b
           discussion of the lobing pattern, see PROPAGATION, pat-                  st       tive to precise surface
           tern-propagation factor.
               To account for random target positions in the scanning  In summary, off-axis target position is accounted for sta-
           coordinate, the beamshape loss L  for targets at random loca-  tistically, in the scanned  coordinate(s), through  the beam-
                                      p
           tions relative to the peak of the beam, is used in the denomi-  shape loss. In the nonscanned coordinate, when a  coverage
           nator of the range equation, replacing  the antenna pattern  pattern is prepared, it is accounted for through the systematic
                                                       4
                  4
           factor f (q) as part of the pattern-propagation factor F  in the  change in pattern-propagation factor F (and hence in cover-
           numerator, since L  represents the average value of [1/f(q)] 4  age range), as a function of that coordinate. In that case, the
                          p
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