Page 49 - Fundamentals of Radar Signal Processing
P. 49

(1.10)


               Though both higher and lower values are possible, typical radar antennas have

               gains from about 10 dB for a broad fan-beam search antenna to approximately
               40 dB for a pencil beam that might be used for both search and track.
                     Effective  aperture  A   is  an  important  characteristic  in  describing  the
                                               e
               behavior of an antenna being used for reception. If a wave with power density
               W W/m  is incident on the antenna, and the power delivered to the antenna load
                        2
               is P, the effective aperture is defined as the ratio (Balanis, 2005)





                                                                                                       (1.11)

               Thus, the effective aperture is the area A  such that, if all of the power incident
                                                                e
               on  the  area  was  collected  and  delivered  to  the  load  with  no  loss,  it  would

               account  for  all  of  the  observed  power  output  of  the  actual  antenna.  (Note,
               however, that A  is not the actual physical area of the antenna. It is a fictional
                                  e
               area  that  accounts  for  the  amount  of  incident  power  density  captured  by  the
               receiving antenna.) Effective aperture is directly related to antenna directivity,
               which in turn is related to antenna gain and efficiency. For most antennas, the
               efficiency  is  near  unity  and  the  effective  aperture  and  gain  are  related  by
               (Balanis, 2005)






                                                                                                       (1.12)

               Two more useful antenna concepts are the antenna phase front (or wave front)
               and phase center (Balanis, 2005; Sherman, 1984). A phase front of a radiating
               antenna is any surface on which the phase of the field is a constant. In the far-
               field,  the  phase  fronts  are  usually  approximately  spherical,  at  least  over

               localized regions. The phase center of the antenna is the center of curvature of
               the  phase  fronts.  Put  another  way,  the  phase  center  is  the  point  at  which  an
               isotropic radiator should be located so that the resulting phase fronts best match
               those of the actual antenna. The phase center concept is useful because it defines
               an  effective  location  of  the  antenna,  which  can  in  turn  be  used  for  analyzing
               effective  path  lengths,  Doppler  shifts,  and  so  forth.  For  symmetrically

               illuminated aperture antennas, the phase center will be centered in the aperture
               plane,  but  may  be  displaced  forward  or  backward  from  the  actual  aperture.
               Referring to Fig. 1.5, the phase center would occur at y = 0, but possibly x ≠ 0,
               depending on the detailed antenna shape.
                     Another important type of antenna is the array antenna. An array antenna
               is one composed of a collection of individual antennas called array elements.
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