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Base Station Antennas for Mobile Radio Systems        61

                  as >30 dB. The target isolation for an individual tier should be at least
                  this, or perhaps >33 dB, but even if perfect isolation is obtained for a
                  single tier, the mutual impedances between tiers will generally reduce
                  this to around 26 dB, especially for small values of beamtilt. The required
                  isolation can be restored by introducing some intentional compensating
                  coupling. When considering the XPI of a single element pair, coupling may
                  occur because of lack of symmetry in the element or in its environment
                  in the array. A dipole square configuration (Figure 2.6) is symmetrical if
                  the individual dipoles are driven through effective baluns, but a crossed
                  dipole always has some degree of asymmetry caused by the feed method at
                  its center. A square or circular patch or stacked patch is asymmetric unless
                  two balanced feed points are provided in each polarization plane.
                    Figure 2.13 shows two mechanisms that cause cross-polar coupling
                  in a simple linear array of crossed ±45° elements. Element 2R (solid)
                  is isolated from element 2L, but it couples to elements 1L and 3L. The
                  currents induced in the reflector surface flow in a diagonal direction
                  parallel with the elements, but at the edge of the reflector currents
                  induced by both ±45° elements can only flow parallel with the edge,
                  causing coupling between 2R and 2L.
                    The mechanisms of element-pair coupling, coupling via edge currents,
                  and intertier coupling all have different path lengths associated with
                  the coupled energy, so they cannot all be compensated in the same way.
                  Coupling between the element pair may best be compensated by some
                  corresponding asymmetry on or near the elements; coupling caused by
                  currents along the reflector edges may require compensation by per-
                  turbing the fields at the edges of the reflector, whereas intertier coupling
                  may require compensating coupling between selected adjacent tiers. An
                  effort to offset these separate coupling mechanisms by a single means
                  of compensation is likely to lead to a solution that works well over part
                  of the band but fails elsewhere. The best tactic is to separate the effects,
                  using simulation and experiment, and compensate each mechanism at
                  source.





                        Reflector edge








                  Elements    #1 Left        #2 Right, #2 Left         #3 Left
                  Figure 2.13  Intrinsic cross-polar coupling mechanism
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