Page 149 - Satellite Communications, Fourth Edition
P. 149

Polarization  129

                                       E 1

                                                                            E 11
                                                     Depolarizing
                                                     medium







                                                                      E 12


                                                       (a)





                                       E 1

                                                                            E 11
                                                     Depolarizing
                                                     medium
                                                                         E 21






                                                                       E 12
                              E 2                                 E 22
                                                       (b)
                              Figure 5.11 Vectors defining (a) cross-polarization discrimination
                              (XPD), and (b) polarization isolation (I).

                                The second situation is shown in Fig. 5.11b. Here, two orthogonally
                              polarized signals, with magnitudes E and E , are transmitted. After
                                                                        2
                                                                 1
                              traversing the depolarizing medium, copolar and cross-polar components
                              exist for both waves. The polarization isolation is defined by the ratio of
                              received copolar power to received cross-polar power and thus takes into
                              account any additional depolarization introduced by the receiving system
                              (Ippolito, 1986). Since received power is proportional to the square of the
                              electric field strength, the polarization isolation in decibels is defined as

                                                                 E 11
                                                        I   20 log                       (5.18)
                                                                 E 21
   144   145   146   147   148   149   150   151   152   153   154