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FEED LINE BASICS                                                        345



            differential phase shifter switches [19] used as RF power commutator at very high peak (from
            tens to hundreds of kilowatts) and average power levels (from hundreds to thousands of watts).
            6.8.5   Resonance Isolators

            Note that a nonreciprocal phase shifter can be transformed into two-port unidirectional device
            called a resonance isolator by establishing the bias intensity such as the wave with CP  ()
                                                                                    +
            reaches the ferromagnetic resonance and dissipates in ferrite. As soon as the wave changes the
            direction of its propagation to  opposite, i.e.  → −,  the  wave CP switches to  ()  and
                                                                                −
            propagates almost  without loss.  In general, isolators are  built-in  between the  sensitive to
            mismatch generator (mostly solid-state) and the load that reflects the sizable portion of RF
            power back to generator hurting its performance thereby reducing its output power, initiating
            electrical or thermal breakdown, etc. Evidently, the forward wave coming from the generator
            should be  () relative to positive bias direction. Then the backward wave polarized as  ()
                                                                                    +
                     −
            is almost entirely lost being absorbed inside ferrite. The latter is a serious disadvantage of
            resonance isolator because the ferrite is heated twice, i.e. by forward wave first slightly and
            then by absorbed backward wave energy. The excessive temperature increase in ferrite stub
                                                     might lead to quite severe degradation by
                                                     destroying it, shifting the resonance
                                                     frequency, increasing forward  wave loss,
                                                     etc. The isolators based on circulating and
                                                     displacement effect (see below) perform
                                                     much better. Consequently, they are used
                                                     more frequently.
                                                     6.8.6    Effect of Field Displacement

                                                     Looking back at Figure 2.7.3b in Chapter 2,
                                                     we  can  realize  that at  frequencies  below
                                                     ferromagnetic resonance  (  < 1)  the
                                                                            ⁄
                                                                               0
                                                     permeability   ()  could be  negative.
                                                                  ′
                                                                  +
                                                     This   phenomenon   is  helpful  in
                                                     development of the wide variety of ferrite
                                                     devices like WR isolator depicted in Figure
                                                     6.8.4a, b. The relatively thin ferrite stub is
                                                     placed in WR and shifted close to the left
                                                     side wall  where  the H-field of  forward
                                                     wave  should have  CP   ().  If so, the
                                                                          +
                                                     intensity   (red vector) of external bias is
                                                              0
                                                     adjusted such  way that the  ferrite
                                                     permeability  () < 0 in area nearby the
                                                                 ′
                                                                 +
                                                     right  stub surface  (Figure  6.8.4a). The
                                                     negative permiability  means that the
                                                                      ′
                Figure 6.8.4 Displacement phenomenon   wavenumber  ~� ()  defining the
                                                                      +
                illustration: a) Forward wave, b) Return   wave propagation in  magnetize ferrite is
                wave, c) Forward and backward loss vs.   pure imaginary and corresponds to reactive
                            frequency                component in the longitudinal Poynting’s
                                                     vector.  Meanwhile,  Poynting’s theorem
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