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FEED LINE BASICS                                                        343


            6.  Meanwhile, the reflected  wave  moves toward the forward wave,  i.e.  its propagation
               coefficient is negative  with  respect to  forwarding  one.  Besides, the reflected  wave
               movement and bias are matched now. That brings the second sign  minus defining the
               rotation direction of a propagating wave in ferrite. Since the product of two minuses is one
               plus the polarization vector of reflected  wave turns  extra  45 degrees  counterclockwise
               (second long blue dot vector in Figure 6.8.2).
            7.  Finally, because the blue vector is parallel to R-card surface, the return wave decays rapidly
               but  not  entirely.  The  long  R-card  might  increase  the  isolator  length  and  weight,
               consequently.
            8.  The remaining portion of return wave proceeds to the input WR with linear polarization
               perpendicular to its broad wall that correspondents to nonpropagating high TE01-mode in
               standard WR. If so, the return wave reflects back completely to the R-card keeping its
               polarization, decays for the second time, now almost entirely. Check that the something
               left comes back to the second R-card to be aligned and absorbed again.

            In spite of their complexity, the family of Faraday isolators has critical advantages working
            quite well at any frequencies between ~100 MHz (see restrictions in Figure 2.7.4 in Chapter 2)
            to at last ~1 THz (wavelength 300 nm belongs to UV optical spectrum) and at high or very high
            level of peak and average power.

            6.8.4   Phase Shifter
            There is a wide variety of ferrite phase shifters in almost any type of feed lines. They could be
            reciprocal or non-reciprocal, fixed or electronically variable, digital or analog, with memory or
            without. The reciprocal ones are based on the phenomenon that the permeability in magnetized
            ferrite depends on the external bias typically created by the solenoid. They are developed such
            way that the forward and backward waves acquit the same phase shift.
            The non-reciprocal ones are constructed in the fashion that the wave moving forward through
            a  ferrite sample has,  for example, CP polarization of   ()  at frequencies  faraway from
                                                           +
            ferromagnetic resonance to avoid high loss. Meanwhile, the wave moving in opposite direction
            through the same sample has CP polarization  (). We demonstrated this effect above on WR
                                                 −
            example in Section 6.6.4 of this chapter. Due to differences in ferrite permeability  , each
                                                                                 ±
            wave gets its own individual phase shift.
            The term “with memory” means that ferrite as any magnetic material with hysteresis has the
            ability to sustain a particular magnetization level without the need for a continuously holding
            bias field (look at Figure 2.6.3 in Chapter 2). This property significantly reduces the power
            consumption for bias source since the required for magnetization electric power spends just for
            switching from one magnetic state to another but not during the state itself. So-called self-bias
            ferrites remain  magnetized in the absence of external bias field. To get this  effect,  the
            microscopic ferrite grains of  a size of the single  magnetic domain are oriented in external
            magnetic field, pressed, and fused together under heat. After that, the ferrite compound remains
            magnetized in the absence of  an  external  field.  As a result, the  “magnet-less” microwave
            components do not comprise heavy and bulky bias magnet and are regularly tenfold smaller
            and lighter than traditional ones [18].

            As we demonstrated above describing Faraday rotation, the magnetized ferrite exhibits itself as
            the medium with the permeability  () (see (2.97) in Chapter 2) depending on CP orientation
                                        ±
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