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DISCONTINUITY IN FEED LINES                                             367



            Meanwhile, the E-field vector is tangential to the iris PEC (perfect electric conductor) surface
            and  must  vanish on it according  to the boundary condition.  As  such, the electric energy
            concentration around the iris is quite low,  >   and, as expected, the equivalent circuit is
                                               
                                                     
            a lump inductor at all frequencies (see Smith chart in Figure 7.2.2b). All shown  fields are
            normalized to their peak and demonstrated on log scale between -5 dB and -40 dB. The two
            tangential components   and   of incident TE10-mode generate the vertical component of
                                       
                                
            the surface electric current   . In its turn, this current reradiates exerting the numerous TEm0-
            modes. Although each of these extra modes neither satisfies the zero boundary condition on
            iris, they do it as a group forming the composite near-field structure. Note that the incident,
            reflected and going through TE10-mode are contained within this group.

            Capacitive irises. The same way, we can identify the iris in column 2 of Table 7.2 as a primarily
            lumped capacitor. Noticeably, E-field energy accumulates in the gap between the iris body and
            top WR wall as depicted in Figure 7.2.3a. Although  >  , the concentration of H-field as
                                                         
            well the     component of surface current is quite substantial near the sharp iris edges, i.e. 
                                                                                       
            just slightly overpasses  . It explains why the value of lump capacitive impedance shown in
                                
            Figure 7.2.3b is relatively low.















             Figure 7.2.3 Capacitive and resonance iris: a) H- and E-field energy distribution around the
            capacitive iris, b) Impedance variation of capacitive iris, c) Impedance variation of resonance
                           iris, d) Impedance variation of suspended resonance iris

            Resonance irises. Now, we know what will happen if we comprise the capacitive and inductive
            irises at the same WR cross section as shown in column 3 of Table 7.2. It just means that the
            lumped  capacitor  and  inductor  are  connected  in  parallel  to  some  resistive  impedance
            proportional to WR characteristic impedance (typically in the range of hundred Ohms) that
            restricts the quality Q and bandpass of such resonance circuit. Smith chart in Figure 7.2.3c
            illustrates the impedance deviation of resonance iris over the frequency. The impedance is
            inductive at frequencies below the resonance, crosses the chart origin (the point of no reflection)
            at 9.238 GHz and  then  becomes capacitive. In other words,  the iris behavior  resembles  a
            standard parallel resonance contour. The obvious application of such irises is quite compact
            bandpass filters  where  one thin  sheet  iris  replaces the  whole resonance circuit like cavity
            resonator. Another common application area is ultra-high power vacuum tube like magnetrons,
            klystrons, and gyrotrons. The latter is capable of generating a hundred megawatts of microwave
            power and widely used in ground and space communication systems, radars, nuclear science,
            plasma and material heating, EM warfare systems, etc. What is not obvious is how to preserve
            the deep vacuum inside the tube and at the same time transfer EM power to the outside feed
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