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DISCONTINUITY IN FEED LINES                                             365



            One more outcome is worthwhile to be mentioned. Evidently, the presence of discontinuity in
            regular slotline that disturbs quasi-TEM mode field structure should be the source of active
            radiation too. Curiously, the highest portion of the radiation is emitted through the bottom
            surface of the substrate as it follows from Figure 7.2.1c. That is why the ground plane on this
            surface lessens the radiation radically but makes the line production more complicated and
            expensive.
            7.2.3   Waveguide Discontinuities

            Table 7.2 illustrates the underlying discontinuities in WR, and they are common in wide variety
            of hollow waveguides. Mostly, the equivalent circuits of all these discontinuities were built by
            examining the nearby E-  and H-field energy distributions. We classify discontinuities as
            inductors while in this area  >  , capacitors if  >  , and parallel or series resonance
                                         
                                                       
                                                            
                                    
            circuits when  =  . Meanwhile, the frequency dependence lets  identify the resonance
                              
                         
            circuit as parallel if at frequencies bellow resonance the circuit impedance is inductive and
            capacitive above. Generally, the EM field structure in WR  with discontinuities and their
            equivalent circuits are more complicated than in lines with TEM or quasi-TEM modes. As such,
            the data in Table 7.2 should be considered as the first order approximation. WR-90 (or RG-
            52/U) was chosen as the base for the following discussion. This WR outer dimensions a x b and
            wall thickness t are 25.4x12.7x1.27 mm (or 1x0.5x0.05 inches), the dominant TE10-mode cutoff
            frequency  is 6.56 GHz, and  regular  WR of  infinite length  is  free  of  higher  modes
            while 6.56 GHz <  < 13.02 GHz. Typically, the recommended operational bandwidth is 8.2
            GHz – 12.40 GHz to avoid the cutoff proximity of dominant and first high TE20-mode. We have
            discussed such single mode issue in Chapter 6.




















                   Figure 7.2.2 Inductive iris: a) H- and E-field energy distribution, b) Smith chart

            The family of the simplest discontinuities is the so-called irises (sometimes diaphragms) or the
            relatively thin and highly conductive metal plates covering the cross section of WR partially.
            The shape of iris windows could be arbitrary as well as the iris orientation and restricted mainly
            to available manufacturing technology and cost production. The most commons are the flat
            metal sheets placed at right angle to the longitudinal WR axis (see images in Table 7.2). We
            kept the irises thickness in numerical simulations around 2 mm thereby much less than the
            operation wavelengths. The red vector indicates the E-field orientation of dominant mode TE10.
            Inductive irises. Let us start from an inductive iris shown in column 1 of Table 7.2. Figure
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