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FEED LINE BASICS                                                        335



            are very low. So we made assumption that the magnitude of going through all lines incident
            wave stays constant thereby neglecting the multiple wave reflected back and forth in each line
            section. Certainly, our analysis can be updated to include all this effects but it then loses its
            physical simplicity and appeal.  It  is worthwhile  to note that similar troubles  can appear
            undetected in any numerical simulation as being approximate by definition.

            6.7.3   Coax-to-Waveguide Transition/Adapter
            The main idea behind this design is to match first EM fields of two lines in the area of transition
            using a small antenna like an electrical or magnetic dipole and then try to diminish the reactive
            energy  stored around  the  antenna.  Sometimes the latter requires putting addition elements
            nearby the dipole. Recall that such approach with extra inductance lets reduce the reflection in
            the coax-to-coax adapter.
                       20
            Figure 6.7.4a  demonstrates that the extension of coaxial line central conductor plays the role
            of electrical dipole inside WR. As such, it excites the partial plane waves required for the
                                                       formation of a dominant  TE10-mode
                                                       (check Figures 6.4.3 and 6.4.4). Roughly
                                                       speaking, the dipole (often called probe)
                                                       should be put in the middle of the WR
                                                       wide  wall  where the E-field is the
                                                       strongest,  and  EM energy transfer  is
                                                       most  efficient.  Since the  dipole is
                                                       omnidirectional in  H-plane (see dipole
                                                       patterns  in  Chapter  4)  it  creates  the
                                                       infinite set of partial waves impinging on
                                                       WR metal walls at all angles between 0°
                                                       and    360°  as shown  schematically  in
                                                       Figure  6.7.4b  (blue  and  red  arrowed
               Figure 6.7.4 Coax-to-waveguide adapter: a)   lines).
              Schematic, b) Two TE10-modes (red and green   In  Section  6.4.3  of  this  chapter,  we
              lines) presentation through partial TEM-waves   demonstrated  that  single mode  WR
                                                       works as a filter permitting to propagate
            one and only one set of partial waves that according to (6.20) incidents at the angle cos  =
             2 (red lines). All other waves of different incident angle (blue dotted lines) are evanescent,
             ⁄
            exponentially decay from excitation point (check (6.35)) and are stored as the reactive energy
            around the dipole. Looking back at Figure 6.7.4b we clearly see that the dipole generates two
            dominant modes: the first runs to the left and the second to the right over WR. The latter one
            reaches the end metal wall and reflects back (green lines) moving in the same direction as the
            first one. Evidently, we are interested to get these two wave in phase thereby increasing the
            power transferred from the coaxial line into waveguide. Loosely speaking, the green dominant
            mode at first passes the distance L getting the phase shift = , then reflects from the end metal
            wall with the phase shift =  (see (6.17)) and finally comes back to the dipole with the extra


            20  Public Domain Image, source:
            http://www.vectortele.com/product_VT40WCANKPA_WR229_Waveguide_to_Coaxial_Adapter.htm.
            The drawing was edited to remove the trace of proprietary information.
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