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Page Title: Figure 3-34.—Half-sine E field distribution
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Waveguide Modes of Operation
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Electronics Technician Volume 07-Antennas and Wave Propagation
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MODE NUMBERING SYSTEMS

Figure  3-34.—Half-sine  E  field  distribution. The  half-sine  field  is  only  one  of  many  field configurations, or modes, that can exist in a rectangular waveguide. A  full-sine  field  can  also  exist  in  a rectangular  waveguide  because,  as  shown  in  figure 3-35,  the  field  is  zero  at  the  “b”  walls. Figure 3-35.—Full-sine E field distribution. The  magnetic  field  in  a  rectangular  waveguide  is in  the  form  of  closed  loops  parallel  to  the  surface  of the  conductors.  The  strength  of  the  magnetic  field is  proportional  to  the  electric  field.  Figure  3-36 illustrates the magnetic field pattern associated with a  half-sine  electric  field  distribution.  The  magnitude of  the  magnetic  field  varies  in  a  sine-wave  pattern down the center of the waveguide in “time phase” with the electric field. TIME PHASE means that the peak H lines and peak E lines occur at the same instant in time, although not necessarily at the same point along the  length  of  the  waveguide. The  dominant  mode  is  the  most  efficient  mode. Waveguides  are  normally  designed  so  that  only  the dominant  mode  will  be  used.  To  operate  in  the dominant mode, a waveguide must have an “a” (wide) dimension  of  at  least  one  half-wavelength  of  the frequency   to   be   propagated.   The   “a”   dimension   of the  waveguide  must  be  kept  near  the  minimum allowable  value  to  ensure  that  only  the  dominant  mode will  exist.  In  practice,  this  dimension  is  usually  0.7 wavelength. Figure 3-36.—Magnetic field caused by a half-sine E field. Of  the  possible  modes  of  operation  available  for a given waveguide, the dominant mode has the lowest cutoff  frequency. The   high-frequency   limit   of   a rectangular waveguide is a frequency at which its “a” dimension  becomes  large  enough  to  allow  operation in  a  mode  higher  than  that  for  which  the  waveguide has  been  designed. Circular  waveguides  are  used  in  specific  areas  of radar  and  communications  systems,  such  as  rotating joints  used  at  the  mechanical  point  where  the  antennas rotate.  Figure  3-37  illustrates  the  dominant  mode  of a  circular  waveguide. The  cutoff  wavelength  of  a circular  guide  is  1.71  times  the  diameter  of  the waveguide.  Since  the  “a”  dimension  of  a  rectangular waveguide  is  approximately  one  half-wavelength  at the  cutoff  frequency,  the  diameter  of  an  equivalent circular  waveguide  must  be  2/1.71,  or  approximately Figure 3-37.—Dominant mode in a circular waveguide. 3-16

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