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Page Title: Energy Propagation in Waveguides
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Figure  3-19.—Two-wire  transmission  line
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Electronics Technician Volume 07-Antennas and Wave Propagation
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Boundary Conditions in a Waveguide

As  shown  in  figure  3-23,  the  widest  dimension of  a  waveguide  is  called  the  “a”  dimension  and determines  the  range  of  operating  frequencies.  The narrowest  dimension  determines  the  power-handling capability   of   the   waveguide   and   is   called   the   “b” dimension. Figure 3-23.—Labeling waveguide dimensions, NOTE:   This  method  of  labeling  waveguides  is not  standard  in  all  texts,  Different  methods  may  be used  in  other  texts  on  microwave  principles,  but  this method is in accordance with Navy Military Standards (MIL-STDS). In  theory,  a  waveguide  could  function  at  an  infinite number  of  frequencies  higher  than  the  designed frequency;  however,  in  practice,  an  upper  frequency limit  is  caused  by  modes  of  operation,  which  will  be discussed later. If the frequency of a signal is decreased so much that two quarter-wavelengths are longer than the wide dimension of a waveguide, energy will no longer pass through  the  waveguide.  This  is  the  lower  frequency limit,   or   CUTOFF   FREQUENCY   of   a   given waveguide. In   practical   applications,   the   wide dimension  of  a  waveguide  is  usually  0.7  wavelength at the operating frequency. This allows the waveguide to handle a small range of frequencies both above and below   the   operating   frequency.   The   “b”   dimension is  governed  by  the  breakdown  potential  of  the dielectric,  which  is  usually  air.  Dimensions  ranging from  0.2  to  0.5  wavelength  are  common  for  the  “b” sides  of  a  waveguide. ENERGY  PROPAGATION  IN WAVEGUIDES Since  energy  is  transferred  through  waveguides by  electromagnetic  fields,  you  need  a  basic  understand- ing  of  field  theory.  Both  electric  (E  FIELD)  and magnetic fields (H FIELD) are present in waveguides, and  the  interaction  of  these  fields  causes  energy  to travel   through   the   waveguide.   This   action   is   best understood  by  first  looking  at  the  properties  of  the two  individual  fields. E Field An   electric   field   exists   when   a   difference   of potential causes a stress in the dielectric between two points.  The  simplest  electric  field  is  one  that  forms between  the  plates  of  a  capacitor  when  one  plate  is made positive compared to the other, as shown in view A  of  figure  3-24.  The  stress  created  in  the  dielectric is  an  electric  field. Electric  fields  are  represented  by  arrows  that  point from  the  positive  toward  the  negative  potential.  The number  of  arrows  shows  the  relative  strength  of  the field.  In  view  B,  for  example,  evenly  spaced  arrows indicate  the  field  is  evenly  distributed.  For  ease  of explanation,  the  electric  field  is  abbreviated  E  field, and  the  lines  of  stress  are  called  E  lines. H Field The  magnetic  field  in  a  waveguide  is  made  up  of magnetic lines of force that are caused by current flow through  the  conductive  material  of  the  waveguide. Magnetic lines of force, called H lines, are continuous closed  loops,  as  shown  in  figure  3-25.  All  of  the  H lines  associated  with  current  are  collectively  called a  magnetic  field  or  H  field.  The  strength  of  the  H field,  indicated  by  the  number  of  H  lines  in  a  given area,  varies  directly  with  the  amount  of  current. Although  H  lines  encircle  a  single,  straight  wire, they behave differently when the wire is formed into a coil, as shown in figure 3-26. In a coil the individual H lines tend to form around each turn of wire. Since 3-12

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