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Dominant electromagnetic modes of a tape helix loaded in a conducting cylindrical waveguide

The paper is concerned with identifying the dominant electromagnetic modes of a tape helix loaded in a conducting waveguide. Two distinct regions of operation of the helix are found. For knu rh<1(knu :free space wavenumber; rh:helix radius), the helix supports slow as well as fast waves, while for knu rh>1, it supports only fast waves. For each region separate asymptotic formulae have been derived. These have also been verified experimentally. Since the exact dispersion relation for a helix is extremely complex these formulae serve to eliminate the associated computational problems. Moreover, a helix in a waveguide supports a large number of fast wave modes. This makes the simplified formulae for fast waves extremely important since these isolate the dominant fast wave directly.