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What is a slot antenna cut in a large conducting sheet equivalent to?

  • A.An open ended waveguide of the same width as the slot is long overall
  • B.A short monopole standing on the surface of the same conducting sheet
  • C.A dipole of the same dimensions with the fields interchanged
  • D.A loop antenna of the same enclosed area operating at the same frequency

Answer: C

By Babinet's principle the slot and the metal strip that would fill it are complementary, so the slot radiates the dipole pattern with electric and magnetic fields exchanged and the polarisation rotated by ninety degrees. Its impedance follows from the dipole's through the duality relation. Loops, waveguide apertures and monopoles are all different radiators with their own analyses. The value of the duality is that no fresh electromagnetic calculation is needed for the slot at all.

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