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What is the usual resonant length of a rectangular patch?

  • A.About one tenth of a free space wavelength, which makes it very compact
  • B.About half a wavelength in the substrate
  • C.About one full wavelength measured in free space at the operating frequency
  • D.About a quarter of a wavelength in the substrate beneath the patch

Answer: B

The patch behaves as a half wavelength resonator in the dielectric, with the two ends acting as open circuits and the fringing fields there doing the radiating. Because the wavelength in the substrate is shorter than in free space, the patch is smaller than a half wavelength in air. A quarter wave version exists if one edge is shorted, which is the basis of the planar inverted F antenna. The half wavelength resonance is the starting point for every patch calculation.

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