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How is the resonant frequency of a circular patch set?

  • A.By its circumference measured in free space wavelengths at resonance
  • B.By the thickness of the substrate on which it has been printed
  • C.By the position at which the feed probe is placed within the disc
  • D.By its radius and the substrate permittivity

Answer: D

The resonance follows from the radius through the zeros of the Bessel function derivative, scaled by the wavelength in the substrate, with a small edge extension for fringing. Thickness affects bandwidth and the extension slightly, and feed position sets the impedance rather than the frequency. The parallel with the rectangular patch is close: one dimension and one material property set the frequency, and the feed position then selects the impedance along the standing wave.

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