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What is the Hansen-Woodyard condition?

  • A.The spacing at which grating lobes first appear
  • B.The taper giving equal side lobes across the pattern
  • C.The condition for maximum bandwidth in a phased array
  • D.An extra phase increment that sharpens an end fire beam

Answer: D

Adding a small extra phase beyond the ordinary end fire value narrows the main beam and raises the directivity of a long end fire array by about four decibels, at the cost of higher side lobes. It is a deliberate departure from the intuitive in-phase-at-the-axis condition. Grating lobe spacing, Chebyshev tapering and bandwidth optimisation are all separate results. The increased directivity comes from a broader effective aperture in the phase domain rather than from any extra length.

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