Passive aperture beam spread

Wave mode: both

A one dimensional linear array only controls the beam in the active plane. In elevation the aperture is a single fixed strip of width W, so the beam there behaves exactly like an unfocused single crystal probe: it converges to a natural focus at W²/(4λ), then diverges at a half angle given by sin θ = 0.51·λ / W for the −6 dB edge.

That elevation spread governs how much material either side of the scan line is illuminated, and therefore how the volume is covered on an axial weld scan and how much of a corrosion pit is averaged into one C-scan cell. It also explains why indications from outside the nominal scan plane appear at all.

Passive aperture is chosen by the probe, not by the setup. Where elevation resolution matters - small pits, close parallel indications, thin components - the answer is a probe with a shorter passive aperture, a matrix array, or an elevation focusing lens, not a change of focal law.

sin θ_half = 0.51 · λ / W
N_passive = W² / (4λ)
beam width at range z ≈ 2 · z · tan θ_half

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Notes:
  • Elevation cannot be steered or focused with a 1D linear array - only a matrix array or an elevation lens changes it.
  • Inside the passive near field the beam is roughly the width of the passive aperture, not the value given by the divergence formula.

Reference: Olympus/R.D Tech, Introduction to Phased Array Ultrasonic Technology Applications - passive plane divergence 0.51·λ/W.

These calculators support — never replace — calculations against the governing code edition and your written procedure. Verify results independently before use.

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