Passive aperture beam spread

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.

Compression or shear

Worked example

Passive aperture (elevation)10 mm
Probe frequency5 MHz
Wave modeshear
Material velocity3240 m/s
Range of interest (sound path)100 mm
Wavelength0.648 mm
−6 dB half spread angle1.89 deg
−6 dB full spread angle3.79 deg
Passive direction near field38.58 mm
−6 dB elevation width at the range of interest6.61 mm

λ = 0.648 mm, so 0.51λ/W = 0.51 × 0.648/10 = 0.033048 and θ_half = asin(0.033048) = 1.8939°, full spread 3.79°. The passive near field is 10²/(4 × 0.648) = 38.58 mm, so at a 100 mm path the elevation width is 2 × 100 × tan 1.8939° = 6.61 mm.

Use at your own risk — verify before you act

These calculators support, and never replace, the judgement of qualified NDT and engineering personnel. Results are provided as is, without warranty of any kind, express or implied, and must be independently verified against the governing code edition named in your contract before being used in any inspection, acceptance, rejection, radiation-safety or fitness-for-service decision. By using them you accept full responsibility for how the results are applied; NDT Inspect, its owners and contributors accept no liability for any loss, damage, injury or death arising from their use or from reliance on them. If a result matters to safety, check it by hand and have it reviewed by a competent person.

Privacy Overview

This website uses cookies so that we can provide you with the best user experience possible. Cookie information is stored in your browser and performs functions such as recognising you when you return to our website and helping our team to understand which sections of the website you find most interesting and useful.