Depth of field of a focused beam
A focus is not a point but a cigar shaped zone. Its axial length, the depth of field or focal zone, follows FZ = N · S_F² · 2/(1 + 0.5·S_F), where S_F = F/N is the focal depth normalised to the near field length. The relationship is strongly non-linear: a tight focus at S_F = 0.3 gives a short zone, while at S_F = 0.8 the zone stretches over most of the near field.
The practical consequence is that one focal law only inspects a band of thickness. Outside the focal zone the beam is wider and the amplitude response of a given reflector changes, so amplitude based sizing drifts. Covering a thick section therefore needs either several focal depths, an unfocused law with TCG, or a depth focus law set that steps the focus through the wall.
The zone is not quite symmetric about the focus – it extends slightly further towards the probe than beyond it – so the limits given here are a working approximation. Where focal zone boundaries matter, confirm them on side drilled holes at the depths concerned.
Compression or shear
Worked example
| Elements in the active group | 16 |
| Element pitch | 0.6 mm |
| Passive aperture (elevation) | 10 mm |
| Probe frequency | 5 MHz |
| Wave mode | shear |
| Material velocity | 3240 m/s |
| Focal distance (sound path) | 30 mm |
| Near field length | 51 mm |
| Normalised focal depth F/N | 0.59 |
| −6 dB focal zone length | 27.27 mm |
| Approximate start of the focal zone | 16.36 mm |
| Approximate end of the focal zone | 43.64 mm |
N = 51.003 mm and F = 30 mm give S_F = 0.5882. FZ = 51.003 × 0.5882² × 2/(1 + 0.2941) = 51.003 × 0.34598 × 1.54548 = 27.27 mm, so the zone runs roughly 30 − 13.64 = 16.36 mm to 30 + 13.64 = 43.64 mm.