Near field length, rectangular probe
A rectangular element does not behave like a circular one of the same area. The near-field length is governed by the long dimension, corrected by a shape factor that depends on how square the element is: N = k · L² / (4λ), where L is the long side and k is read from the ratio of short side to long side.
For a square element (ratio 1.0) k is 1.37 — a square element has a near field 37 % longer than the simple L²/4λ estimate. As the element becomes more elongated k falls towards about 0.99, so a long, narrow aperture behaves close to the plain formula. The table below is the standard shape-factor set used for rectangular transducers.
This is the calculation that matters for phased-array apertures and for the rectangular elements in twin-crystal and immersion probes. For a linear array the long dimension is the active aperture — the number of elements fired multiplied by the element pitch — and the short dimension is the element elevation. Growing the aperture by firing more elements lengthens the near field as the square of the aperture, which is why a large aperture can push the whole inspection depth into the near field and make amplitude sizing invalid.
Enter the two element dimensions in either order; the calculator sorts them. Remember that in shear mode the wavelength is roughly half the compression value, so the near field is roughly double.
Compression or shear
Worked example
| Wave mode | compression |
| Material velocity (override) | 0 m/s |
| Probe frequency | 5 MHz |
| Element dimension A | 20 mm |
| Element dimension B | 10 mm |
| Velocity used | 5900 m/s |
| Wavelength λ | 1.18 mm |
| Long dimension L | 20 mm |
| Short dimension W | 10 mm |
| Aspect ratio W/L | 0.5 |
| Shape factor k | 1.01 |
| Near field length N | 85.59 mm |
| Start of reliable far field (3N) | 256.78 mm |
20 mm × 10 mm aperture, 5 MHz compression in steel. λ = 1.18 mm; W/L = 0.5 so k = 1.01; N = 1.01 × 20² / (4 × 1.18) = 404 / 4.72 = 85.59 mm. A 20 × 20 mm square aperture at the same frequency would give k = 1.37 and N = 116.1 mm.