Linear (E-scan) law count

A linear or E-scan keeps the angle fixed and moves the active group one or more elements at a time along the array. The number of positions is (N_total − n)/step + 1: the aperture has to fit inside the array, so the last group starts at element N_total − n + 1.

The index resolution of the resulting C-scan is the element step multiplied by the pitch, and the total electronic coverage is that scan length plus one aperture. A 64 element probe at 0.6 mm pitch using a 16 element aperture and a one element step gives 49 laws, a 0.6 mm resolution and 38.4 mm of coverage – the full length of the array.

Stepping two or four elements at a time cuts the law count and raises the frame rate, at the cost of index resolution. That is a sound trade for corrosion mapping where the beam is much wider than one pitch, and a poor trade for small defect detection where resolution is the point.

Worked example

Elements on the probe64
Elements in the active group16
Element step between laws1
Element pitch0.6 mm
Laws in the electronic scan49
Index resolution0.6 mm
Active aperture9.6 mm
Electronic coverage width38.4 mm
Elements left unused at the far end0

A 16 element aperture on a 64 element probe leaves 48 possible one element steps, so 49 laws. Index resolution is 1 × 0.6 = 0.600 mm, the aperture travels 48 × 0.6 = 28.80 mm and total coverage is 28.80 + 9.60 = 38.40 mm, the whole array.

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