Maximum pulse repetition frequency

A flaw detector fires, listens, then fires again. If it fires before the echoes from the previous shot have died away, those late echoes arrive during the next time base and appear as ghost echoes — indications at a depth where there is nothing. The time for one round trip of the longest sound path is t = 2·z/c; the interval between pulses must be longer than that, and in practice several times longer because multiple reflections from the same path keep returning.

The factor to use depends on how long the material rings. In a low-attenuation forging or in a small component with parallel faces, multiples persist for many round trips and a factor of 5–10 may be needed; in an attenuative or irregular part 2–3 is usually enough. The safest field check is simply to halve the PRF: if an indication moves or disappears, it was a ghost.

The other half of the problem is that PRF drives coverage. Automated and encoded scanning needs enough A-scans per millimetre of travel, and averaging multiplies the number of shots required, so PRF sets the maximum scan speed. High PRF also heats the probe and pulser and can degrade signal-to-noise on long sound paths, so it is not free.

The unambiguous range figure works the other way round: at a given PRF, it is the deepest single-path reflector whose echo can arrive before the next pulse. Any reflector beyond it will be displayed at a false, shorter range.

Compression or shear

Worked example

Wave modecompression
Material velocity (override)0 m/s
Maximum sound path200 mm
Decay factor (round trips allowed to die away)3
Instrument dead time0 µs
PRF actually set on the instrument500 Hz
Velocity used5900 m/s
Round-trip time for the maximum path67.8 µs
Minimum interval between pulses203.39 µs
Maximum PRF4917 Hz
Unambiguous single path at the PRF set5900 mm

200 mm maximum path, compression in steel (5.9 mm/µs). Round trip = 2 × 200 / 5.9 = 67.80 µs. Allowing three round trips for the multiples to decay gives a minimum interval of 203.39 µs, so PRF_max = 1 000 000 / 203.39 = 4917 Hz. At the 500 Hz actually set, sound travels 5900 mm of single path between pulses — far beyond the part, so no ghosts.

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