A probe-corrected theory is presented for computing the acoustic far fields of transducers and scatterers from measurements of near fields on a cylindrical surface. The near-field data is truncated at the top, bottom, and angular edges of the scan cylinder. These truncation edges can cause inaccuracies in the computed far fields. Correction techniques are developed for the top and bottom truncation edges. The cylindrical wave expansions automatically apply an angular taper to the near-field data that reduces the effect of the angular truncation edges. The taper function depends on the probe and the angular sample spacing. The theory is validated through numerical examples involving a point source and a baffled piston transducer probe.
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Thorkild B. Hansen (2006) studied this question.
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