A fast algorithm to calculate ultrasound pressure fields from single-element transducers

An algorithm for calculating the beam profile for a single-element circular transducer is reported here. It performs well in calculating the pressure everywhere in the field including the near field and points at large distances from the axis of the transducer. The algorithm is much faster than direct numerical methods currently in use. Lateral beam profiles computed using the fast algorithm are nearly identical to profiles computed using a 96-point Gaussian quadrature routine.<
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