Numerical Modelling of High Intensity Focused Ultrasound Phased Arrays by an Angular Spectrum Decomposition using Highly-Oscillatory Quadrature

The angular spectrum decomposition technique has been adapted to enable modelling of a ten-element focused array used in our laboratory.In order to solve the integral representation of our transducer array, we have applied a quadrature method which is both efficient and accurate for the evaluation of integrals which feature highly-oscillatory behaviour. This approach is not limited by a requirement for transducer variables (such as amplitude, frequency and phase) to remain constant. We present a comparison between experimental and theoretical results for a ten-element array transducer.