RAPID NUMERICAL EVALUATION OF ULTRASOUND PRESSURE AND POTENTIAL INTEGRALS

This book derives and evaluates fast expressions for calculating pressures generated by planar pistons and potentials generated by volume sources, which are called the fast near-field method (FNM). The FNM expressions are compared with several existing methods such as the impulse response method, the Field II program, the Rayleigh-Sommerfeld integrals and the singularity cancellation method. Comparison results show that the FNM expressions achieve smaller errors in less time (or less sample points).