. Author manuscript; available in PMC: 2007 Dec 6.

Published in final edited form as: IEEE Trans Ultrason Ferroelectr Freq Control. 2006 Jun;53(6):1150–1159. doi: 10.1109/tuffc.2006.1642513

TABLE I.

Measured Computation Times Corresponding to a Peak Error of 10% for the Rayleigh-Sommerfeld Integral, Schoch Integral, Field II, DREAM, the Impulse Response (Numerical), the Impulse Response (Numerical + Analytical), and Time-Space Decomposition Applied to the FNM Integral.

Method	Input parameters	Computation time (seconds)	Time required relative to time-space decomposition
Rayleigh-Sommerfeld	49 abscissas	13.0356	343x
Schoch	10 abscissas	2.3378	61x
DREAM	225 elements at 128 MHz	1.1079	27x
Field II	208 elements at 128 MHz	0.6850	18x
Impulse response (numerical)	256 MHz	0.2434	6x
Impulse response (numerical + analytical)	64 MHz	0.1218	3x
Time-space decomposition	5 abscissas	0.0381	—