. Author manuscript; available in PMC: 2012 Sep 1.

Published in final edited form as: IEEE Trans Ultrason Ferroelectr Freq Control. 2011 Sep;58(9):2001–2012. doi: 10.1109/TUFFC.2011.2044

Table I.

Comparison of gpu computation times for the rsm and fnm in single-precision for a rectangular piston, 1λ in azimuth by 1.5λ in elevation, as a function of minimum normalized field accuracy and field points.

		RSM			FNM

Min Accuracy		1.0%	0.1%	0.01%	1.0%	0.1%	0.01%

Abscissas Required		61²	126²	396²	8^*	14^*	16^*

Field Points	32³	16.689 (0.006)	70.60 (0.01)	694.9 (0.1)	1.04 (0.01)	1.72 (0.02)	1.95 (0.01)
	64³	127.03 (0.01)	539.55 (0.02)	5 317.0 (0.2)	6.3 (0.5)	9.8 (0.7)	11.0 (0.6)
	128³	1 007.39 (0.04)	4 281.7 (0.1)	42 202.9 (0.6)	38.61 (0.01)	62.92 (0.04)	70.79 (0.06)
	194³	3 391.70 (0.05)	14 416.10 (0.04)	142 091.0 (0.5)	153 (2)	251 (3)	284 (3)
	256³	8 036.87 (0.03)	34 160.9 (0.2)	336 708.0 (0.4)	263 (1)	449 (4)	509 (3)

The true number of abscissas for each evaluation of (2) depends on the location of the field point relative to the piston.

All times are in units of milliseconds with standard deviations in parentheses (n=5 for RSM and n=20 for FNM).