Skip to main content
. Author manuscript; available in PMC: 2008 Aug 18.
Published in final edited form as: J Acoust Soc Am. 2006 Nov;120(5 Pt 1):2450–2459. doi: 10.1121/1.2356839

TABLE III.

Comparisons of computation times, input parameters, and time ratios that describe the reduction in the computation time achieved with the FNM and time-space decomposition relative to the exact and approximate impulse response for specified maximum errors of 10% and 1%. For FNM, impulse response, and FIELD II calculations with “use_triangles,” the transient results are evaluated in an 81×101-spatial point computed at 85 time points, and for the smoothed impulse response, the results are evaluated at the same temporal points in a restricted 81×86-point spatial grid.

Transient Near-field computations
10% peak error
1% peak error
FNM  Impulse  response FIELD II use_triangles Smoothed impulse response FNM Impulse response FIELD II use_triangles Smoothed impulse response
Parameters N=5 fs=128 MHz fs=16 MHz fs=32 MHz N=9 fs=1 GHz fs=64 MHz fs=128 MHz
Time 0.4867 s 1.8911 s 5.3317 s 1.0122 s 0.6160 s 23.5241 s 6.8078 s 4.1261 s
Time ratio 1 3.89 10.95 2.08 1 38.19 11.05 6.70