A filtered convolution method for the computation of acoustic wave fields in very large spatiotemporal domains

Journal of the Acoustical Society of America

Volumn 125, Issue 4, 2009, Pages 1868-1878

  Verweij, Martin D ^a   Huijssen, Jacob ^a  

^a Department of Microelectronics   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC WAVE FIELDS; COMPUTATIONAL OPERATIONS; FAST FOURIER TRANSFORMATIONS; INHOMOGENEOUS MEDIUMS; INTEGRAL EQUATION METHODS; ITERATIVE SOLUTIONS; NUMERICAL EVALUATIONS; NUMERICAL RESULTS; PARALLEL COMPUTERS; ROOT MEAN SQUARE ERRORS; SAMPLING RATES; SPATIOTEMPORAL DOMAINS; TRANSIENT FIELDS; TWO POINTS; ZERO-PADDED;

ACOUSTIC FIELDS; ACOUSTIC WAVES; FOURIER ANALYSIS;

CONVOLUTION;

ACOUSTICS; ARTICLE; DENSITY; FOURIER TRANSFORMATION; PRIORITY JOURNAL; SOUND INTENSITY; TRANSDUCER; VELOCITY;

EID: 64649099078     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.3077220     Document Type: Article

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29. The behavior of the Neumann iterative solution in combination with the filtered convolution method has been further investigated for a configuration consisting of an acoustically penetrable, homogeneous sphere in a homogeneous background medium (see Ref.). For this case analytical results exist. Successive approximations δ p (j) = p (j)-p (0) of the scattered field have been determined for several radii of the sphere, several values of the wave speed inside the sphere, and several values of the sampling parameter DF. For those situations in which the successive approximations clearly tend to a limiting result, the RRMS error of this limiting result with respect to the exact solution has been evaluated. From these comparisons, it may be concluded that the limiting results are indeed an approximation of the exact solution, and become better for higher values of DF. The latter is explained by the fact that the observed error is almost entirely caused by the spatial filtering of the contrast function of the relatively small sphere.