1992
DOI: 10.1121/1.404042
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The wave superposition method as a robust technique for computing acoustic fields

Abstract: The wave superposition method has recently been advocated [Koopmann et al., ‘‘A method for computing acoustic fields based on the principle of wave superposition,’’ J. Acoust. Soc. Am. 86, 2433–2438 (1989)], as a reliable and accurate technique for computing the acoustic fields generated by arbitrary-shaped radiators; this study examines in depth the robustness and numerical stability of the method. The implementation of the method requires the placement of a finite number of point sources on a surface interio… Show more

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Cited by 78 publications
(39 citation statements)
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“…In addition to the classical NAH technique based on spatial discrete Fourier transforms, 1-3 many alternative methods have been developed in the past years, e.g., the inverse boundary element method, [4][5][6] the statistically optimized method, 7,8 the Helmholtz equation least-squares method, 9,10 and the equivalent source method ͑ESM͒ ͑also known as the wave superposition method͒. [11][12][13][14][15][16] Usually the measured quantity is the sound pressure rather than the particle velocity, simply because pressure microphones are readily available and easy to calibrate whereas the particle velocity has been difficult to measure. However, in recent years, a particle velocity transducer called Microflown has appeared.…”
Section: Introductionmentioning
confidence: 99%
“…In addition to the classical NAH technique based on spatial discrete Fourier transforms, 1-3 many alternative methods have been developed in the past years, e.g., the inverse boundary element method, [4][5][6] the statistically optimized method, 7,8 the Helmholtz equation least-squares method, 9,10 and the equivalent source method ͑ESM͒ ͑also known as the wave superposition method͒. [11][12][13][14][15][16] Usually the measured quantity is the sound pressure rather than the particle velocity, simply because pressure microphones are readily available and easy to calibrate whereas the particle velocity has been difficult to measure. However, in recent years, a particle velocity transducer called Microflown has appeared.…”
Section: Introductionmentioning
confidence: 99%
“…The following selection is made for convenience: In octant I, ; in octant II, ; in octant III, ; in octant IV, ; in octant V, ; in octant VI, ; in octant VII, ; and finally in octant VIII, . The outgoing wave variables are then initialized accordingly by using the velocity values obtained by weighting the gradient of the selected velocity potential function defined as in (20) and (21). After the initialization stage, the iteration is started at the propagation step instead of the scattering pass.…”
Section: A Analytical Source Directivitymentioning
confidence: 99%
“…The initial omnidirectional velocity, , at the given position can then be calculated using (11) with a change of coordinates from spherical to Cartesian as (20) The directional velocity vectors with which the DWM is initialized can then be obtained as (21) where is the frequency-independent directivity function with arbitrary rotation angles in azimuth and in elevation. Here, and .…”
Section: A Analytical Source Directivitymentioning
confidence: 99%
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“…The numerical method is implemented by using the acoustic field from a series of virtual sources which are collected near the boundary surface to replace the actual acoustic field of radiator, called the principle of equivalent. Jeans, Mathews [2] and Xiang Yu [3] successively presented the Burton-Miller's superposition integral and the wave superposition method with complex radius vector. Chen Xinzhao, Yu Fei [4,5] and Li Jiaqing [6] et al developed the mechanism of near field acoustic holography based on wave superposition method and related experiment, but the acoustic field prediction and how to collocate these equivalent sources are not researched.…”
Section: Introductionmentioning
confidence: 99%