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Appl. Sci. 2016, 6(10), 302; doi:10.3390/app6100302

Family of Quantum Sources for Improving Near Field Accuracy in Transducer Modeling by the Distributed Point Source Method

1
Ecole Normale Superieure, SATIE, 61, Avenue Du President Wilson, CEDEX F-94235 Cachan, France
2
School of Civil Engineering, Advanced Engineering Building, University of Queensland, St Lucia 4072, QLD, Australia
3
Department of Civil Engineering and Engineering Mechanics, University of Arizona, 1209 E 2nd Street, Tucson, AZ 85721, USA
*
Author to whom correspondence should be addressed.
Academic Editor: César M. A. Vasques
Received: 14 July 2016 / Revised: 21 September 2016 / Accepted: 10 October 2016 / Published: 18 October 2016
View Full-Text   |   Download PDF [3320 KB, uploaded 18 October 2016]   |  

Abstract

The distributed point source method, or DPSM, developed in the last decade has been used for solving various engineering problems—such as elastic and electromagnetic wave propagation, electrostatic, and fluid flow problems. Based on a semi-analytical formulation, the DPSM solution is generally built by superimposing the point source solutions or Green’s functions. However, the DPSM solution can be also obtained by superimposing elemental solutions of volume sources having some source density called the equivalent source density (ESD). In earlier works mostly point sources were used. In this paper the DPSM formulation is modified to introduce a new kind of ESD, replacing the classical single point source by a family of point sources that are referred to as quantum sources. The proposed formulation with these quantum sources do not change the dimension of the global matrix to be inverted to solve the problem when compared with the classical point source-based DPSM formulation. To assess the performance of this new formulation, the ultrasonic field generated by a circular planer transducer was compared with the classical DPSM formulation and analytical solution. The results show a significant improvement in the near field computation. View Full-Text
Keywords: acoustic source modeling; numerical method; distributed point source method acoustic source modeling; numerical method; distributed point source method
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Placko, D.; Bore, T.; Kundu, T. Family of Quantum Sources for Improving Near Field Accuracy in Transducer Modeling by the Distributed Point Source Method. Appl. Sci. 2016, 6, 302.

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