Next Article in Journal
A Fruit Fly-Optimized Kalman Filter Algorithm for Pushing Distance Estimation of a Hydraulic Powered Roof Support through Tuning Covariance
Previous Article in Journal
Needle-Bonded Electromagnetic Shielding Thermally Insulating Nonwoven Composite Boards: Property Evaluations
Article Menu

Export Article

Open AccessFeature PaperArticle
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

Ecole Normale Superieure, SATIE, 61, Avenue Du President Wilson, CEDEX F-94235 Cachan, France
School of Civil Engineering, Advanced Engineering Building, University of Queensland, St Lucia 4072, QLD, Australia
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]   |  


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

Figure 1

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).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

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.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Appl. Sci. EISSN 2076-3417 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top