Family of quantum sources for improving near field accuracy in transducer modeling by the distributed point source method

Dominique Placko, Thierry Bore, Tribikram Kundu

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Article number302
JournalApplied Sciences (Switzerland)
Volume6
Issue number10
DOIs
StatePublished - Oct 18 2016

Fingerprint

Point Source
Near-field
Transducer
Transducers
Formulation
Modeling
Electromagnetic wave propagation
Elastic waves
Green's function
Flow of fluids
Electrostatics
Ultrasonics
Elastic Waves
Electromagnetic Wave
Wave Propagation
Fluid Flow
Family
Analytical Solution
Engineering

Keywords

  • Acoustic source modeling
  • Distributed point source method
  • Numerical method

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

Family of quantum sources for improving near field accuracy in transducer modeling by the distributed point source method. / Placko, Dominique; Bore, Thierry; Kundu, Tribikram.

In: Applied Sciences (Switzerland), Vol. 6, No. 10, 302, 18.10.2016.

Research output: Contribution to journalArticle

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