DPSM for Modeling Engineering Problems

by Placko, Dominique; Kundu, Tribikram

• ISBN13: 9780471733140
• ISBN10: 0471733148
• Edition: 1st
• Format: Hardcover
• Copyright: 2007-06-22
• Publisher: Wiley-Interscience

Summary

This book is the first book on this technique; it describes the theory of DPSM in detail and covers its applications in ultrasonic, magnetic, electrostatic and electromagnetic problems in engineering. For the convenience of the users, the detailed theory of DPSM and its applications in different engineering fields are published here in one book making it easy to acquire a unified knowledge on DPSM.

Author Biography

Dominique Placko, PhD, is a Professor in the Department of Electrical Engineering at the Ecole Normale Supérieure de Cachan in France. He is the author/coauthor of over 100 scientific papers, editor/coeditor of eight books, and holder of fifteen patents. He started a new Interdisciplinary Conference on Instrumentation in 1998 and the scientific French journal Instrumentation, Mesure, Métrologie in 2001. He received the Blondel Award in 1998.

Tribikram Kundu, PhD, is a Professor at the University of Arizona and winner of the Humboldt Research Prize from Germany. He has been an invited professor in France, Sweden, Denmark, Russia, and Switzerland. He is the editor of twelve books and three research monographs and author/coauthor of two textbooks and over 200 scientific papers, three of which received Best Paper awards.

Table of Contents

Basic Theory of Distributed Point Source Method (DPSM) and its Application to Some Simple Problems

Introduction and Historical Development of DPSM

Basic Principles of DPSM Modeling

The fundamental idea

Basic equations

Boundary conditions

Example in the case of a magnetic open core sensor

Governing equations and solution

Solution of coupling equations

Results and discussion

Examples from Ultrasonic Transducer Modeling

Justification of modeling a finite plane source by a distribution of point sources

Planar piston transducer in a fluid

Conventional surface integral technique

Alternative distributed point source method (DPSM) for computing the ultrasonic field

Matrix formulation

Restrictions on rS for point source distribution

Focused transducer in a homogeneous fluid

Ultrasonic field in a non-homogeneous fluid in presence of an interface

Pressure field computation in fluid 1 at point P

Pressure field computation in fluid 2 at point Q

DPSM technique for ultrasonic field modeling in non-homogeneous fluid

Field computation in fluid

Approximations in computing the field

Field in fluid

Ultrasonic field in presence of a scatterer

Numerical results

Ultrasonic field in a homogeneous fluid

Ultrasonic field in a non-homogeneous fluid - DPSM technique

Ultrasonic field in a non-homogeneous fluid - surface integral method

Ultrasonic field in presence of a finite size scatterer

References

Advanced Theory of DPSM - Modeling Multi-Layered Medium and Inclusions of Arbitrary Shape

Introduction

Theory of Multi-Layered Medium Modeling

Transducer faces not coinciding with any interface

Source strength determination from boundary and interface conditions

Transducer faces coinciding with the interface

Transducer faces modeled separately

Source strength determination from interface and boundary conditions

Counting number of equations and number of unknowns

Transducer faces coinciding with the interface

Transducer faces are part of the interface

Source strength determination from interface and boundary conditions

Special case involving one interface and one transducer only

Theory for Multi-layered Medium Considering the Interaction Effect on the Transducer Surface

Source strength determination from interface conditions

Counting number of equations and number of unknowns

Interference between two Transducers: Step-by-Step Analysis of Multiple Reflection

Scattering by an Inclusion of Arbitrary Shape

Scattering by an Inclusion of Arbitrary Shape - An Alternative Approach

Electric Field in a Multi-Layered Medium

Ultrasonic Field in a Multi-Layered Fluid Medium

Ultrasonic field developed in a three-layered medium

Ultrasonic field developed in a four-layered fluid medium

References

Ultrasonic Modeling in Fluid Media

Introduction

Primary and Secondary Sources

Modeling Ultrasonic Transducers of Finite Dimension Immersed in a Homogeneous Fluid

Numerical results - ultrasonic transducers of finite dimens

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