DPSM for Modeling Engineering Problems

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.

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.

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
Table of Contents provided by Publisher. All Rights Reserved.

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DPSM for Modeling Engineering Problems

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