Advanced topics in scattering and biomedical engineering : proceedings of the Eighth International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering / editors, A. Charalambopoulos, D.I. Fotiadis, D. Polyzos.

Format:

Book

Conference/Event

Author/Creator:

International Workshop on Mathematical Methods in Scattering Theory and BIomedical Engineering, Corporate Author.

Contributor:

Fotiadis, Dimitrios Ioannou.

Charalambopoulos, A.

Polyzos, D.

Conference Name:

International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering (8th : 2007 : Leukas, Greece)

International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering

Language:

English

Subjects (All):

Biomedical engineering--Mathematics--Congresses.

Biomedical engineering.

Scattering (Mathematics)--Congresses.

Scattering (Mathematics).

Physical Description:

1 online resource (400 p.)

Place of Publication:

Hackensack, NJ : World Scientific, c2008.

Language Note:

English

Summary:

This volume of proceedings consists of the papers presented during the 8th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering, held in Lefkada, Greece, on 27-29 September 2007.The book contains papers on scattering theory and biomedical engineering - two rapidly evolving fields which have a considerable impact on today's research. All the papers are state-of-the-art, have been carefully reviewed before publication and the authors are well-known in the scientific community. In addition, some papers focus more on applied mathematics, which is the solid

Contents:

Contents; Preface; Scattering Theory; On the Reconstruction of a Small Elastic Sphere in the Near Field by Point- Sources.. C. E. Athanasiadis, V. Sevroglou and I. G. Stratis; 1. Introduction; 2. Formulation of the problem in RN, N = 2,3; 3. The 2D case: elastic point-sources; 4. The scattered field at the point-source; 5. A simple inverse near-field method for a small disk; 6. Some comments on the 3D case; References; On the Interior Dipole Excitation of a Layered Chral Scatterer C. Athanasiadis and N.L. Tsitsas; 1. Introduction; 2. Mathematical Formulation; 3. Reciprocity Theorem

4. General Radiation TheoremAcknowledgments; References; The Inverse Scattering Problem for Anisotropic Media.. F. Cakoni and D. Colton; 1. Introduction; 2. The Model Problem; 3. Uniqueness Theorems; 4. The Interior Transmission Problem; 5. The Determination of D; 6. The Determination of q; 7. Estimates for A; References; On the Sensitivity of the Acoustic Scattering Problem in Prolate Spheroidal Geometry with Respect to Wavenumber and Shape via Vekua Transformation - Theory and Numerical Results L.N. Gergidis, D. Kourounis, S. Mavratzas and A. Charalambopoulos; 1. Introduction

2. Theoretical Background3. Numerical Implementation - Results; 3.1. Conditioning; 3.2. Convergence Analysis; 3.3. Far Fields; References; The Detection of Point Scatterers in a Waveguide.. D. Gintides, K. Kiriaki, A. Lygidaki and L. Midrinos; 1. Introduction; 2. Mathematical formulation of the direct and the inverse problem; 3. Connection with the factorization method; 4. Numerical implementation; References; Reconstruction of Acoustically Sound - Hard Obstacles From the far Field Using a Boundary Integral Equation Method 0. Ivanyshyn and B. T. Johansson; 1. Introduction

2. Boundary integral formulation of the direct problem2.1. Uniqueness in the inverse problem; 2.2. Parameterised boundary operators; 3. An iterative procedure for reconstructing t,,e boundary; 3.1. The procedure and its numerical implementation; 3.2. Properties of the linearized far field boundary integral operat or; 4. Numerical results; Acknowledgments; References; An Integral Equation for the Scattering Problem for an Anisotropic Medium and the Factorization Method. A. Kirsch; 1. Introduction; 2. The Anisotropic Inhomogeneous Medium Problem

3. The Inverse Scattering Problem and the Factorization MethodReferences; Electromagnetic Scattering from Buried Objects: A Bem Analysis A. Papacharalampopoulos, S. V. Tsinopoulos and D. Polyzos; 1. Introduction; 2. BEM treatment of the Problem; 3. Numerical results; 4. Conclusion; References; Reconstruction of Complex Cracks by Farfield Measurements. M. Sini; 1. Statement of the problem; 2. Presentation of the results; 3. Justification of the results; References; Integral Equation Modelling of Electromagnetic Wave Propagation and Scattering by Periodic Grating Waveguides N.L. Tsitsas

1. Introduction

Notes:

Papers presented during the eighth International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering held in Lefkada, Greece on Spet. 27-29, 2007.

Includes bibliographical references and index.

ISBN:

9786611968199

9781281968197

1281968196

9789812814852

981281485X