Low Frequency Solution Of Threedimensional Scattering Problems
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Low Frequency Solution of Threedimensional Scattering Problems by R. E. Kleinman,MICHIGAN UNIV ANN ARBOR RADIATION LAB. Pdf
A deficiency is pointed out in Stevenson's method of reducing the solution of electromagnetic scattering problems to a succession of standard potential problems whose solutions determine terms in the low frequency expansion of the scattered field. An alternate approach is presented, for perfectly conducting scatterers, which not only removes the difficulty but also is simpler and more explicit than Stevenson's method. The details of the analogous, though simpler, scalar scattering problems are also presented. (Author).
Low Frequency Scattering by George Dassios,Ralph Kleinman Pdf
Scattering theory deals with the interactions of waves with obstacles in their path, and low frequency scattering occurs when the obstacles involved are very small. This book gives an overview of the subject for graduates and researchers, for the first time unifying the theories covering acoustic, electromagnetic and elastic waves.
Review of Progress in Quantitative Nondestructive Evaluation by Donald O. Thompson,Dale E. Chimenti Pdf
This volume (Parts A and B) contains the edited papers presented at the annual Review of Progress in Quantitative Nondestructive Evaluation held at Bowdoin College, Brunswick, ME on July 24-28, 1989. The Review was organized by the Center for Advanced NDE at the Ames Laboratory of the U. S. Department of Energy, in cooperation with the Office of Basic Energy Sciences, USDOE, and the Materials Laboratory at Wright-Patterson Air Force Base. The statistics for the 1989 Review of Progress in QNDE include a total of over 460 participants from the U. S. and nine foreign countries who presented some 325 papers. Over the years this conference has grown into one of the largest, most significant gatherings of NDE researchers and engineers in the world. The meeting was divided into 35 sessions, with as many as four sessions running concurrently, and covering all stages of NDE development from basic research investigations to early engineering applications and all methods of inspection science from ultrasonics to x-ray tomography. The Editors have organized the papers in the Proceedings according to topical subject headings, rather than in the original order of presentation. This rearrangement yields a more user-friendly reference work and follows a pattern now familiar to regular attendees of the Review. Some changes in the headings and their subcategories have been introduced to accommodate dynamic evolution of the field, as we observe it.
Fast Multipole Methods for the Helmholtz Equation in Three Dimensions by Nail A Gumerov,Ramani Duraiswami Pdf
This volume in the Elsevier Series in Electromagnetism presents a detailed, in-depth and self-contained treatment of the Fast Multipole Method and its applications to the solution of the Helmholtz equation in three dimensions. The Fast Multipole Method was pioneered by Rokhlin and Greengard in 1987 and has enjoyed a dramatic development and recognition during the past two decades. This method has been described as one of the best 10 algorithms of the 20th century. Thus, it is becoming increasingly important to give a detailed exposition of the Fast Multipole Method that will be accessible to a broad audience of researchers. This is exactly what the authors of this book have accomplished. For this reason, it will be a valuable reference for a broad audience of engineers, physicists and applied mathematicians. The Only book that provides comprehensive coverage of this topic in one location Presents a review of the basic theory of expansions of the Helmholtz equation solutions Comprehensive description of both mathematical and practical aspects of the fast multipole method and it's applications to issues described by the Helmholtz equation
Resonance Acoustic Spectroscopy by Naum D. Veksler Pdf
Resonance Acoustic Spectroscopy deals with the analysis of waves generated in an elastic body by a plane harmonic acoustic wave. It is the first monograph to treat new analytical and experimental methods for the investigation of the excitation, propagation and re-radiation of elastic waves in solid, thick-walled and thin-walled elastic scatterers.The material is presented systematically, comprising the formulation of the problem, method of solution, algorithm, computation and analysis. A large number of computational results are given in the form of modal resonances, form functions, dispersion curves and acoustic spectrograms. Particular attention is paid to the interpretation of the solutions.
Electromagnetic Wave Theory, Part 2 contains the proceedings of a Symposium on Electromagnetic Wave Theory held at Delft, The Netherlands in September 1965. The symposium provided a forum for discussing electromagnetic wave theory and tackled a wide range of topics, from propagation in nonlinear media to electromagnetic wave propagation and amplification in solid-state plasmas. Electromagnetic waves in nonlinear transmission lines with active parameters are also considered, along with the phase dependence of maser active material Q-factor on pump intensity and frequency. Comprised of four sections, this volume begins with an analysis of two modes of propagation that are coupled through parametric modulation in nonlinear media. The discussion then turns to symmetry restrictions in nonlinear, non-absorbing, non-dispersive media; nonlinear interaction between two beams of plane electromagnetic waves in an anisotropic medium; radiation in periodically non-stationary media; and electromagnetic wave propagation in time-varying media. Subsequent chapters explore the diffraction of electromagnetic waves by plasma structures; resonant electromagnetic scattering from gyrotropic plasmas; scattering and transmission of electromagnetic waves at a statistically rough boundary between two dielectric media; and developments in wavefront reconstruction. This book will be useful for students, practitioners, and researchers in physics.
Advanced Topics in Scattering Theory and Biomedical Engineering by A. Charalambopoulos,Dimitrios Ioannou Fotiadis,D. Polyzos Pdf
This volume of proceedings consists of the papers presented during the 9th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering, held in Patras, Greece, on 9ndash;11 October 2009. 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 provides a solid ground for development and innovative research in scattering and biomedical engineering.
Scientific Computing in Electrical Engineering by Andreas Bartel,Markus Clemens,Michael Günther,E. Jan W. ter Maten Pdf
This book is a collection of selected papers presented at the 10th International Conference on Scientific Computing in Electrical Engineering (SCEE), held in Wuppertal, Germany in 2014. The book is divided into five parts, reflecting the main directions of SCEE 2014: 1. Device Modeling, Electric Circuits and Simulation, 2. Computational Electromagnetics, 3. Coupled Problems, 4. Model Order Reduction, and 5. Uncertainty Quantification. Each part starts with a general introduction followed by the actual papers. The aim of the SCEE 2014 conference was to bring together scientists from academia and industry, mathematicians, electrical engineers, computer scientists, and physicists, with the goal of fostering intensive discussions on industrially relevant mathematical problems, with an emphasis on the modeling and numerical simulation of electronic circuits and devices, electromagnetic fields, and coupled problems. The methodological focus was on model order reduction and uncertainty quantification. this book="" will="" appeal="" to="" mathematicians="" and="" electrical="" engineers.="" it="" offers="" a="" valuable="" starting="" point="" for="" developers="" of="" algorithms="" programs="" who="" want="" learn="" about="" recent="" advances="" in="" other="" fields="" as="" well="" open="" problems="" coming="" from="" industry.="" moreover,="" be="" use="" representatives="" industry="" with="" an="" interest="" new="" program="" tools="" mathematical="" methods.
This book provides an up-to-date presentation of a broad range of contemporary problems in inverse scattering involving acoustic, elastic and electromagnetic waves. Descriptions will be given of traditional (but still in use and subject to on-going improvements) and more recent methods for identifying either: a) the homogenized material parameters of (spatially) unbounded or bounded heterogeneous media, or b) the detailed composition (spatial distribution of the material parameters) of unbounded or bounded heterogeneous media, or c) the location, shape, orientation and material characteristics of an object embedded in a wellcharacterized homogeneous, homogenized or heterogeneous unbounded or bounded medium, by inversion of reflected, transmitted or scattered spatiotemporal recorded waveforms resulting from the propagation of probe radiation within the medium.
Electromagnetic Scattering by Piergiorgio Uslenghi Pdf
Electromagnetic Scattering is a collection of studies that aims to discuss methods, state of the art, applications, and future research in electromagnetic scattering. The book covers topics related to the subject, which includes low-frequency electromagnetic scattering; the uniform asymptomatic theory of electromagnetic edge diffraction; analyses of problems involving high frequency diffraction and imperfect half planes; and multiple scattering of waves by periodic and random distribution. Also covered in this book are topics such as theories of scattering from wire grid and mesh structures; the electromagnetic inverse problem; computational methods for transmission of waves; and developments in the use of complex singularities in the electromagnetic theory. Engineers and physicists who are interested in the study, developments, and applications of electromagnetic scattering will find the text informative and helpful.
Advances in Time-Domain Computational Electromagnetic Methods by Qiang Ren,Su Yan,Atef Z. Elsherbeni Pdf
Discover state-of-the-art time domain electromagnetic modeling and simulation algorithms Advances in Time-Domain Computational Electromagnetic Methods delivers a thorough exploration of recent developments in time domain computational methods for solving complex electromagnetic problems. The book discuses the main time domain computational electromagnetics techniques, including finite-difference time domain (FDTD), finite-element time domain (FETD), discontinuous Galerkin time domain (DGTD), time domain integral equation (TDIE), and other methods in electromagnetic, multiphysics modeling and simulation, and antenna designs. The book bridges the gap between academic research and real engineering applications by comprehensively surveying the full picture of current state-of-the-art time domain electromagnetic simulation techniques. Among other topics, it offers readers discussions of automatic load balancing schemes for DG DG-FETD/SETD methods and convolution quadrature time domain integral equation methods for electromagnetic scattering. Advances in Time-Domain Computational Electromagnetic Methods also includes: Introductions to cylindrical, spherical, and symplectic FDTD, as well as FDTD for metasurfaces with GSTC and FDTD for nonlinear metasurfaces Explorations of FETD for dispersive and nonlinear media and SETD-DDM for periodic/quasi-periodic arrays Discussions of TDIE, including explicit marching-on-in-time solvers for second-kind time domain integral equations, TD-SIE DDM, and convolution quadrature time domain integral equation methods for electromagnetic scattering Treatments of deep learning, including time domain electromagnetic forward and inverse modeling using a differentiable programming platform Ideal for undergraduate and graduate students studying the design and development of various kinds of communication systems, as well as professionals working in these fields, Advances in Time-Domain Computational Electromagnetic Methods is also an invaluable resource for those taking advanced graduate courses in computational electromagnetic methods and simulation techniques.
