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Author: B. N. Mandal Publisher: Computational Mechanics ISBN: Category : Science Languages : en Pages : 414
Book Description
In this unique volume the authors review the development of the subject, virtually from its inception. Details of much of the research work carded out in the linearized theory of water waves concerning problems of water wave scattering by barriers is incorporated.
Author: B. N. Mandal Publisher: Computational Mechanics ISBN: Category : Science Languages : en Pages : 414
Book Description
In this unique volume the authors review the development of the subject, virtually from its inception. Details of much of the research work carded out in the linearized theory of water waves concerning problems of water wave scattering by barriers is incorporated.
Author: Birendra Nath Mandal Publisher: CRC Press ISBN: 1498705537 Category : Mathematics Languages : en Pages : 375
Book Description
The theory of water waves is most varied and is a fascinating topic. It includes a wide range of natural phenomena in oceans, rivers, and lakes. It is mostly concerned with elucidation of some general aspects of wave motion including the prediction of behaviour of waves in the presence of obstacles of some special configurations that are of interes
Author: Ping Sheng Publisher: Springer Science & Business Media ISBN: 3540291563 Category : Science Languages : en Pages : 341
Book Description
Waves represent an important topic of study in physics, mathematics, and engineering. This volume is a resource book for those interested in understanding the physics underlying nanotechnology and mesoscopic phenomena. It aims to bridge the gap between the textbooks and research frontiers in wave related topics.
Author: Ping Sheng Publisher: World Scientific ISBN: 9789971505394 Category : Science Languages : en Pages : 660
Book Description
The past decade has witnessed breakthroughs in the understanding of the wave localization phenomena and its implications for wave multiple scattering in inhomogeneous media. This book brings together review articles written by noted researchers in this field in a tutorial manner so as to give the readers a coherent picture of its status. It would be valuable both as an up-to-date reference for active researchers as well as a readable source for students looking to gain an understanding of the latest results.
Author: Alexander G. Ramm Publisher: World Scientific ISBN: 9812561862 Category : Technology & Engineering Languages : en Pages : 314
Book Description
This book presents analytical formulas which allow one to calculate the S-matrix for the acoustic and electromagnetic wave scattering by small bodies or arbitrary shapes with arbitrary accuracy. Equations for the self-consistent field in media consisting of many small bodies are derived. Applications of these results to ultrasound mammography and electrical engineering are considered.The above formulas are not available in the works of other authors. Their derivation is based on a mathematical theory for solving integral equations of electrostatics, magnetostatics, and other static fields. These equations are at a simple characteristic value. Convergent iterative processes are constructed for stable solution of these equations. The theory completes the classical work of Rayleigh on scattering by small bodies by providing analytical formulas for polarizability tensors for bodies of arbitrary shapes.
Author: P. A. Martin Publisher: Cambridge University Press ISBN: 1108880746 Category : Mathematics Languages : en Pages :
Book Description
The wave equation, a classical partial differential equation, has been studied and applied since the eighteenth century. Solving it in the presence of an obstacle, the scatterer, can be achieved using a variety of techniques and has a multitude of applications. This book explains clearly the fundamental ideas of time-domain scattering, including in-depth discussions of separation of variables and integral equations. The author covers both theoretical and computational aspects, and describes applications coming from acoustics (sound waves), elastodynamics (waves in solids), electromagnetics (Maxwell's equations) and hydrodynamics (water waves). The detailed bibliography of papers and books from the last 100 years cement the position of this work as an essential reference on the topic for applied mathematicians, physicists and engineers.
Author: Christophe Bourlier Publisher: Elsevier ISBN: 0081023618 Category : Technology & Engineering Languages : en Pages : 314
Book Description
Radar Propagation and Scattering in a Complex Maritime Environment addresses advanced numerical techniques used to significantly reduce the complexity and memory requirement for solving the linear system that results from the discretization of the boundary integral equations by the Method of Moments (MoM). Typically, the problem of the VHF wave scattering from an object above a rough sea surface in a ducting environment is investigated as is the HF radar propagation above the Earth in the presence of islands. Along with these topics, the book also covers rapid asymptotic theories, which are derived and compared with references methods based on the MoM. - Presents tactics on scattering from both rough surfaces and near a rough surface - Discusses radar propagation in ducting environments - Includes numerical techniques to accelerate MoM
Author: Hyo J. Eom Publisher: Springer Science & Business Media ISBN: 3642594875 Category : Science Languages : en Pages : 251
Book Description
The Fourier transform technique has been widely used in electrical engineer ing, which covers signal processing, communication, system control, electro magnetics, and optics. The Fourier transform-technique is particularly useful in electromagnetics and optics since it provides a convenient mathematical representation for wave scattering, diffraction, and propagation. Thus the Fourier transform technique has been long applied to the wave scattering problems that are often encountered in microwave antenna, radiation, diffrac tion, and electromagnetic interference. In order to u~derstand wave scattering in general, it is necessary to solve the wave equation subject to the prescribed boundary conditions. The purpose of this monograph is to present rigorous so lutions to the boundary-value problems by solving the wave equation based on the Fourier transform. In this monograph the technique of separation of vari ables is used to solve the wave equation for canonical scattering geometries such as conducting waveguide structures and rectangular/circular apertures. The Fourier transform, mode-matching, and residue calculus techniques are applied to obtain simple, analytic, and rapidly-convergent series solutions. The residue calculus technique is particularly instrumental in converting the solutions into series representations that are efficient and amenable to nu merical analysis. We next summarize the steps of analysis method for the scattering problems considered in this book. 1. Divide the scattering domain into closed and open regions. 2. Represent the scattered fields in the closed and open regions in terms of the Fourier series and transform, respectively. 3.
Author: Hemen Dutta Publisher: Springer ISBN: 3319999184 Category : Technology & Engineering Languages : en Pages : 809
Book Description
This book addresses key aspects of recent developments in applied mathematical analysis and its use. It also highlights a broad range of applications from science, engineering, technology and social perspectives. Each chapter investigates selected research problems and presents a balanced mix of theory, methods and applications for the chosen topics. Special emphasis is placed on presenting basic developments in applied mathematical analysis, and on highlighting the latest advances in this research area. The book is presented in a self-contained manner as far as possible, and includes sufficient references to allow the interested reader to pursue further research in this still-developing field. The primary audience for this book includes graduate students, researchers and educators; however, it will also be useful for general readers with an interest in recent developments in applied mathematical analysis and applications.
Author: B. N. Mandal
Author: B. N. Mandal
Author: Birendra Nath Mandal
Author: Ping Sheng
Author: Ping Sheng
Author: P. A. Martin
Author: Alexander G. Ramm
Author: P. A. Martin
Author: Christophe Bourlier
Author: Hyo J. Eom
Author: Hemen Dutta