Scattering Of Acoustic And Electromagnetic Waves By Small Impedance Bodies Of Arbitrary Shapes

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Scattering of Acoustic and Electromagnetic Waves by Small Impedance Bodies of Arbitrary Shapes

Author : Alexander G. Ramm
Publisher : Momentum Press
ISBN 13 : 1606506226
Total Pages : 260 pages
Book Rating : 4.6/5 (65 download)

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Book Synopsis Scattering of Acoustic and Electromagnetic Waves by Small Impedance Bodies of Arbitrary Shapes by : Alexander G. Ramm

Download or read book Scattering of Acoustic and Electromagnetic Waves by Small Impedance Bodies of Arbitrary Shapes written by Alexander G. Ramm and published by Momentum Press. This book was released on 2013-11-04 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: The behavior of acoustic or electromagnetic waves reflecting off, and scattering from, intercepted bodies of any size and kind can make determinations about the materials of those bodies and help in better understanding how to manipulate such materials for desired characteristics. This book offers analytical formulas which allow you to calculate acoustic and electromagnetic waves, scattered by one and many small bodies of an arbitrary shape under various boundary conditions. Equations for the effective (self-consistent) field in media consisting of many small bodies are derived. These results and formulas are new and not available in the works of other authors. In particular, the theory developed in this book is different from the classical work of Rayleigh on scattering by small bodies: not only analytical formulas are derived for the waves scattered by small bodies of an arbitrary shape, but the amplitude of the scattered waves is much larger, of the order O(a 2-k), than in Rayleigh scattering, where the order of the scattered waves is O(a3). Moreover, the many-body scattering theory is developed and equations for the effective field in the medium in which many small particles are embedded are derived. Applications, including meta- materials with a desired refraction coefficient, are discussed.

Wave Scattering by Small Bodies of Arbitrary Shapes

Author : Alexander G. Ramm
Publisher : World Scientific
ISBN 13 : 9812561862
Total Pages : 313 pages
Book Rating : 4.8/5 (125 download)

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Book Synopsis Wave Scattering by Small Bodies of Arbitrary Shapes by : Alexander G. Ramm

Download or read book Wave Scattering by Small Bodies of Arbitrary Shapes written by Alexander G. Ramm and published by World Scientific. This book was released on 2005 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Electromagnetic And Acoustic Scattering: Detection And Inverse Problems - Proceedings Of The Conference

Author : Claude Bourrely
Publisher : World Scientific
ISBN 13 : 981461887X
Total Pages : 374 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Electromagnetic And Acoustic Scattering: Detection And Inverse Problems - Proceedings Of The Conference by : Claude Bourrely

Download or read book Electromagnetic And Acoustic Scattering: Detection And Inverse Problems - Proceedings Of The Conference written by Claude Bourrely and published by World Scientific. This book was released on 1989-03-01 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents:Light Scattering Problems in Astrophysics (J M Perrin)Surface Integral Operators and their Use in Acoustics and Electromagnetics (A Berthon)Acoustic Diffraction by Slender Bodies of Arbitrary Shape (M Tran-Van-Nhieu)High and Low Energy Approximations for the Electromagnetic Scattering by Irregular Objects (B Torresani)Electromagnetic Scattering and Mutual Interactions Between Closely Spaced Spheroids (J Dalmas & R Deleuil)Acoustical Imaging of 2D Fluid Targets Buried in a Half Space: A Diffraction Tomography Approach Using Line-Sources Insonification (B Duchene et al)Contribution of Radar Polarimetry in Radar Target Discrimination. The “Poincaré Planisphere”: a New Representation Method (E Pottier)Electromagnetic and Acoustic Waves in Random Media: from Propagation to Anderson Localization (B Souillard)Weak Disorder: Homogeneisation Method and Propagation (C Bardos)Coherent Propagation of Surface Acoustic Waves in Quasi-Periodic and Random Arrays of Grooves (D Sornette et al)On Asymptotic Behaviour of Waves States in Random Media (F Bentosela & R Rodriguez)A Study of Acoustic Transmission of Transient Signal in a Inhomogeneous Medium with the Help of a Wavelet Transform. Application to an Air-Water Plane Interface (G Saracco & Ph Tchamitchian)Three-Dimensional Impedance Scattering Theory (P Sabatier)Survey of Optimization Algorithms Applied to Inverse Problems (A Roger)A Linearized Inverse Problem: Acoustic Impedance Tomography of Biological Media (J P Lefebvre)and others Readership: Electrical engineers and mathematicians.

Wave Scattering By Small Bodies: Creating Materials With A Desired Refraction Coefficient And Other Applications

$Download Wave Scattering By Small Bodies: Creating Materials With A Desired Refraction Coefficient And Other Applications PDF Online Free$

Author : Alexander G Ramm
Publisher : World Scientific
ISBN 13 : 9811276501
Total Pages : 291 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Wave Scattering By Small Bodies: Creating Materials With A Desired Refraction Coefficient And Other Applications by : Alexander G Ramm

Download or read book Wave Scattering By Small Bodies: Creating Materials With A Desired Refraction Coefficient And Other Applications written by Alexander G Ramm and published by World Scientific. This book was released on 2023-09-21 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is a research monograph. An asymptotically exact solution of the many-body scattering problem is given under the assumption a ≪ d ≪ λ, where a is the characteristic size of a small particle, d is the smallest distance between particles and λ is the wavelength in the medium in which the particles are embedded. Scattering of scalar and electromagnetic waves is considered. Heat transfer theory in the medium in which many small bodies are embedded is developed. Quantum-mechanical theory of scattering by many potentials with small support is constructed.On the basis of these theoretical results, important applications are presented. First, a method for creating materials with a desired refraction coefficient is given. Secondly, a method for creating wave-focusing materials is developed. Technological problems to be solved for practical usage of these applied results are discussed.This book contains the contents of the author's earlier monograph, published in 2013. New appendices, based on the author's review papers published after 2013, are added.

Scattering By Obstacles And Potentials

Author : Alexander G Ramm
Publisher : World Scientific
ISBN 13 : 9813220988
Total Pages : 621 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Scattering By Obstacles And Potentials by : Alexander G Ramm

Download or read book Scattering By Obstacles And Potentials written by Alexander G Ramm and published by World Scientific. This book was released on 2017-11-23 with total page 621 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is important as it contains results many of which are not available in the literature, except in the author's papers. Among other things, it gives uniqueness theorems for inverse scattering problems when the data are non-over-determined, numerical method for solving inverse scattering problems, a method (MRC) for solving direct scattering problem.

Electromagnetic and Acoustic Scattering by Simple Shapes

Author : J. S. Asvestas
Publisher :
ISBN 13 :
Total Pages : 756 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Electromagnetic and Acoustic Scattering by Simple Shapes by : J. S. Asvestas

Download or read book Electromagnetic and Acoustic Scattering by Simple Shapes written by J. S. Asvestas and published by . This book was released on 1970 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book represents an exhaustive study of the scattering properties of acoustically soft and hard bodies and of perfect conductors, presented for 15 geometrically-simple shapes. Such shapes are important in their own right and as a basis for synthesizing the radiation and scattering properties of more complex configurations. Each shape is treated in a separate chapter whose contents are presented in stylized format for easy reference. Emphasis is placed on results in the form of formulae and diagrams. Although no detailed derivation are included, an outline of methods in scattering theory is given in the Introduction. (Author).

Scattering of Acoustic and Elastic Waves by Surfaces of Arbitrary Shape

Author : Robert Peter Banaugh
Publisher :
ISBN 13 :
Total Pages : 196 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Scattering of Acoustic and Elastic Waves by Surfaces of Arbitrary Shape by : Robert Peter Banaugh

Download or read book Scattering of Acoustic and Elastic Waves by Surfaces of Arbitrary Shape written by Robert Peter Banaugh and published by . This book was released on 1962 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Analysis and Applications

Author : Michael Ruzhansky
Publisher : John Wiley & Sons
ISBN 13 : 1119414342
Total Pages : 764 pages
Book Rating : 4.1/5 (194 download)

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Book Synopsis Mathematical Analysis and Applications by : Michael Ruzhansky

Download or read book Mathematical Analysis and Applications written by Michael Ruzhansky and published by John Wiley & Sons. This book was released on 2018-05-11 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authoritative text that presents the current problems, theories, and applications of mathematical analysis research Mathematical Analysis and Applications: Selected Topics offers the theories, methods, and applications of a variety of targeted topics including: operator theory, approximation theory, fixed point theory, stability theory, minimization problems, many-body wave scattering problems, Basel problem, Corona problem, inequalities, generalized normed spaces, variations of functions and sequences, analytic generalizations of the Catalan, Fuss, and Fuss–Catalan Numbers, asymptotically developable functions, convex functions, Gaussian processes, image analysis, and spectral analysis and spectral synthesis. The authors—a noted team of international researchers in the field— highlight the basic developments for each topic presented and explore the most recent advances made in their area of study. The text is presented in such a way that enables the reader to follow subsequent studies in a burgeoning field of research. This important text: Presents a wide-range of important topics having current research importance and interdisciplinary applications such as game theory, image processing, creation of materials with a desired refraction coefficient, etc. Contains chapters written by a group of esteemed researchers in mathematical analysis Includes problems and research questions in order to enhance understanding of the information provided Offers references that help readers advance to further study Written for researchers, graduate students, educators, and practitioners with an interest in mathematical analysis, Mathematical Analysis and Applications: Selected Topics includes the most recent research from a range of mathematical fields.

Chaos Theory

Author : Mykhaylo Andriychuk
Publisher : BoD – Books on Demand
ISBN 13 : 1837681228
Total Pages : 92 pages
Book Rating : 4.8/5 (376 download)

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Book Synopsis Chaos Theory by : Mykhaylo Andriychuk

Download or read book Chaos Theory written by Mykhaylo Andriychuk and published by BoD – Books on Demand. This book was released on 2024-05-22 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaos Theory – Recent Advances, New Perspectives and Applications provides a comprehensive overview of chaos theory. It includes five chapters that discuss the history and development of chaos theory, the effectiveness of a chaos auto-associated model based on the Chebyshev-type activation function, neurite morphology, chemical self-replication, and the use of chaotic small particles to create materials with specific refractive index and magnetic permeability.

Electromagnetic Scattering

Author : Thomas B. A. Senior
Publisher :
ISBN 13 :
Total Pages : 11 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Electromagnetic Scattering by : Thomas B. A. Senior

Download or read book Electromagnetic Scattering written by Thomas B. A. Senior and published by . This book was released on 1983 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report summarizes research results produced by the investigator under support of the Air Force grant. The work has been mainly concerned with the scattering of electromagnetic waves by bounded bodies of small electrical dimensions, but with some consideration also of acoustic scattering by soft, hard and homogeneous penetrable shapes. (author).

Inverse Acoustic and Electromagnetic Scattering Theory

Author : David Colton
Publisher : Springer Science & Business Media
ISBN 13 : 3662035375
Total Pages : 347 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Inverse Acoustic and Electromagnetic Scattering Theory by : David Colton

Download or read book Inverse Acoustic and Electromagnetic Scattering Theory written by David Colton and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the mathematical and numerical analysis of the inverse scattering problem for acoustic and electromagnetic waves. The second edition includes material on Newton’s method for the inverse obstacle problem, an elegant proof of uniqueness for the inverse medium problem, a discussion of the spectral theory of the far field operator and a method for determining the support of an inhomogeneous medium from far field data.

Handbook of Applications of Chaos Theory

Author : Christos H. Skiadas
Publisher : CRC Press
ISBN 13 : 1466590440
Total Pages : 934 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Handbook of Applications of Chaos Theory by : Christos H. Skiadas

Download or read book Handbook of Applications of Chaos Theory written by Christos H. Skiadas and published by CRC Press. This book was released on 2017-12-19 with total page 934 pages. Available in PDF, EPUB and Kindle. Book excerpt: In addition to explaining and modeling unexplored phenomena in nature and society, chaos uses vital parts of nonlinear dynamical systems theory and established chaotic theory to open new frontiers and fields of study. Handbook of Applications of Chaos Theory covers the main parts of chaos theory along with various applications to diverse areas. Expert contributors from around the world show how chaos theory is used to model unexplored cases and stimulate new applications. Accessible to scientists, engineers, and practitioners in a variety of fields, the book discusses the intermittency route to chaos, evolutionary dynamics and deterministic chaos, and the transition to phase synchronization chaos. It presents important contributions on strange attractors, self-exciting and hidden attractors, stability theory, Lyapunov exponents, and chaotic analysis. It explores the state of the art of chaos in plasma physics, plasma harmonics, and overtone coupling. It also describes flows and turbulence, chaotic interference versus decoherence, and an application of microwave networks to the simulation of quantum graphs. The book proceeds to give a detailed presentation of the chaotic, rogue, and noisy optical dissipative solitons; parhelic-like circle and chaotic light scattering; and interesting forms of the hyperbolic prism, the Poincaré disc, and foams. It also covers numerous application areas, from the analysis of blood pressure data and clinical digital pathology to chaotic pattern recognition to economics to musical arts and research.

Electromagnetic and Acoustic Scattering by Simple Shapes

Author : J. S. Asvestas
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (15 download)

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Book Synopsis Electromagnetic and Acoustic Scattering by Simple Shapes by : J. S. Asvestas

Download or read book Electromagnetic and Acoustic Scattering by Simple Shapes written by J. S. Asvestas and published by . This book was released on 1987 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Foundations of Chaos Revisited: From Poincaré to Recent Advancements

Author : Christos Skiadas
Publisher : Springer
ISBN 13 : 3319297015
Total Pages : 268 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis The Foundations of Chaos Revisited: From Poincaré to Recent Advancements by : Christos Skiadas

Download or read book The Foundations of Chaos Revisited: From Poincaré to Recent Advancements written by Christos Skiadas and published by Springer. This book was released on 2016-04-29 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: With contributions from a number of pioneering researchers in the field, this collection is aimed not only at researchers and scientists in nonlinear dynamics but also at a broader audience interested in understanding and exploring how modern chaos theory has developed since the days of Poincaré. This book was motivated by and is an outcome of the CHAOS 2015 meeting held at the Henri Poincaré Institute in Paris, which provided a perfect opportunity to gain inspiration and discuss new perspectives on the history, development and modern aspects of chaos theory. Henri Poincaré is remembered as a great mind in mathematics, physics and astronomy. His works, well beyond their rigorous mathematical and analytical style, are known for their deep insights into science and research in general, and the philosophy of science in particular. The Poincaré conjecture (only proved in 2006) along with his work on the three-body problem are considered to be the foundation of modern chaos theory.

Numerical Simulations of Physical and Engineering Processes

Author : Jan Awrejcewicz
Publisher : BoD – Books on Demand
ISBN 13 : 9533076208
Total Pages : 616 pages
Book Rating : 4.5/5 (33 download)

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Book Synopsis Numerical Simulations of Physical and Engineering Processes by : Jan Awrejcewicz

Download or read book Numerical Simulations of Physical and Engineering Processes written by Jan Awrejcewicz and published by BoD – Books on Demand. This book was released on 2011-09-26 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Simulations of Physical and Engineering Process is an edited book divided into two parts. Part I devoted to Physical Processes contains 14 chapters, whereas Part II titled Engineering Processes has 13 contributions. The book handles the recent research devoted to numerical simulations of physical and engineering systems. It can be treated as a bridge linking various numerical approaches of two closely inter-related branches of science, i.e. physics and engineering. Since the numerical simulations play a key role in both theoretical and application oriented research, professional reference books are highly needed by pure research scientists, applied mathematicians, engineers as well post-graduate students. In other words, it is expected that the book will serve as an effective tool in training the mentioned groups of researchers and beyond.

Electromagnetic And Acoustic Scattering Simple Shapes

Author : J. J. Bowman
Publisher : CRC Press
ISBN 13 : 9780891168850
Total Pages : 728 pages
Book Rating : 4.1/5 (688 download)

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Book Synopsis Electromagnetic And Acoustic Scattering Simple Shapes by : J. J. Bowman

Download or read book Electromagnetic And Acoustic Scattering Simple Shapes written by J. J. Bowman and published by CRC Press. This book was released on 1988-09-01 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Antenna Synthesis through the Characteristics of Desired Amplitude

Author : Mykhaylo I. Andriychuk
Publisher : Cambridge Scholars Publishing
ISBN 13 : 1527539822
Total Pages : 166 pages
Book Rating : 4.5/5 (275 download)

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Book Synopsis Antenna Synthesis through the Characteristics of Desired Amplitude by : Mykhaylo I. Andriychuk

Download or read book Antenna Synthesis through the Characteristics of Desired Amplitude written by Mykhaylo I. Andriychuk and published by Cambridge Scholars Publishing. This book was released on 2019-09-12 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to the synthesis problems that arise in the theory and design of radiating systems (antennas). The characteristics of desired amplitude are data placed into a synthesis problem. A synthesis problem belongs to a class of inverse problems and its aim is to determine a distribution of current or fields in an antenna, which produces the amplitude radiation characteristic as close as possible to the desired one. Freedom of choice of phase distribution of the desired radiation pattern (RP) is used as an additional possibility of better approximation to such RPs. This book studies various different types of antennas and arrays as the radiation systems under consideration. A special class of problems related to acoustic and electromagnetic scattering on a set of bodies (particles) of small size is also discussed, while the constructive procedures of creating inhomogeneous materials with specific properties are proposed.