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Creating Materials With A Desired Refraction Coefficient


Creating Materials With A Desired Refraction Coefficient
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Creating Materials With A Desired Refraction Coefficient


Creating Materials With A Desired Refraction Coefficient
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Author : Alexander G. Ramm
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2017-12-20

Creating Materials With A Desired Refraction Coefficient written by Alexander G. Ramm and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-20 with Science categories.


Creating Materials with a Desired Refraction Coefficient' provides a recipe for creating materials with a desired refraction coefficient, and the many-body wave scattering problem for many small impedance bodies is solved. The physical assumptions make the multiple scattering effects essential. On the basis of this theory, a recipe for creating materials with a desired refraction coefficient is given. Technological problems are formulated which, when solved, make the theory practically applicable. The Importance of a problem of producing a small particle with a desired boundary impedance is emphasized, and inverse scattering with non-over-determined scattering data is considered.



Creating Materials With A Desired Refraction Coefficient Second Edition


Creating Materials With A Desired Refraction Coefficient Second Edition
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Author : Alexander G Ramm
language : en
Publisher:
Release Date : 2020-07-06

Creating Materials With A Desired Refraction Coefficient Second Edition written by Alexander G Ramm and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-06 with categories.


In Ramm's second edition on refraction coefficient the author shares his recipe for creating materials with a desired refraction coefficient and solves the many-body wave scattering problem for many small impedance bodies. Technical problems are described which, when solved, make this theory practically applicable. It also provides physical and mathematical arguments for the possibility to produce such particles. Inverse scattering with non-over-determined scattering data is discussed. Revised and expanded, this new edition includes three new chapters: the discussion of technological problems to be solved for immediate applicability for creating materials with a desired refraction coefficient; symmetry properties of the solutions to the Helmholtz equation and new results on symmetry properties in harmonic analysis; and theorems in inverse scattering. Key Features Presents a method for creating materials with a desired refraction coefficient Includes a process for creating wave-focusing materials Highlights inverse problems of finding the potential from the non-over-determined scattering data Provides an overview of symmetry properties in scattering theory



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


Wave Scattering By Small Bodies Creating Materials With A Desired Refraction Coefficient And Other Applications
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Author : Alexander G Ramm
language : en
Publisher: World Scientific
Release Date : 2023-09-21

Wave Scattering By Small Bodies Creating Materials With A Desired Refraction Coefficient And Other Applications written by Alexander G Ramm and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-21 with Mathematics categories.


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.



Creating Materials With A Desired Refraction Coefficient


Creating Materials With A Desired Refraction Coefficient
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Author :
language : en
Publisher:
Release Date : 2017

Creating Materials With A Desired Refraction Coefficient written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Electronic book categories.




Chaos Theory Modeling Simulation And Applications Selected Papers From The 3rd Chaotic Modeling And Simulation International Conference Chaos2010


Chaos Theory Modeling Simulation And Applications Selected Papers From The 3rd Chaotic Modeling And Simulation International Conference Chaos2010
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Author : Christos H Skiadas
language : en
Publisher: World Scientific
Release Date : 2011-05-31

Chaos Theory Modeling Simulation And Applications Selected Papers From The 3rd Chaotic Modeling And Simulation International Conference Chaos2010 written by Christos H Skiadas and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-31 with Science categories.


The work done in chaotic modeling and simulation during the last decades has changed our views of the world around us and has introduced new scientific tools, methods and techniques. Advanced topics of these achievements are included in this volume on Chaos Theory which focuses on Chaotic Modeling, Simulation and Applications of the nonlinear phenomena. This volume includes the best papers presented in the 3rd International Conference on CHAOS. This interdisciplinary conference attracted people from many scientific fields dealing with chaos, nonlinear dynamics, fractals and the works presented and the papers included here are of particular interest that could provide a broad understanding of chaos in its various forms.The chapters relate to many fields of chaos including Dynamical and Nonlinear Systems, Attractors and Fractals, Hydro-Fluid Dynamics and Mechanics, Chaos in Meteorology and Cosmology, Chaos in Biology and Genetics, Chaotic Control, Chaos in Economy and Markets, and Computer Composition and Chaotic Simulations, including related applications.



Antenna Synthesis Through The Characteristics Of Desired Amplitude


Antenna Synthesis Through The Characteristics Of Desired Amplitude
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Author : Mykhaylo I. Andriychuk
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2019-09-12

Antenna Synthesis Through The Characteristics Of Desired Amplitude written by Mykhaylo I. Andriychuk and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-12 with Mathematics categories.


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.



Mathematical Analysis And Applications


Mathematical Analysis And Applications
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Author : Michael Ruzhansky
language : en
Publisher: John Wiley & Sons
Release Date : 2018-04-11

Mathematical Analysis And Applications written by Michael Ruzhansky and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-11 with Mathematics categories.


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.



Numerical Simulations Of Physical And Engineering Processes


Numerical Simulations Of Physical And Engineering Processes
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Author : Jan Awrejcewicz
language : en
Publisher: BoD – Books on Demand
Release Date : 2011-09-26

Numerical Simulations Of Physical And Engineering Processes written by Jan Awrejcewicz and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-26 with Computers categories.


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.



Topics On Chaotic Systems Selected Papers From Chaos 2008 International Conference


Topics On Chaotic Systems Selected Papers From Chaos 2008 International Conference
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Author : Christos H Skiadas
language : en
Publisher: World Scientific
Release Date : 2009-05-13

Topics On Chaotic Systems Selected Papers From Chaos 2008 International Conference written by Christos H Skiadas and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-05-13 with Technology & Engineering categories.


This volume includes the best papers presented at the CHAOS 2008 International Conference on Chaotic Modeling, Simulation and Applications. It provides a valuable collection of new ideas, methods, and techniques in the field of nonlinear dynamics, chaos, fractals and their applications in general science and in engineering sciences.It touches on many fields such as chaos, dynamical systems, nonlinear systems, fractals and chaotic attractors. It also covers mechanics, hydrofluid dynamics, chaos in meteorology and cosmology, Hamiltonian and quantum chaos, chaos in biology and genetics, chaotic control, and chaos in economy and markets, and chaotic simulations; thus, containing cutting-edge interdisciplinary research with high-interest applications.These contributions present new solutions by analyzing the relevant data and through the use of recent advances in different fields, especially in chaotic simulation methods and techniques.



Scattering By Obstacles And Potentials


Scattering By Obstacles And Potentials
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Author : Alexander G Ramm
language : en
Publisher: World Scientific
Release Date : 2017-11-23

Scattering By Obstacles And Potentials written by Alexander G Ramm and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-23 with Science categories.


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.