Creating Materials with a Desired Refraction Coefficient

Creating Materials with a Desired Refraction Coefficient
Author: Alexander G. Ramm
Publisher: Morgan & Claypool Publishers
Total Pages: 86
Release: 2017-12-20
Genre: Science
ISBN: 1681747111
GET BOOK

Download Creating Materials with a Desired Refraction Coefficient Book in PDF, Epub and Kindle

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)
Author: Alexander G Ramm
Publisher:
Total Pages: 102
Release: 2020-07-06
Genre:
ISBN: 9780750333924
GET BOOK

Download Creating Materials with a Desired Refraction Coefficient (Second Edition) Book in PDF, Epub and Kindle

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
Author: Alexander G Ramm
Publisher: World Scientific
Total Pages: 291
Release: 2023-09-21
Genre: Mathematics
ISBN: 9811276501
GET BOOK

Download Wave Scattering By Small Bodies: Creating Materials With A Desired Refraction Coefficient And Other Applications Book in PDF, Epub and Kindle

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.

Chaos Theory

Chaos Theory
Author: Ioannis Dimotikalis
Publisher: World Scientific
Total Pages: 467
Release: 2011
Genre: Mathematics
ISBN: 9814350346
GET BOOK

Download Chaos Theory Book in PDF, Epub and Kindle

Algorithmic sound composition using coupled cellular automata / Jaime Serquera and Eduardo R. Miranda -- Efficient large-scale forcing in finite-difference simulations of steady isotropic turbulence / Ryo Onishi, Yuya Baba and Keiko Takahashi -- Rendering statistical significance of information flow measures / Angeliki Papana and Dimitris Kugiumtzis. Complexity theory and physical unification : from microscopic to macroscopic level / G.P. Pavlos [und weitere] -- Regular variation, Paretian distributions, and the interplay of light and heavy tails in the fractality of asymptotic models / Dinis D. Pestana, Sandra M. Aleixo and J. Leonel Rocha -- Tools for investigation of dynamics of DC-DC converters within Matlab/Simulink / Dmitry Pikulin -- Chaos as compositional order / Eleri Angharad Pound -- Beta(p, q)-Cantor sets - determinism and randomness / J. Leonel Rocha, Sandra M. Aleixo and Dinis D. Pestana -- Predicting chaos with second method of Lyapunov / Vladimir B. Ryabov -- Analysis of homoclinic bifurcation in Duffing oscillator under two-frequency excitation : peculiarity of using Melnikov method in combination with averaging technique / Vladimir Ryabov and Kenta Fukushima -- Exploring life expectancy limits : first exit time modeling, parameter analysis and forecasts / Christos H. Skiadas and Charilaos Skiadas -- Composing chaotic music from the letter m / Anastasios D. Sotiropoulos -- On the timbre of chaotic algorithmic sounds / Dimitrios A. Sotiropoulos, Anastasios D. Sotiropoulos and Vaggelis D. Sotiropoulos -- The rainbow effect on composing chaotic algorithmic music / Vaggelis D. Sotiropoulos -- A highly chaotic attractor for a dual-channel single-attractor, private communication system / Banlue Srisuchinwong and Buncha Munmuangsaen -- Manifestation of chaos in collective models of nuclei / Pavel Stransky [und weitere] -- Importance of the chaos for computational processes of collective intelligence in social structures / Tadeusz (Ted) Szuba -- Complex signal generators based on capacitors and on piezoelectric loads / Horia-Nicolai L. Teodorescu and Victor P. Cojocaru -- Drift waves' synchronization by using an external signal. The stabilization of a chaotic plasma turbulence / C.L. Xaplanteris and E. Filippaki -- Chaos game technique as a tool for the analysis of natural geomorphological features / G. Zibret and T. Verbovsek -- Dynamics of a steel turning process / Grzegorz Litak and Rafal Rusinek

Topics on Chaotic Systems

Topics on Chaotic Systems
Author: Charilaos Skiadas
Publisher: World Scientific
Total Pages: 435
Release: 2009
Genre: Technology & Engineering
ISBN: 9814271330
GET BOOK

Download Topics on Chaotic Systems Book in PDF, Epub and Kindle

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.

Mathematical Analysis and Applications

Mathematical Analysis and Applications
Author: Michael Ruzhansky
Publisher: John Wiley & Sons
Total Pages: 767
Release: 2018-04-05
Genre: Mathematics
ISBN: 111941430X
GET BOOK

Download Mathematical Analysis and Applications Book in PDF, Epub and Kindle

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
Author: Jan Awrejcewicz
Publisher: BoD – Books on Demand
Total Pages: 616
Release: 2011-09-26
Genre: Computers
ISBN: 9533076208
GET BOOK

Download Numerical Simulations of Physical and Engineering Processes Book in PDF, Epub and Kindle

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.

Scattering By Obstacles And Potentials

Scattering By Obstacles And Potentials
Author: Alexander G Ramm
Publisher: World Scientific
Total Pages: 621
Release: 2017-11-23
Genre: Science
ISBN: 9813220988
GET BOOK

Download Scattering By Obstacles And Potentials Book in PDF, Epub and Kindle

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.

Antenna Synthesis through the Characteristics of Desired Amplitude

Antenna Synthesis through the Characteristics of Desired Amplitude
Author: Mykhaylo I. Andriychuk
Publisher: Cambridge Scholars Publishing
Total Pages: 166
Release: 2019-09-12
Genre: Mathematics
ISBN: 1527539822
GET BOOK

Download Antenna Synthesis through the Characteristics of Desired Amplitude Book in PDF, Epub and Kindle

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.