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High Accuracy Finite Difference Methods For The Time Domain Maxwell Equations
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Book Synopsis Higher-Order FDTD Schemes for Waveguides and Antenna Structures by : Nikolaos Kantartzis
Download or read book Higher-Order FDTD Schemes for Waveguides and Antenna Structures written by Nikolaos Kantartzis and published by Springer Nature. This book was released on 2022-06-01 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: This publication provides a comprehensive and systematically organized coverage of higher order finite-difference time-domain or FDTD schemes, demonstrating their potential role as a powerful modeling tool in computational electromagnetics. Special emphasis is drawn on the analysis of contemporary waveguide and antenna structures. Acknowledged as a significant breakthrough in the evolution of the original Yee's algorithm, the higher order FDTD operators remain the subject of an ongoing scientific research. Among their indisputable merits, one can distinguish the enhanced levels of accuracy even for coarse grid resolutions, the fast convergence rates, and the adjustable stability. In fact, as the fabrication standards of modern systems get stricter, it is apparent that such properties become very appealing for the accomplishment of elaborate and credible designs.
Book Synopsis High Order Difference Methods for Time Dependent PDE by : Bertil Gustafsson
Download or read book High Order Difference Methods for Time Dependent PDE written by Bertil Gustafsson and published by Springer Science & Business Media. This book was released on 2007-12-06 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers high order finite difference methods for time dependent PDE. It gives an overview of the basic theory and construction principles by using model examples. The book also contains a general presentation of the techniques and results for well-posedness and stability, with inclusion of the three fundamental methods of analysis both for PDE in its original and discretized form: the Fourier transform, the eneregy method and the Laplace transform.
Book Synopsis Modern EMC Analysis Techniques: Time-domain computational schemes by : Nikolaos V. Kantartzis
Download or read book Modern EMC Analysis Techniques: Time-domain computational schemes written by Nikolaos V. Kantartzis and published by Morgan & Claypool Publishers. This book was released on 2008 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this two-volume book is the systematic and comprehensive description of the most competitive time-domain computational methods for the efficient modeling and accurate solution of contemporary real-world EMC problems. Intended to be self-contained, it performs a detailed presentation of all well-known algorithms, elucidating on their merits or weaknesses, and accompanies the theoretical content with a variety of applications. Outlining the present volume, the analysis covers the theory of the finite-difference time-domain, the transmission-line matrix/modeling, and the finite integration technique. Moreover, alternative schemes, such as the finite-element, the finitevolume, the multiresolution time-domain methods and many others, are presented, while particular attention is drawn to hybrid approaches. To this aim, the general aspects for the correct implementation of the previous algorithms are also exemplified. At the end of every section, an elaborate reference on the prominent pros and possible cons, always in the light of EMC modeling, assists the reader to retrieve the gist of each formulation and decide on his/her best possible selection according to the problem under investigation.
Book Synopsis A Review of High-order and Optimized Finite-difference Methods for Simulating Linear Wave Phenomena by : David W. Zingg
Download or read book A Review of High-order and Optimized Finite-difference Methods for Simulating Linear Wave Phenomena written by David W. Zingg and published by . This book was released on 1996 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "This paper presents a review of high-order and optimized finite-difference methods for numerically simulating the propagation and scattering of linear waves, such as electromagnetic, acoustic, or elastic waves. The spatial operators reviewed include compact schemes, non-compact schemes, schemes on staggered grids, and schemes which are optimized to produce specific characteristics. The time-marching methods discussed include Runge-Kutta methods, Adams-Bashforth methods, and the leapfrog method. In addition, the following fourth-order fully-discrete finite-difference methods are considered: a one-step implicit scheme with a three-point spatial stencil, a one-step explicit scheme with a five-point spatial stencil, and a two-step explicit scheme with a five-point spatial stencil. For each method studied, the number of grid points per wavelength required for accurate simulation of wave propagation over large distances is presented. Recommendations are made with respect to the suitability of the methods for specific problems and practical aspects of their use, such as appropriate Courant numbers and grid densities. Avenues for future research are suggested."
Book Synopsis Computational Electrodynamics by : Allen Taflove
Download or read book Computational Electrodynamics written by Allen Taflove and published by Artech House Antenna Library a. This book was released on 1995 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work represents a university text and professional/research reference on the finite-difference time-domain computational solution method for Maxwell's equations. Sections cover numerical stability, numerical dispersion and dispersive, nonlinear and gain methods of FD-TD and antenna analysis.
Book Synopsis The Finite-Difference Time-Domain Method for Electromagnetics with MATLAB® Simulations by : Atef Z. Elsherbeni
Download or read book The Finite-Difference Time-Domain Method for Electromagnetics with MATLAB® Simulations written by Atef Z. Elsherbeni and published by IET. This book was released on 2015-11-25 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is one of the best books on computational electromagnetics both for graduate students focusing on electromagnetics problems and for practicing engineering professionals in industry and government. It is designed as an advanced textbook and self-study guide to the FDTD method of solving EM problems and simulations. This latest edition has been expanded to include 5 entirely new chapters on advanced topics in the mainstream of FDTD practice. In addition to advanced techniques it also includes applications and examples, and some 'tricks and traps' of using MATLAB to achieve them. Compared to the previous version the second edition is more complete and is a good reference for someone who is performing FDTD research. This book is part of the ACES Series on Computational Electromagnetics and Engineering. Supplementary material can be found at the IET's ebook page Supplementary materials for professors are available upon request via email to [email protected].
Book Synopsis Modern Mathematical Methods and High Performance Computing in Science and Technology by : Vinai K. Singh
Download or read book Modern Mathematical Methods and High Performance Computing in Science and Technology written by Vinai K. Singh and published by Springer. This book was released on 2016-08-06 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book discusses important results in modern mathematical models and high performance computing, such as applied operations research, simulation of operations, statistical modeling and applications, invisibility regions and regular meta-materials, unmanned vehicles, modern radar techniques/SAR imaging, satellite remote sensing, coding, and robotic systems. Furthermore, it is valuable as a reference work and as a basis for further study and research. All contributing authors are respected academicians, scientists and researchers from around the globe. All the papers were presented at the international conference on Modern Mathematical Methods and High Performance Computing in Science & Technology (M3HPCST 2015), held at Raj Kumar Goel Institute of Technology, Ghaziabad, India, from 27–29 December 2015, and peer-reviewed by international experts. The conference provided an exceptional platform for leading researchers, academicians, developers, engineers and technocrats from a broad range of disciplines to meet and discuss state-of-the-art mathematical methods and high performance computing in science & technology solutions. This has brought new prospects for collaboration across disciplines and ideas that facilitate novel breakthroughs.
Book Synopsis Introduction to the Finite-Difference Time-Domain (FDTD) Method for Electromagnetics by : Stephen D. Gedney
Download or read book Introduction to the Finite-Difference Time-Domain (FDTD) Method for Electromagnetics written by Stephen D. Gedney and published by Morgan & Claypool Publishers. This book was released on 2011 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a comprehensive tutorial of the most widely used method for solving Maxwell's equations - the Finite Difference Time-Domain Method. This book is an essential guide for students, researchers, and professional engineers. The book provides all the background required to either research or apply the FDTD method for the solution of Maxwell's equations to practical problems in engineering and science.
Book Synopsis Masters Theses in the Pure and Applied Sciences by : Wade H. Shafer
Download or read book Masters Theses in the Pure and Applied Sciences written by Wade H. Shafer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: Masters Theses in the Pure and Applied Sciences was first conceived, published, and disseminated by the Center for Information and Numerical Data Analysis and Synthesis (CINDAS)* at Purdue University in 1957, starting its coverage of theses with the academic year 1955. Beginning with Volume 13, the printing and dis semination phases of the activity were transferred to University Microfilms/Xerox of Ann Arbor, Michigan, with the thought that such an arrangement would be more beneficial to the academic and general scientific and technical community. After five years of this joint undertaking we had concluded that it was in the interest of all concerned if the printing and distribution of the volumes were handled by an international publishing house to assure improved service and broader dissemination. Hence, starting with Volume 18, Masters Theses in the Pure and Applied Sciences has been disseminated on a worldwide basis by Plenum Publishing Corporation of New York, and in the same year the coverage was broadened to include Canadian universities. All back issues can also be ordered from Plenum. We have reported in Volume 39 (thesis year 1994) a total of 13,953 thesis titles from 21 Canadian and 159 United States universities. We are sure that this broader base for these titles reported will greatly enhance the value of this impor tant annual reference work. While Volume 39 reports theses submitted in 1994, on occasion, certain uni versities do report theses submitted in previous years but not reported at the time.
Book Synopsis Correct Models of Parallel Computing by : S. Noguchi
Download or read book Correct Models of Parallel Computing written by S. Noguchi and published by IOS Press. This book was released on 1997 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 21st century will be the age of network computing. Among the many key technologies in this field, parallel computing and networking technology will play very important roles. In this book emphasis is placed on networking and modeling parallel computing. The topics cover parallel computing algorithms, parallel software, massively parallel computing systems and related applications. Articles cover parallel computing, networking and related applications, to initiate discussions. Since the appearance of Transputer chip T9000, C104, and standardizations of IEEE1355, Transputer systems seem to have opened a new interesting area of parallel computing, networking and many practical applications.
Book Synopsis Pervasive Mobile and Ambient Wireless Communications by : Roberto Verdone
Download or read book Pervasive Mobile and Ambient Wireless Communications written by Roberto Verdone and published by Springer Science & Business Media. This book was released on 2012-01-02 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pervasive Mobile and Ambient Wireless Communications reports the findings of COST 2100, a project of the European intergovernmental COST framework addressing various topics currently emerging in mobile and wireless communications. Drawing on experience developed in this and earlier COST projects, the text represents the final outcome of collaborative work involving more than 500 researchers in 140 institutions and 30 countries (including outside Europe). The book’s subject matter includes: transmission techniques; signal processing; radio channel modelling and measurement; radio network issues; and recent paradigms including ultra-wideband, cooperative, vehicle-to-vehicle and body communications. The research reported comes from a variety of backgrounds: academic, equipment-manufacturing and operational and the information contained in this book will bring the study reported to a wider audience from all those spheres of work. Pervasive Mobile and Ambient Wireless Communications will be of interest to researchers for its cutting-edge analysis and to practitioners for its functional usability.
Book Synopsis Advances in the Applications of Nonstandard Finite Diffference Schemes by : Ronald E. Mickens
Download or read book Advances in the Applications of Nonstandard Finite Diffference Schemes written by Ronald E. Mickens and published by World Scientific. This book was released on 2005 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a concise introduction to the methodology of nonstandard finite difference (NSFD) schemes construction and shows how they can be applied to the numerical integration of differential equations occurring in the natural, biomedical, and engineering sciences. These methods had their genesis in the work of Mickens in the 1990's and are now beginning to be widely studied and applied by other researchers. The importance of the book derives from its clear and direct explanation of NSFD in the introductory chapter along with a broad discussion of the future directions needed to advance the topic.
Book Synopsis Passive Microwave Components and Antennas by : Vitaliy Zhurbenko
Download or read book Passive Microwave Components and Antennas written by Vitaliy Zhurbenko and published by BoD – Books on Demand. This book was released on 2010-04-01 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modelling and computations in electromagnetics is a quite fast-growing research area. The recent interest in this field is caused by the increased demand for designing complex microwave components, modeling electromagnetic materials, and rapid increase in computational power for calculation of complex electromagnetic problems. The first part of this book is devoted to the advances in the analysis techniques such as method of moments, finite-difference time- domain method, boundary perturbation theory, Fourier analysis, mode-matching method, and analysis based on circuit theory. These techniques are considered with regard to several challenging technological applications such as those related to electrically large devices, scattering in layered structures, photonic crystals, and artificial materials. The second part of the book deals with waveguides, transmission lines and transitions. This includes microstrip lines (MSL), slot waveguides, substrate integrated waveguides (SIW), vertical transmission lines in multilayer media as well as MSL to SIW and MSL to slot line transitions.
Book Synopsis Numerical Solution of Differential Equations by : Zhilin Li
Download or read book Numerical Solution of Differential Equations written by Zhilin Li and published by Cambridge University Press. This book was released on 2017-11-30 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: A practical and concise guide to finite difference and finite element methods. Well-tested MATLAB® codes are available online.
Book Synopsis Simulation of Manufacturing Sequences of Functionally Graded Structures by : Gleim, Tobias
Download or read book Simulation of Manufacturing Sequences of Functionally Graded Structures written by Gleim, Tobias and published by kassel university press GmbH. This book was released on 2017-02-10 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: The current paper establishes an axisymmetric model for an inductive heating process. Therein, the fully coupled MAXWELL equations, assuming a temperature dependent permeability, are combined with the non-linear heat conduction equation to yield a monolithic solution strategy. The latter is based on a consistent linearization together with a higher order finite element discretization using GALERKIN'S method in space. For the temporal discretization, the generalized Newmark-? methods, higher order RUNGE-KUTTA methods, and discontinuous and continuous GALERKIN methods are used. Furthermore, the residual error is introduced to open an alternative way to obtain a numerically efficient estimation of the time integration accuracy. Simulation results of the electric, magnetic and thermal fields are provided, together with parameter studies concerning spatial discretization, frequency dependence and penetration depth of the heating zone. Another topic analyzed is the residual error and its estimation quality regarding polynomial degree and time step size. A further aspect of this work is the investigation of the thermal fluid-structure interaction with respect to functionally graded materials. Different coupling strategies for the acceleration of the fixed-point iteration in each time step is in the foreground. Relaxation methods as well as extrapolation methods make it possible to significantly reduce the number of fixed point iterations. At the same time, an adaptive strategy with higher order RUNGE-KUTTA methods can provide a further advantage in combination with acceleration methods.
Book Synopsis Numerical Electromagnetics by : Umran S. Inan
Download or read book Numerical Electromagnetics written by Umran S. Inan and published by Cambridge University Press. This book was released on 2011-04-07 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beginning with the development of finite difference equations, and leading to the complete FDTD algorithm, this is a coherent introduction to the FDTD method (the method of choice for modeling Maxwell's equations). It provides students and professional engineers with everything they need to know to begin writing FDTD simulations from scratch and to develop a thorough understanding of the inner workings of commercial FDTD software. Stability, numerical dispersion, sources and boundary conditions are all discussed in detail, as are dispersive and anisotropic materials. A comparative introduction of the finite volume and finite element methods is also provided. All concepts are introduced from first principles, so no prior modeling experience is required, and they are made easier to understand through numerous illustrative examples and the inclusion of both intuitive explanations and mathematical derivations.
Author :Jeffrey Michael McMahon Publisher :Springer Science & Business Media ISBN 13 :1441982493 Total Pages :204 pages Book Rating :4.4/5 (419 download)
Book Synopsis Topics in Theoretical and Computational Nanoscience by : Jeffrey Michael McMahon
Download or read book Topics in Theoretical and Computational Nanoscience written by Jeffrey Michael McMahon and published by Springer Science & Business Media. This book was released on 2011-06-24 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interest in structures with nanometer-length features has significantly increased as experimental techniques for their fabrication have become possible. The study of phenomena in this area is termed nanoscience, and is a research focus of chemists, pure and applied physics, electrical engineers, and others. The reason for such a focus is the wide range of novel effects that exist at this scale, both of fundamental and practical interest, which often arise from the interaction between metallic nanostructures and light, and range from large electromagnetic field enhancements to extraordinary optical transmission of light through arrays of subwavelength holes. This dissertation is aimed at addressing some of the most fundamental and outstanding questions in nanoscience from a theoretical and computational perspective, specifically: · At the single nanoparticle level, how well do experimental and classical electrodynamics agree? · What is the detailed relationship between optical response and nanoparticle morphology, composition, and environment? · Does an optimal nanostructure exist for generating large electromagnetic field enhancements, and is there a fundamental limit to this? · Can nanostructures be used to control light, such as confining it, or causing fundamentally different scattering phenomena to interact, such as electromagnetic surface modes and diffraction effects? · Is it possible to calculate quantum effects using classical electrodynamics, and if so, how do they affect optical properties?
