Download or read book Development and Application of the Finite Difference Time Domain FDTD Method written by Wei Fan and published by . This book was released on 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Time-domain numerical methods are widely applied in modern engineering problems. In modeling electromagnetic structure problems, finite-difference time-domain (FDTD) method is one of the most well-known and widely adopted methods due to its algorithmic simplicity and flexibility. The major constraint of the FDTD method is, in its iterative solution process, that the time step is restricted by the Courant-Friedrichs-Lewy (CFL) condition. Simply to say, the finer the spatial discretization (often required by accuracy), the smaller time step that can be used. As a result, the computational speed and efficiency are limited. In the first half of this thesis, we analyze the FDTD method, review its instability and present its eigen-mode decomposition. Based on the finding, we then derived the analytic solution of the FDTD method, presenting an alternative non-iterative time-domain approach for electromagnetic problems. In the second half of the thesis, we focus on an important application of the FDTD method, the computational time reversal (TR) technique, which is an algorithm applied in inverse source problems such as source reconstruction. The algorithm is thoroughly investigated in theory, a new condition is presented for precise source reconstructions, and a mathematical model is developed to reformulate the time-reversal process in an optimization manner. Finally, band-limited fields or signals are incorporated into the model to make the time reversal method practical. Initial numerical experiments are conducted, and the results demonstrate the effectiveness and potentials of the proposed time-reversal method in source reconstructions and microwave structure synthesis in the future.
Download or read book Introduction to the Finite Difference Time Domain FDTD Method for Electromagnetics written by Stephen Gedney and published by Springer Nature. This book was released on 2022-05-31 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to the Finite-Difference Time-Domain (FDTD) Method for Electromagnetics 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 who want to gain a fundamental knowledge of the FDTD method. It can accompany an undergraduate or entry-level graduate course or be used for self-study. 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. Introduction to the Finite-Difference Time-Domain (FDTD) Method for Electromagnetics guides the reader through the foundational theory of the FDTD method starting with the one-dimensional transmission-line problem and then progressing to the solution of Maxwell's equations in three dimensions. It also provides step by step guides to modeling physical sources, lumped-circuit components, absorbing boundary conditions, perfectly matched layer absorbers, and sub-cell structures. Post processing methods such as network parameter extraction and far-field transformations are also detailed. Efficient implementations of the FDTD method in a high level language are also provided. Table of Contents: Introduction / 1D FDTD Modeling of the Transmission Line Equations / Yee Algorithm for Maxwell's Equations / Source Excitations / Absorbing Boundary Conditions / The Perfectly Matched Layer (PML) Absorbing Medium / Subcell Modeling / Post Processing
Download or read book Parallel Finite difference Time domain Method written by Wenhua Yu and published by Artech House Publishers. This book was released on 2006 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: The finite-difference time-domain (FTDT) method has revolutionized antenna design and electromagnetics engineering. This book raises the FDTD method to the next level by empowering it with the vast capabilities of parallel computing. It shows engineers how to exploit the natural parallel properties of FDTD to improve the existing FDTD method and to efficiently solve more complex and large problem sets. Professionals learn how to apply open source software to develop parallel software and hardware to run FDTD in parallel for their projects. The book features hands-on examples that illustrate th.
Download or read book Development and Evaluation of Novel Finite difference Time domain Methods for Solving Maxwell s Equations written by Guilin Sun and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
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].
Download or read book X Ray Line Profile Analysis in Materials Science written by Gubicza, Jen? and published by IGI Global. This book was released on 2014-03-31 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: X-ray line profile analysis is an effective and non-destructive method for the characterization of the microstructure in crystalline materials. Supporting research in the area of x-ray line profile analysis is necessary in promoting further developments in this field. X-Ray Line Profile Analysis in Materials Science aims to synthesize the existing knowledge of the theory, methodology, and applications of x-ray line profile analysis in real-world settings. This publication presents both the theoretical background and practical implementation of x-ray line profile analysis and serves as a reference source for engineers in various disciplines as well as scholars and upper-level students.
Download or read book Advances in FDTD Computational Electrodynamics written by Allen Taflove and published by Artech House. This book was released on 2013 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in photonics and nanotechnology have the potential to revolutionize humanitys ability to communicate and compute. To pursue these advances, it is mandatory to understand and properly model interactions of light with materials such as silicon and gold at the nanoscale, i.e., the span of a few tens of atoms laid side by side. These interactions are governed by the fundamental Maxwells equations of classical electrodynamics, supplemented by quantum electrodynamics. This book presents the current state-of-the-art in formulating and implementing computational models of these interactions. Maxwells equations are solved using the finite-difference time-domain (FDTD) technique, pioneered by the senior editor, whose prior Artech House books in this area are among the top ten most-cited in the history of engineering. This cutting-edge resource helps readers understand the latest developments in computational modeling of nanoscale optical microscopy and microchip lithography, as well as nanoscale plasmonics and biophotonics.
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.
Download or read book Computational Electrodynamics written by Allen Taflove and published by Artech House Publishers. This book was released on 2005 with total page 1050 pages. Available in PDF, EPUB and Kindle. Book excerpt: This extensively revised and expanded third edition of the Artech House bestseller, Computational Electrodynamics: The Finite-Difference Time-Domain Method, offers you the most up-to-date and definitive resource on this critical method for solving Maxwell's equations. There has been considerable advancement in FDTD computational technology over the past few years, and this new edition brings you the very latest details with four new invited chapters on advanced techniques for PSTD, unconditional stability, provably stable FDTD-FETD hybrids, and hardware acceleration. Moreover, you find many completely new sections throughout the book, including major updates on convolutional PML ABCs; dispersive, nonlinear, classical-gain, and quantum-gain materials; and micro-, nano-, and bio- photonics.
Download or read book Development of an Accelerated Finite difference Time domain Solver Using Modern Graphics Processors written by Daniel Kenneth Price and published by ProQuest. This book was released on 2009 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The development and application of electronic devices rely on efficient, correct usage of electromagnetic (EM) waves. A widely used, universally applicable solution for the analysis of these waves is the Finite-Difference Time-Domain (FDTD) method. This method requires a massive amount of floating-point arithmetic to implement, leading to simulations that can take days or weeks to complete. To reduce these runtimes, and shorten design cycles, many different approaches have been used. To accelerate the FDTD method, some have used supercomputers and clusters. While effective, these solutions are expensive to build and maintain. Although commodity hardware has lowered hardware costs for these solutions, continuous costs such as housing, power, and cooling still remain. Others have sought the use of special-purpose hardware, such as ASICs, FPGAs, and DSPs. These solutions provide speedups that match the traditionally larger systems, yet also suffer from high costs due to demanding research and development. Clearly, a solution with the cost effectiveness of commodity hardware, manageability of small systems, and performance that exceeds existing solutions is desired. To this end, my research employs modern commodity graphics processors to implement an accelerated FDTD solver that is 50x faster, scalable to numerous cards, and considerably cheaper ($600 per card) than existing solutions. With these capabilities, this solver enables rapid iterative simulations required for the design of electronic devices in modern engineering.
Download or read book The Finite Difference Time Domain Method for Electromagnetics written by Karl S. Kunz and published by Routledge. This book was released on 2018-05-04 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Finite-Difference Time-domain (FDTD) method allows you to compute electromagnetic interaction for complex problem geometries with ease. The simplicity of the approach coupled with its far-reaching usefulness, create the powerful, popular method presented in The Finite Difference Time Domain Method for Electromagnetics. This volume offers timeless applications and formulations you can use to treat virtually any material type and geometry. The Finite Difference Time Domain Method for Electromagnetics explores the mathematical foundations of FDTD, including stability, outer radiation boundary conditions, and different coordinate systems. It covers derivations of FDTD for use with PEC, metal, lossy dielectrics, gyrotropic materials, and anisotropic materials. A number of applications are completely worked out with numerous figures to illustrate the results. It also includes a printed FORTRAN 77 version of the code that implements the technique in three dimensions for lossy dielectric materials. There are many methods for analyzing electromagnetic interactions for problem geometries. With The Finite Difference Time Domain Method for Electromagnetics, you will learn the simplest, most useful of these methods, from the basics through to the practical applications.
Download or read book Electromagnetic Simulation Using the FDTD Method with Python written by Jennifer E. Houle and published by John Wiley & Sons. This book was released on 2020-01-15 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides an introduction to the Finite Difference Time Domain method and shows how Python code can be used to implement various simulations This book allows engineering students and practicing engineers to learn the finite-difference time-domain (FDTD) method and properly apply it toward their electromagnetic simulation projects. Each chapter contains a concise explanation of an essential concept and instruction on its implementation into computer code. Included projects increase in complexity, ranging from simulations in free space to propagation in dispersive media. This third edition utilizes the Python programming language, which is becoming the preferred computer language for the engineering and scientific community. Electromagnetic Simulation Using the FDTD Method with Python, Third Edition is written with the goal of enabling readers to learn the FDTD method in a manageable amount of time. Some basic applications of signal processing theory are explained to enhance the effectiveness of FDTD simulation. Topics covered in include one-dimensional simulation with the FDTD method, two-dimensional simulation, and three-dimensional simulation. The book also covers advanced Python features and deep regional hyperthermia treatment planning. Electromagnetic Simulation Using the FDTD Method with Python: Guides the reader from basic programs to complex, three-dimensional programs in a tutorial fashion Includes a rewritten fifth chapter that illustrates the most interesting applications in FDTD and the advanced graphics techniques of Python Covers peripheral topics pertinent to time-domain simulation, such as Z-transforms and the discrete Fourier transform Provides Python simulation programs on an accompanying website An ideal book for senior undergraduate engineering students studying FDTD, Electromagnetic Simulation Using the FDTD Method with Python will also benefit scientists and engineers interested in the subject.
Download or read book H P and T refinement Strategies for the Finite difference time domain FDTD Method Developed Via Finite element FE Principles written by Ryan Austin Chilton and published by . This book was released on 2008 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: In this research, several improvements to the FDTD method are implemented by recasting it as a mixed Whitney-form finite-element method. This step permits the application of numerous advancements developed by the finite element community, such as non-uniform nested refinement schemes and higher order Nedelec-type basis functions. The first improvement is h-refinement, a method for abutting disjoint grids with distinct edge lengths (commonly referred to as "subgridding"). This overcomes one of the major disadvantages of the FDTD method: its restriction to uniform sample resolution regardless of physical local feature size. With this improvement, field singularities can be modeled with greater fidelity and stair-casing error can be reduced for geometries with curved features for local instead of global cost. Another improvement explored herein is the development of higher order accurate FDTD-like methods, by replacing collections of Yee cells with "Lobatto cells" which support mixed order Lagrange polynomial finite elements. Unlike traditional high order finite-difference schemes, the proposed Lobatto cell maintains high order accuracy at material interfaces and metal wall boundaries. These methods have superior geometrical fidelity and dispersion characteristics over the typical Yee method. Both the subgridding and high order improvements inherit the Yee's schemes famous robustness by construction: they are provably energy conserving, electric charge conserving and magnetic charge conserving. When integrated in time with the leapfrog method, both can also be proven conditionally stable for some nonzero timestep. Additional work will present an algorithm for interfacing grids with completely discontinuous basis functions, and investigate more exotic multirate leapfrogging schemes. Both of these concepts are crucial for general adaptive hp-refinement, where abutting grids might be refined in unpredictable ways. All methods are verified on canonical problems in electromagnetism and compared to existing alternative algorithms. The ultimate aim, though beyond the scope of this work, is to develop automatic adaptive refinement capability for the FDTD method. This work lays the foundation for those developments.
Download or read book Development of a Time Domain Hybrid Finite Difference finite Element Method for Solutions to Maxwell s Equations in Anisotropic Media written by Christopher W. Kung and published by . This book was released on 2009 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: The finite difference time domain (FDTD) and finite element numerical methods are two popular time domain computational methods in electromagnetics, but the two numerical methods have certain tradeoffs. FDTD is a fast explicit method with second order accuracy, but the method's accuracy is reduced when analyzing structures that are not conforming to a Cartesian grid. The finite element method on the other hand excels at examining domains with non-conforming structures, but its method of solution usually requires a matrix inverse operation, which is computationally expensive. Fortunately, research in hybrid methods have shown that the FDTD method for isotropic materials can be viewed upon as a subset of finite elements, and from this viewpoint, the FDTD and finite element method in the time domain can be hybridized together to the advantages of both methods while mitigating the disadvantages.
Download or read book FDTD Modeling of Metamaterials Theory and Applications written by Yang Hao and published by Artech House. This book was released on 2008-10-01 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: Master powerful new modeling tools that let you quantify and represent metamaterial properties with never-before accuracy. This first-of-its-kind book brings you up to speed on breakthrough finite-difference time-domain techniques for modeling metamaterial characteristics and behaviors in electromagnetic systems. This practical resource comes complete with sample FDTD scripts to help you pave the way to new metamaterial applications and advances in antenna, microwave, and optics engineering. You get in-depth coverage of state-of-the-art FDTD modeling techniques and applications for electromagnetic bandgap (EBG) structures, left-handed metamaterials (LHMs), wire medium, metamaterials for optics, and other practical metamaterials. You find steps for computing dispersion diagrams, dealing with material dispersion properties, and verifying the left-handedness. Moreover, this comprehensive volume offers guidance for handling the unique properties possessed by metamaterials, including how to define material parameters, characterize the interface of metamaterial slabs, and quantify their spatial as well as frequency dispersion characteristics. The book also presents conformal and dispersive FDTD modeling of electromagnetic cloaks, perfect lens, and plasmonic waveguides, as well as other novel antenna, microwave, and optical applications. Over 190 illustrations support key topics throughout the book.
Download or read book Electromagnetic Simulation Using the FDTD Method written by Dennis M. Sullivan and published by John Wiley & Sons. This book was released on 2013-05-17 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: A straightforward, easy-to-read introduction to the finite-difference time-domain (FDTD) method Finite-difference time-domain (FDTD) is one of the primary computational electrodynamics modeling techniques available. Since it is a time-domain method, FDTD solutions can cover a wide frequency range with a single simulation run and treat nonlinear material properties in a natural way. Written in a tutorial fashion, starting with the simplest programs and guiding the reader up from one-dimensional to the more complex, three-dimensional programs, this book provides a simple, yet comprehensive introduction to the most widely used method for electromagnetic simulation. This fully updated edition presents many new applications, including the FDTD method being used in the design and analysis of highly resonant radio frequency (RF) coils often used for MRI. Each chapter contains a concise explanation of an essential concept and instruction on its implementation into computer code. Projects that increase in complexity are included, ranging from simulations in free space to propagation in dispersive media. Additionally, the text offers downloadable MATLAB and C programming languages from the book support site (http://booksupport.wiley.com). Simple to read and classroom-tested, Electromagnetic Simulation Using the FDTD Method is a useful reference for practicing engineers as well as undergraduate and graduate engineering students.
Download or read book Electromagnetic Simulation Techniques Based on the FDTD Method written by W. Yu and published by John Wiley & Sons. This book was released on 2009-09-15 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bridges the gap between FDTD theory and the implementation of practical simulation techniques This is the first publication that guides readers step by step through the implementation of electromagnetic simulation techniques based on FDTD methods. These simulation techniques serve as an essential bridge between FDTD methods and their applications. Moreover, the book helps readers better understand the underlying logic of FDTD methods so that they can design FDTD projects using either commercial electromagnetic software packages or their own codes in order to solve practical engineering problems. The book begins with two chapters that introduce the basic concepts of the 3-D Cartesian FDTD method, followed by discussions of advanced FDTD methods such as conformal techniques, dispersive media, circuit elements, and near-to-far field transformation. Next, the book: Presents basic concepts of parallel processing techniques and systems, including parallel FDTD techniques and systems Explores simulation techniques based on FDTD methods Illustrates practical simulation techniques using engineering applications Introduces advanced simulation techniques Each chapter concludes with references to help readers investigate particular topics in greater depth. Each chapter also includes problem sets that challenge readers to put their new FDTD and simulation skills into practice. By bridging the gap between FDTD theory and practical simulation techniques, this publication is an invaluable guide for students and engineers who need to solve a wide range of design problems in RF, antenna, and microwave engineering.
