An Introduction To The Locally Corrected Nyström Method

Author : Andrew F. Peterson,Malcolm M. Bibby
Publisher : Morgan & Claypool Publishers
Page : 116 pages
File Size : 43,7 Mb
Release : 2010
Category : Computers
ISBN : 9781608452996

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An Introduction to the Locally-corrected Nyström Method by Andrew F. Peterson,Malcolm M. Bibby Pdf

This lecture provides a tutorial introduction to the Nyström and locally-corrected Nyström methods when used for the numerical solutions of the common integral equations of two-dimensional electromagnetic fields. These equations exhibit kernel singularities that complicate their numerical solution. Classical and generalized Gaussian quadrature rules are reviewed. The traditional Nyström method is summarized, and applied to the magnetic field equation for illustration. To obtain high order accuracy in the numerical results, the locally-corrected Nyström method is developed and applied to both the electric field and magnetic field equations. In the presence of target edges, where current or charge density singularities occur, the method must be extended through the use of appropriate singular basis functions and special quadrature rules. This extension is also described. Table of Contents: Introduction / Classical Quadrature Rules / The Classical Nyström Method / The Locally-Corrected Nyström Method / Generalized Gaussian Quadrature / LCN Treatment of Edge Singularities

Author : Andrew Peterson,Malcolm Bibby
Publisher : Springer Nature
Page : 103 pages
File Size : 42,5 Mb
Release : 2022-05-31
Category : Technology & Engineering
ISBN : 9783031017100

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An Introduction to the Locally Corrected Nystrom Method by Andrew Peterson,Malcolm Bibby Pdf

This lecture provides a tutorial introduction to the Nyström and locally-corrected Nyström methods when used for the numerical solutions of the common integral equations of two-dimensional electromagnetic fields. These equations exhibit kernel singularities that complicate their numerical solution. Classical and generalized Gaussian quadrature rules are reviewed. The traditional Nyström method is summarized, and applied to the magnetic field equation for illustration. To obtain high order accuracy in the numerical results, the locally-corrected Nyström method is developed and applied to both the electric field and magnetic field equations. In the presence of target edges, where current or charge density singularities occur, the method must be extended through the use of appropriate singular basis functions and special quadrature rules. This extension is also described. Table of Contents: Introduction / Classical Quadrature Rules / The Classical Nyström Method / The Locally-Corrected Nyström Method / Generalized Gaussian Quadrature / LCN Treatment of Edge Singularities

Author : Raj Mittra
Publisher : Springer Science & Business Media
Page : 704 pages
File Size : 52,8 Mb
Release : 2013-08-20
Category : Technology & Engineering
ISBN : 9781461443827

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Computational Electromagnetics by Raj Mittra Pdf

Emerging Topics in Computational Electromagnetics in Computational Electromagnetics presents advances in Computational Electromagnetics. This book is designed to fill the existing gap in current CEM literature that only cover the conventional numerical techniques for solving traditional EM problems. The book examines new algorithms, and applications of these algorithms for solving problems of current interest that are not readily amenable to efficient treatment by using the existing techniques. The authors discuss solution techniques for problems arising in nanotechnology, bioEM, metamaterials, as well as multiscale problems. They present techniques that utilize recent advances in computer technology, such as parallel architectures, and the increasing need to solve large and complex problems in a time efficient manner by using highly scalable algorithms.

Author : Wenhua Yu,Wenxing Li,Atef Elsherbeni,Yahya Rahmat-Samii
Publisher : Artech House
Page : 600 pages
File Size : 46,8 Mb
Release : 2015-03-01
Category : Technology & Engineering
ISBN : 9781608078974

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Advanced Computational Electromagnetic Methods by Wenhua Yu,Wenxing Li,Atef Elsherbeni,Yahya Rahmat-Samii Pdf

This new resource covers the latest developments in computational electromagnetic methods, with emphasis on cutting-edge applications. This book is designed to extend existing literature to the latest development in computational electromagnetic methods, which are of interest to readers in both academic and industrial areas. The topics include advanced techniques in MoM, FEM and FDTD, spectral domain method, GPU and Phi hardware acceleration, metamaterials, frequency and time domain integral equations, and statistics methods in bio-electromagnetics.

Author : Stephen Gedney
Publisher : Springer Nature
Page : 242 pages
File Size : 48,9 Mb
Release : 2022-05-31
Category : Technology & Engineering
ISBN : 9783031017124

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Introduction to the Finite-Difference Time-Domain (FDTD) Method for Electromagnetics by Stephen Gedney Pdf

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

Author : Andrew Peterson,Malcolm Bibby
Publisher : Springer Nature
Page : 123 pages
File Size : 50,9 Mb
Release : 2022-06-01
Category : Technology & Engineering
ISBN : 9783031017179

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Accurate Computation of Mathieu Functions by Andrew Peterson,Malcolm Bibby Pdf

This lecture presents a modern approach for the computation of Mathieu functions. These functions find application in boundary value analysis such as electromagnetic scattering from elliptic cylinders and flat strips, as well as the analogous acoustic and optical problems, and many other applications in science and engineering. The authors review the traditional approach used for these functions, show its limitations, and provide an alternative "tuned" approach enabling improved accuracy and convergence. The performance of this approach is investigated for a wide range of parameters and machine precision. Examples from electromagnetic scattering are provided for illustration and to show the convergence of the typical series that employ Mathieu functions for boundary value analysis.

Author : Erdogan Alkan,Veysel Demir,Atef Elsherbeni,Ercument Arvas
Publisher : Springer Nature
Page : 119 pages
File Size : 43,6 Mb
Release : 2022-05-31
Category : Technology & Engineering
ISBN : 9783031017155

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Double-Grid Finite-Difference Frequency-Domain (DG-FDFD) Method for Scattering from Chiral Objects by Erdogan Alkan,Veysel Demir,Atef Elsherbeni,Ercument Arvas Pdf

This book presents the application of the overlapping grids approach to solve chiral material problems using the FDFD method. Due to the two grids being used in the technique, we will name this method as Double-Grid Finite Difference Frequency-Domain (DG-FDFD) method. As a result of this new approach the electric and magnetic field components are defined at every node in the computation space. Thus, there is no need to perform averaging during the calculations as in the aforementioned FDFD technique [16]. We formulate general 3D frequency-domain numerical methods based on double-grid (DG-FDFD) approach for general bianisotropic materials. The validity of the derived formulations for different scattering problems has been shown by comparing the obtained results to exact and other solutions obtained using different numerical methods. Table of Contents: Introduction / Chiral Media / Basics of the Finite-Difference Frequency-Domain (FDFD) Method / The Double-Grid Finite-Difference Frequency-Domain (DG-FDFD) Method for Bianisotropic Medium / Scattering FromThree Dimensional Chiral Structures / ImprovingTime and Memory Efficiencies of FDFD Methods / Conclusions / Appendix A: Notations / Appendix B: Near to Far FieldTransformation

Author : George Fikioris,Ioannis Tastsoglou,Odysseas Bakas
Publisher : Springer Nature
Page : 187 pages
File Size : 50,6 Mb
Release : 2022-06-01
Category : Technology & Engineering
ISBN : 9783031017162

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Selected Asymptotic Methods with Applications to Electromagnetics and Antennas by George Fikioris,Ioannis Tastsoglou,Odysseas Bakas Pdf

This book describes and illustrates the application of several asymptotic methods that have proved useful in the authors' research in electromagnetics and antennas. We first define asymptotic approximations and expansions and explain these concepts in detail. We then develop certain prerequisites from complex analysis such as power series, multivalued functions (including the concepts of branch points and branch cuts), and the all-important gamma function. Of particular importance is the idea of analytic continuation (of functions of a single complex variable); our discussions here include some recent, direct applications to antennas and computational electromagnetics. Then, specific methods are discussed. These include integration by parts and the Riemann-Lebesgue lemma, the use of contour integration in conjunction with other methods, techniques related to Laplace's method and Watson's lemma, the asymptotic behavior of certain Fourier sine and cosine transforms, and the Poisson summation formula (including its version for finite sums). Often underutilized in the literature are asymptotic techniques based on the Mellin transform; our treatment of this subject complements the techniques presented in our recent Synthesis Lecture on the exact (not asymptotic) evaluation of integrals.

Author : Xuan Hui Wu,Ahmed Kishk
Publisher : Springer Nature
Page : 82 pages
File Size : 49,9 Mb
Release : 2022-06-01
Category : Technology & Engineering
ISBN : 9783031017117

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Analysis and Design of Substrate Integrated Waveguide Using Efficient 2D Hybrid Method by Xuan Hui Wu,Ahmed Kishk Pdf

Substrate integrated waveguide (SIW) is a new type of transmission line. It implements a waveguide on a piece of printed circuit board by emulating the side walls of the waveguide using two rows of metal posts. It inherits the merits both from the microstrip for compact size and easy integration, and from the waveguide for low radiation loss, and thus opens another door to design efficient microwave circuits and antennas at a low cost. This book presents a two-dimensional fullwave analysis method to investigate an SIW circuit composed of metal and dielectric posts. It combines the cylindrical eigenfunction expansion and the method of moments to avoid geometrical descritization of the posts. The method is presented step-by-step, with all the necessary formulations provided for a practitioner who wants to implement this method by himself. This book covers the SIW circuit printed on either homogeneous or inhomogeneous substrate, the microstrip-to-SIW transition and the speed-up technique for the simulation of symmetrical SIW circuits. Different types of SIW circuits are shown and simulated using the proposed method. In addition, several slot antennas and horn antennas fabricated using the SIW technology are also given. Table of Contents: Introduction / SIW Circuits Composed of Metallic Posts / SIW Circuits with Dielectric Posts / Even-Odd Mode Analysis of a Symmetrical Circuit / Microstrip to SIW Transition and Half Mode SIW / SIW Antennas

Author : Mesut Gökten,Atef Elsherbeni,Ercument Arvas
Publisher : Springer Nature
Page : 124 pages
File Size : 44,6 Mb
Release : 2022-06-01
Category : Technology & Engineering
ISBN : 9783031017148

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Multiresolution Frequency Domain Technique for Electromagnetics by Mesut Gökten,Atef Elsherbeni,Ercument Arvas Pdf

In this book, a general frequency domain numerical method similar to the finite difference frequency domain (FDFD) technique is presented. The proposed method, called the multiresolution frequency domain (MRFD) technique, is based on orthogonal Battle-Lemarie and biorthogonal Cohen-Daubechies-Feauveau (CDF) wavelets. The objective of developing this new technique is to achieve a frequency domain scheme which exhibits improved computational efficiency figures compared to the traditional FDFD method: reduced memory and simulation time requirements while retaining numerical accuracy. The newly introduced MRFD scheme is successfully applied to the analysis of a number of electromagnetic problems, such as computation of resonance frequencies of one and three dimensional resonators, analysis of propagation characteristics of general guided wave structures, and electromagnetic scattering from two dimensional dielectric objects. The efficiency characteristics of MRFD techniques based on different wavelets are compared to each other and that of the FDFD method. Results indicate that the MRFD techniques provide substantial savings in terms of execution time and memory requirements, compared to the traditional FDFD method. Table of Contents: Introduction / Basics of the Finite Difference Method and Multiresolution Analysis / Formulation of the Multiresolution Frequency Domain Schemes / Application of MRFD Formulation to Closed Space Structures / Application of MRFD Formulation to Open Space Structures / A Multiresolution Frequency Domain Formulation for Inhomogeneous Media / Conclusion

Author : Khaled ElMahgoub,Fan Yang,Atef Elsherbeni
Publisher : Springer Nature
Page : 122 pages
File Size : 47,5 Mb
Release : 2022-06-01
Category : Technology & Engineering
ISBN : 9783031017131

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Scattering Analysis of Periodic Structures using Finite-Difference Time-Domain Method by Khaled ElMahgoub,Fan Yang,Atef Elsherbeni Pdf

Periodic structures are of great importance in electromagnetics due to their wide range of applications such as frequency selective surfaces (FSS), electromagnetic band gap (EBG) structures, periodic absorbers, meta-materials, and many others. The aim of this book is to develop efficient computational algorithms to analyze the scattering properties of various electromagnetic periodic structures using the finite-difference time-domain periodic boundary condition (FDTD/PBC) method. A new FDTD/PBC-based algorithm is introduced to analyze general skewed grid periodic structures while another algorithm is developed to analyze dispersive periodic structures. Moreover, the proposed algorithms are successfully integrated with the generalized scattering matrix (GSM) technique, identified as the hybrid FDTD-GSM algorithm, to efficiently analyze multilayer periodic structures. All the developed algorithms are easy to implement and are efficient in both computational time and memory usage. These algorithms are validated through several numerical test cases. The computational methods presented in this book will help scientists and engineers to investigate and design novel periodic structures and to explore other research frontiers in electromagnetics. Table of Contents: Introduction / FDTD Method and Periodic Boundary Conditions / Skewed Grid Periodic Structures / Dispersive Periodic Structures / Multilayered Periodic Structures / Conclusions

Author : Mei Song Tong,Weng Cho Chew
Publisher : John Wiley & Sons
Page : 528 pages
File Size : 48,8 Mb
Release : 2020-07-06
Category : Science
ISBN : 9781119284871

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The Nystrom Method in Electromagnetics by Mei Song Tong,Weng Cho Chew Pdf

A comprehensive, step-by-step reference to the Nyström Method for solving Electromagnetic problems using integral equations Computational electromagnetics studies the numerical methods or techniques that solve electromagnetic problems by computer programming. Currently, there are mainly three numerical methods for electromagnetic problems: the finite-difference time-domain (FDTD), finite element method (FEM), and integral equation methods (IEMs). In the IEMs, the method of moments (MoM) is the most widely used method, but much attention is being paid to the Nyström method as another IEM, because it possesses some unique merits which the MoM lacks. This book focuses on that method—providing information on everything that students and professionals working in the field need to know. Written by the top researchers in electromagnetics, this complete reference book is a consolidation of advances made in the use of the Nyström method for solving electromagnetic integral equations. It begins by introducing the fundamentals of the electromagnetic theory and computational electromagnetics, before proceeding to illustrate the advantages unique to the Nyström method through rigorous worked out examples and equations. Key topics include quadrature rules, singularity treatment techniques, applications to conducting and penetrable media, multiphysics electromagnetic problems, time-domain integral equations, inverse scattering problems and incorporation with multilevel fast multiple algorithm. Systematically introduces the fundamental principles, equations, and advantages of the Nyström method for solving electromagnetic problems Features the unique benefits of using the Nyström method through numerical comparisons with other numerical and analytical methods Covers a broad range of application examples that will point the way for future research The Nystrom Method in Electromagnetics is ideal for graduate students, senior undergraduates, and researchers studying engineering electromagnetics, computational methods, and applied mathematics. Practicing engineers and other industry professionals working in engineering electromagnetics and engineering mathematics will also find it to be incredibly helpful.

Author : Anonim
Publisher : Unknown
Page : 808 pages
File Size : 40,7 Mb
Release : 2007
Category : Electronics
ISBN : CORNELL:31924089708972

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Chinese Journal of Electronics by Anonim Pdf

Author : Andrew Peterson,Erdoğan Alkan,Mesut Gokten,Xuan Hui Wu,Ahmed Kishk,Atef Elsherbeni,Malcolm Bibby,Veysel Demir,Ercument Arvas
Publisher : Unknown
Page : 0 pages
File Size : 50,9 Mb
Release : 2010
Category : Electrical engineering
ISBN : 8303101714

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Double-Grid Finite-Difference Frequency-Domain (DG-FDFD) Method for Scattering from Chiral Objects by Andrew Peterson,Erdoğan Alkan,Mesut Gokten,Xuan Hui Wu,Ahmed Kishk,Atef Elsherbeni,Malcolm Bibby,Veysel Demir,Ercument Arvas Pdf

This lecture provides a tutorial introduction to the Nyström and locally-corrected Nyström methods when used for the numerical solutions of the common integral equations of two-dimensional electromagnetic fields. These equations exhibit kernel singularities that complicate their numerical solution. Classical and generalized Gaussian quadrature rules are reviewed. The traditional Nyström method is summarized, and applied to the magnetic field equation for illustration. To obtain high order accuracy in the numerical results, the locally-corrected Nyström method is developed and applied to both the electric field and magnetic field equations. In the presence of target edges, where current or charge density singularities occur, the method must be extended through the use of appropriate singular basis functions and special quadrature rules. This extension is also described. Table of Contents: Introduction / Classical Quadrature Rules / The Classical Nyström Method / The Locally-Corrected Nyström Method / Generalized Gaussian Quadrature / LCN Treatment of Edge Singularities.

Author : IEEE Antennas and Propagation Society
Publisher : Institute of Electrical & Electronics Engineers(IEEE)
Page : 642 pages
File Size : 46,5 Mb
Release : 1994
Category : Technology & Engineering
ISBN : UVA:X004183766

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IEEE Antennas and Propagation Society International Symposium 1997 by IEEE Antennas and Propagation Society Pdf