Multiresolution Time Domain Scheme for Electromagnetic Engineering

Multiresolution Time Domain Scheme for Electromagnetic Engineering PDF

Author: Yinchao Chen

Publisher: Wiley-Interscience

Published: 2005-01-28

Total Pages: 394

ISBN-13:

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The rapid development of computer techniques and information technologies in recent decades has fueled the need for efficient tools for electromagnetic modeling of millimeter-wave integrated circuits, high-speed and high-density VLSI circuits, including computer chips and wireless computer applications.

MRTD (Multi Resolution Time Domain) Method in Electromagnetics

MRTD (Multi Resolution Time Domain) Method in Electromagnetics PDF

Author: Nathan Bushyager

Publisher: Springer Nature

Published: 2022-05-31

Total Pages: 108

ISBN-13: 3031016874

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This book presents a method that allows the use of multiresolution principles in a time domain electromagnetic modeling technique that is applicable to general structures. The multiresolution time-domain (MRTD) technique, as it is often called, is presented for general basis functions. Additional techniques that are presented here allow the modeling of complex structures using a subcell representation that permits the modeling discrete electromagnetic effects at individual equivalent grid points. This is accomplished by transforming the application of the effects at individual points in the grid into the wavelet domain. In this work, the MRTD technique is derived for a general wavelet basis using a relatively compact vector notation that both makes the technique easier to understand and illustrates the differences between MRTD basis functions. In addition, techniques such as the uniaxial perfectly matched layer (UPML) for arbitrary wavelet resolution and non-uniform gridding are presented. Using these techniques, any structure that can be simulated in Yee-FDTD can be modeled with in MRTD.

Mrtd ( Multi Resolution Time Domain ) Method In Electomagnetics

Mrtd ( Multi Resolution Time Domain ) Method In Electomagnetics PDF

Author: Nathan Adam Bushyager

Publisher:

Published: 2005

Total Pages: 108

ISBN-13: 9781598293593

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"This book presents a method that allows the use of multiresolution principles in a time domain electromagnetic modeling technique that is applicable to general structures. The multiresolution time-domain (MRTD) technique, as it is often called, is presented for general basis functions. Additional techniques that are presented here allow the modeling of complex structures using a subcell representation that permits the modeling discrete electromagnetic effects at individual equivalent grid points. This is accomplished by transforming the application of the effects at individual points in the grid into the wavelet domain. In this work, the MRTD technique is derived for a general wavelet basis using a relatively compact vector notation that both makes the technique easier to understand and illustrates the differences between MRTD basis functions. In addition, techniques such as the uniaxial perfectly matched layer (UPML) for arbitrary wavelet resolution and non-uniform gridding are presented. Using these techniques, any structure that can be simulated in Yee-FDTD can be modeled with in MRTD."--Publisher's website.

Multiresolution Frequency Domain Technique for Electromagnetics

Multiresolution Frequency Domain Technique for Electromagnetics PDF

Author: Mesut Gökten

Publisher: Springer Nature

Published: 2022-06-01

Total Pages: 124

ISBN-13: 3031017145

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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

Multiresolution Frequency Domain Technique for Electromagnetics

Multiresolution Frequency Domain Technique for Electromagnetics PDF

Author: Mesut Gokten

Publisher: Morgan & Claypool Publishers

Published: 2012

Total Pages: 137

ISBN-13: 1627050159

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Presents a general frequency domain numerical method similar to the finite difference frequency domain (FDFD) technique. 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.

Adaptive Mesh Refinement in Time-Domain Numerical Electromagnetics

Adaptive Mesh Refinement in Time-Domain Numerical Electromagnetics PDF

Author: Costas Sarris

Publisher: Springer Nature

Published: 2022-05-31

Total Pages: 135

ISBN-13: 3031016955

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This monograph is a comprehensive presentation of state-of-the-art methodologies that can dramatically enhance the efficiency of the finite-difference time-domain (FDTD) technique, the most popular electromagnetic field solver of the time-domain form of Maxwell's equations. These methodologies are aimed at optimally tailoring the computational resources needed for the wideband simulation of microwave and optical structures to their geometry, as well as the nature of the field solutions they support. That is achieved by the development of robust “adaptive meshing” approaches, which amount to varying the total number of unknown field quantities in the course of the simulation to adapt to temporally or spatially localized field features. While mesh adaptation is an extremely desirable FDTD feature, known to reduce simulation times by orders of magnitude, it is not always robust. The specific techniques presented in this book are characterized by stability and robustness. Therefore, they are excellent computer analysis and design (CAD) tools. The book starts by introducing the FDTD technique, along with challenges related to its application to the analysis of real-life microwave and optical structures. It then proceeds to developing an adaptive mesh refinement method based on the use of multiresolution analysis and, more specifically, the Haar wavelet basis. Furthermore, a new method to embed a moving adaptive mesh in FDTD, the dynamically adaptive mesh refinement (AMR) FDTD technique, is introduced and explained in detail. To highlight the properties of the theoretical tools developed in the text, a number of applications are presented, including: Microwave integrated circuits (microstrip filters, couplers, spiral inductors, cavities). Optical power splitters, Y-junctions, and couplers Optical ring resonators Nonlinear optical waveguides. Building on first principles of time-domain electromagnetic simulations, this book presents advanced concepts and cutting-edge modeling techniques in an intuitive way for programmers, engineers, and graduate students. It is designed to provide a solid reference for highly efficient time-domain solvers, employed in a wide range of exciting applications in microwave/millimeter-wave and optical engineering.

Theory and Computation of Electromagnetic Fields

Theory and Computation of Electromagnetic Fields PDF

Author: Jian-Ming Jin

Publisher: John Wiley & Sons

Published: 2015-08-26

Total Pages: 744

ISBN-13: 1119108098

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Reviews the fundamental concepts behind the theory and computation of electromagnetic fields The book is divided in two parts. The first part covers both fundamental theories (such as vector analysis, Maxwell’s equations, boundary condition, and transmission line theory) and advanced topics (such as wave transformation, addition theorems, and fields in layered media) in order to benefit students at all levels. The second part of the book covers the major computational methods for numerical analysis of electromagnetic fields for engineering applications. These methods include the three fundamental approaches for numerical analysis of electromagnetic fields: the finite difference method (the finite difference time-domain method in particular), the finite element method, and the integral equation-based moment method. The second part also examines fast algorithms for solving integral equations and hybrid techniques that combine different numerical methods to seek more efficient solutions of complicated electromagnetic problems. Theory and Computation of Electromagnetic Fields, Second Edition: Provides the foundation necessary for graduate students to learn and understand more advanced topics Discusses electromagnetic analysis in rectangular, cylindrical and spherical coordinates Covers computational electromagnetics in both frequency and time domains Includes new and updated homework problems and examples Theory and Computation of Electromagnetic Fields, Second Edition is written for advanced undergraduate and graduate level electrical engineering students. This book can also be used as a reference for professional engineers interested in learning about analysis and computation skills.

Advanced FDTD Methods

Advanced FDTD Methods PDF

Author: Wenhua Yu

Publisher: Artech House

Published: 2011

Total Pages: 267

ISBN-13: 1608071774

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Advanced FDTD Methods: Parallelization, Acceleration, and Engineering Applications -- Contents -- Preface -- Chapter 1 Computational Electromagnetic Methods -- 1.1 FDTD METHOD -- 1.1.1 FDTD Update Equations -- 1.1.2 Stability Analysis -- 1.1.3 Boundary Conditions -- 1.2 METHOD OF MOMENTS -- 1.3 FINITE ELEMENT METHOD -- 1.3.1 Scalar Formulation -- 1.3.2 Vector Formulation -- 1.4 FINITE INTEGRATION TECHNIQUE -- References -- Chapter 2 FDTD Optimization and Acceleration -- 2.1 INTRODUCTION TO CPU ARCHITECTURE -- 2.2 SSE INSTRUCTION SET -- 2.3 CACHE OPTIMIZATION -- 2.4 TASK PARALLELIZATION AND BUNDLING -- 2.5 PREFETCH -- 2.6 READING OR WRITING COMBINATION -- 2.7 MATERIAL LOOP-UP TABLE -- 2.8 NUMA OPTIMIZATION -- 2.9 IMPLEMENTATION OF VALU FDTD METHOD -- References -- Chapter 3 Parallel FDTD Method and Systems -- 3.1 PARALLEL FDTD METHOD -- 3.2 OPENMP FOR MULTICORE PROCESSORS -- 3.3 MPI TECHNIQUE -- 3.4 NETWORK CARD, SWITCH, AND CABLE -- References -- Chapter 4 Electromagnetic Simulation Techniques -- 4.1 MESH GENERATION TECHNIQUES -- 4.2 BASIC SIMULATION PROCEDURE -- 4.3 DIPOLE ANTENNA -- 4.4 VIVALDI ANTENNA SIMULATION -- 4.5 BANDED MICROWAVE CONNECTOR -- 4.6 PARALLEL LINES -- 4.7 TWO-PORT ANTENNA -- 4.8 SLOT COUPLING -- 4.9 MICROWAVE FILTER -- 4.10 OPTIMIZATION AND PARAMETER SCAN -- 4.11 PERIODIC STRUCTURE SIMULATION -- 4.12 GROUND PENETRATING RADAR MODEL -- 4.13 MICROWAVE CONNECTOR -- References -- Chapter 5 EM Simulation Software Benchmarks -- 5.1 BASIC STEPS IN EM SIMULATION -- 5.1.1 HFSS -- 5.1.2 CST -- 5.1.3 FEKO -- 5.1.4 GEMS -- 5.2 HARDWARE PLATFORMS -- 5.3 PATCH ANTENNA -- 5.4 VIVALDI ANTENNA -- 5.5 SCATTERING OF DIELECTRIC SPHERE -- 5.6 CELL PHONE ANTENNA -- 5.7 ELECTROMAGNETIC BANDGAP STRUCTURE -- 5.8 STANDARD SAR TEST -- 5.9 WAVEGUIDE FILTER -- References -- Chapter 6 Large Multiscale Problem Solving -- 6.1 RADIO FREQUENCY PROTECTION.

Adaptive Mesh Refinement for Time-domain Numerical Electromagnetics

Adaptive Mesh Refinement for Time-domain Numerical Electromagnetics PDF

Author: Costas D. Sarris

Publisher: Morgan & Claypool Publishers

Published: 2007

Total Pages: 154

ISBN-13: 1598290789

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Therefore, they are excellent computer analysis and design (CAD) tools. The book starts by introducing the FDTD technique, along with challenges related to its application to the analysis of real-life microwave and optical structures. It then proceeds to developing an adaptive mesh refinement method based on the use of multiresolution analysis and, more specifically, the Haar wavelet basis. Furthermore, a new method to embed a moving adaptive mesh in FDTD, the dynamically adaptive mesh refinement (AMR) FDTD technique, is introduced and explained in detail. To highlight the properties of the theoretical tools developed in the text, a number of applications are presented, including: Microwave integrated circuits (microstrip filters, couplers, spiral inductors, cavities); Optical power splitters, Y-junctions, and couplers; Optical ring resonators; Nonlinear optical waveguides.

Parallel Solution of Integral Equation-Based EM Problems in the Frequency Domain

Parallel Solution of Integral Equation-Based EM Problems in the Frequency Domain PDF

Author: Y. Zhang

Publisher: John Wiley & Sons

Published: 2009-06-29

Total Pages: 367

ISBN-13: 0470495081

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A step-by-step guide to parallelizing cem codes The future of computational electromagnetics is changing drastically as the new generation of computer chips evolves from single-core to multi-core. The burden now falls on software programmers to revamp existing codes and add new functionality to enable computational codes to run efficiently on this new generation of multi-core CPUs. In this book, you'll learn everything you need to know to deal with multi-core advances in chip design by employing highly efficient parallel electromagnetic code. Focusing only on the Method of Moments (MoM), the book covers: In-Core and Out-of-Core LU Factorization for Solving a Matrix Equation A Parallel MoM Code Using RWG Basis Functions and ScaLAPACK-Based In-Core and Out-of-Core Solvers A Parallel MoM Code Using Higher-Order Basis Functions and ScaLAPACK-Based In-Core and Out-of-Core Solvers Turning the Performance of a Parallel Integral Equation Solver Refinement of the Solution Using the Conjugate Gradient Method A Parallel MoM Code Using Higher-Order Basis Functions and Plapack-Based In-Core and Out-of-Core Solvers Applications of the Parallel Frequency Domain Integral Equation Solver Appendices are provided with detailed information on the various computer platforms used for computation; a demo shows you how to compile ScaLAPACK and PLAPACK on the Windows® operating system; and a demo parallel source code is available to solve the 2D electromagnetic scattering problems. Parallel Solution of Integral Equation-Based EM Problems in the Frequency Domain is indispensable reading for computational code designers, computational electromagnetics researchers, graduate students, and anyone working with CEM software.