Advanced Computational Electromagnetic Methods and Applications

Name: Advanced Computational Electromagnetic Methods and Applications
Brand: Artech House
Price: 128.99 EUR
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Atef Elsherbeni(Author)

Artech House (Publisher)

1st Edition

Published on 31. March 2015

600 pages

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978-1-60807-897-4 (ISBN)

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Intro
Advanced Computational Electromagnetic Methods and Applications
Contents
Preface
Chapter 1 Novelties of Spectral Domain Analysis in Antenna Characterizations: Concept, Formulation, and Applications
1.1 INTRODUCTION
1.2 ANTENNA RADIATION ANALYSIS IN THE SPECTRAL DOMAIN
1.2.1 From Maxwell's Equations to the Plane Wave Spectrum
1.2.2 The Plane Wave Spectrum and the Fourier Transform
1.2.3 Radiated Far Fields as a Spectrum of Plane Waves
1.3 OBTAINING THE PLANE WAVE SPECTRUM FROM FAR-FIELD PATTERNS AND RADIATED POWER
1.3.1 Finding the True Far-Field Magnitudes
1.3.2 Plane Wave Spectrum Retrieval from Far-Field Patterns
1.4 PLANE WAVE SPECTRUM COMPUTATION VIA FAST FOURIER TRANSFORM
1.4.1 Discretizing the Plane Wave Spectrum and the Electric Field Distribution
1.4.2 Proper Normalization of the Fast Fourier Transform
1.4.3 The Sampling Theorem and Spectral Analysis
1.4.4 Far-Field Sampling Rates
1.4.5 Interpolating the Far Fields
1.4.6 Subtle Issues When Implementing the FFT and iFFT Using Pre-Built Packages and Libraries
1.5 COORDINATE TRANSFORMATIONS FOR GENERALIZED SIMULATION AND MEASUREMENT SYSTEMS
1.6 THEORETICAL VALIDATION OF NEAR-FIELD PREDICTION
1.6.1 Rectangular Aperture Distribution
1.6.2 Circular Aperture Distribution
1.6.3 Axial Field Prediction of the Uniform Circular Aperture
1.7 SOME PRACTICAL EXAMPLES
1.7.1 A Symmetric Reflector Antenna
1.7.2 A Symmetric Reflector Antenna with an Elliptical Projected Aperture
1.7.3 Near-Field Prediction with Only Two Pattern Cuts
REFERENCES
Chapter 2 High-Order FDTD Methods
2.1 FOURTH ORDER DIFFERENCES IN FDTD DISCRETE SPACE
2.2 SEAMLESS HYBRID S24/FDTD SIMULATIONS
2.3 ABSORBING BOUNDARY CONDITIONS
2.4 POINT CURRENT AND FIELD SOURCES
2.5 PLANE WAVE SOURCES
2.6 PEC MODELING
2.6.1 Planar PEC Boundaries
2.6.2 Noncritical Curved PEC Models
2.6.3 Critical Curved PEC Models
2.7 ADVANCED FORMS OF HIGH-ORDER FDTD ALGORITHMS
2.7.1 The Finite Volumes-Based FV24 Algorithm
2.7.2 High-Order Algorithms for Compact-FDTD Grids
REFERENCES
Chapter 3 GPU Acceleration of FDTD Method for Simulation of Microwave Circuits
3.1 INTRODUCTION
3.2 FDTD CODE FOR MICROWAVE CIRCUIT SIMULATION
3.2.1 Features of the FDTD Code
3.2.2 Input Parameters File
3.2.3 Main Program Layout
3.2.4 Field Updates
3.2.5 Outputs of the Program
3.3 FDTD CODE USING CUDA
3.3.1 Performance Optimization
3.3.2 Memory Accesses
3.3.3 Preparation of the GPU Device
3.3.4 Thread to Cell Mapping
3.3.5 The Time-Marching Loop
3.3.6 Field Updates
3.3.7 Source Updates and Output Calculations
3.4 NUMERICAL RESULTS
REFERENCES
Chapter 4 Recent FDTD Advances for Electromagnetic Wave Propagation in the Ionosphere
4.1 INTRODUCTION
4.2 CURRENT STATE OF THE ART
4.3 FDTD EARTH-IONOSPHERE MODEL OVERVIEW
4.3.1 FDTD Space Lattice
4.3.2 Example Updating Algorithm for TM Grid Cells
4.4 NEW MAGNETIZED IONOSPHERIC PLASMA ALGORITHM
4.4.1 Collisional Plasma Algorithm
4.4.2 Two Example Validations
4.4.3 Summary of Performance
4.5 STOCHASTIC FDTD (S-FDTD)
4.5.1 Overview
4.5.2 Mean Field Equations
4.5.3 Variance Field Equations
4.6 INPUT TO FDTD/S-FDTD EARTH-PLAMSA IONOSPHERE MODELS
4.7 CONCLUSIONS
REFERENCES
Chapter 5 Phi Coprocessor Acceleration Techniques in Computational Electromagnetic Methods
5.1 INTRODUCTION
5.2 ENVIRONMENT REQUIREMENTS AND SETTINGS
5.2.1 Hardware Configuration
5.2.2 Software Configuration
5.2.3 Compilation Environment
5.3 CODE DEVELOPMENT
5.3.1 Performance Optimization
5.3.2 Memory Alignment
5.3.3 Parallel FDTD Implementation
5.3.4 Job Scheduling Strategy
5.3.5 FDTD Code Development
5.3.6 Matrix Multiplication
5.4 NUMERICAL RESULTS
REFERENCES
Chapter 6 Domain Decomposition Methods for Finite Element Analysis of Large-Scale Electromagnetic Problems
6.1 FETI METHODS WITH ONE AND TWO LAGRANGE MULTIPLIERS
6.1.1 FETI Method with One Lagrange Multiplier
6.1.2 FETI Method with Two Lagrange Multipliers
6.1.3 Symbolic Formulation
6.2 FETI-DP METHODS WITH ONE AND TWO LAGRANGE MULTIPLIERS
6.2.1 FETI-DP Method with One Lagrange Multiplier
6.2.2 FETI-DP Method with Two Lagrange Multipliers
6.2.3 Comparison Between FETI-DP Methods with One and Two Lagrange Multipliers
6.3 LM-BASED NONCONFORMAL FETI-DP METHOD
6.3.1 Nonconformal Interface and Conformal Corner Meshes
6.3.2 Extension to Nonconformal Interface and Corner Meshes
6.4 CE-BASED NONCONFORMAL FETI-DP METHOD
6.4.1 Nonconformal Interface and Conformal Corner Meshes
6.4.2 Extension to Nonconformal Interface and Corner Meshes
6.4.3 Comparison Between the LM- and CE-Based FETI-DP Methods
6.5 FETI-DP METHOD ENHANCED BY THE SECOND-ORDER TRANSMISSION CONDITION
6.6 HYBRID NONCONFORMAL FETI/CONFORMAL FETI-DP METHOD
6.7 NUMERICAL EXAMPLES
6.7.1 Wave Propagation in Free Space
6.7.2 Wave Propagation in PML Medium
6.7.3 Vivaldi Antenna Array
6.7.4 Vivaldi Antenna Array with a Large Scan Angle
6.7.5 NRL Vivaldi Antenna Array with Radome
6.7.6 Medium-Scale Two-Dimensional Microring Resonator
6.7.7 Full-Scale Three-Dimensional Double-Microring Resonator
6.8 SUMMARY
REFERENCES
Chapter 7 High-Accuracy Computations for Electromagnetic Integral Equations
7.1 NORMALIZED RESIDUAL ERROR
7.2 HIGH-ORDER TREATMENT OF SMOOTH TARGETS
7.3 THE DIPOLE ANTENNA
7.4 HIGH-ORDER TREATMENT OF WEDGE SINGULARITIES
7.5 HIGH-ORDER TREATMENT OF JUNCTIONS
7.6 ALTERNATIVE ERROR ESTIMATORS
7.7 PROSPECTS FOR CONTROLLED ACCURACY COMPUTATIONS IN THREE-DIMENSIONAL PROBLEMS
7.8 SUMMARY
REFERENCES
Chapter 8 Fast Electromagnetic Solver Based on Randomized Pseudo-Skeleton Approximation
8.1 INTRODUCTION
8.2 LOW RANK PROPERTY OF SUBMATRICES OF PARTITIONED IMPEDANCE MATRIX
8.3 PARTITIONING OF THE COMPUTATIONAL DOMAIN
8.4 LOW RANK MATRIX DECOMPOSITION
8.4.1 Singular Value Decomposition
8.4.2 Randomized Projection Approach
8.4.3 Adaptive Cross Approximation (ACA)
8.4.4 Randomized Pseudo-Skeleton Approximation
8.5 LOW RANK DECOMPOSITION OF MULTIPLE RIGHT SIDES
8.6 DIRECT SOLVER BASED ON BLOCK LU DECOMPOSITION
8.7 PARALLELIZATION VIA OPENMP AND BLAS LIBRARY
8.8 NUMERICAL EXAMPLES
8.8.1 Selection of the Sample Numbers
8.8.2 Accuracy of the Randomized Pseudo-Skeleton Approximation
8.8.3 Comparison with ACA
8.8.4 RCS of a PEC Sphere
8.8.5 Multiple Monostatic Scattering Analysis of an Airplane Model
8.8.6 Speed-Up of the Parallel Implementation
8.9 SUMMARY
REFERENCES
Chapter 9 Computational Electromagnetics for the Evaluation of EMC Issues in Multicomponen tEnergy Systems
9.1 INTRODUCTION
9.2 PHYSICS-BASED MODELING FOR THE ANALYSIS OF THE MACHINE DRIVE
9.2.1 Multiscale Problems
9.2.2 Numerical Virtual Prototyping
9.3 EQUIVALENT SOURCE MODELING
9.3.1 Introduction Motor
9.3.2 DC Motor
9.3.3 Synchronous Generator
9.3.4 Cable Sets
9.3.5 Coupling of Machines
9.3.6 Whole System Setup
9.3.7 Generalization of the Equivalent Source Model
9.4 POWER CONVERTERS
9.4.1 Modeling Approach
9.4.2 Simulation and Experiment
9.4.3 Applications of the Frequency Response Analysis of the Stray Field
9.5 HIGH-FREQUENCY EQUIVALENT SOURCE MODELING
9.6 OPTIMIZATION OF POWER ELECTRONIC CONVERTERS USING PHYSICS-BASED MODELS
9.7 SUMMARY
REFERENCES
Chapter 10 Manipulation of Electromagnetic Waves Based on New Unique Metamaterials: Theory and Applications
10.1 INTRODUCTION
10.2 THEORY OF TRANSFORM OPTICS AND APPLICATIONS
10.2.1 Theory of Transform Optics
10.2.2 Invisibility Cloak Based on Transform Optics
10.2.3 Electromagnetic Concentrator Based on the Transform Optics
10.2.4 Reflectionless Waveguide Connector Based on Transform Optics
10.2.5 Multibeam Antenna Based on Transform Optics
10.3 A DETACHED ZERO INDEX METAMATERIAL LENS FOR ANTENNA GAIN ENHANCEMENT
10.3.1 Design and Analysis of Detached ZIML
10.3.2 Fabrication, Simulation, and Test of ZIML
10.4 AUTOMATIC DESIGN OF BROADBAND GRADIENT INDEX METAMATERIAL LENS FOR GAIN ENHANCEMENT OF CIRCULARLY POLARIZED ANTENNAS
10.4.1 Automatic Design Method of GRIN Metamaterial Lens
10.4.2 Numerical Simulations
10.4.3 Fabrication and Measurement
10.5 CONCLUSIONS
REFERENCES
Chapter 11 Time-Domain Integral Equation Method for Transient Problems
11.1 INTRODUCTION
11.2 DERIVATIONS OF TIME-DOMAIN INTEGRAL EQUATIONS
11.2.1 Integral Equations for the 3-D PEC Object
11.2.2 Integral Equations for 1-D and 2-D PEC Structures
11.2.3 Integral Equations for the 3-D Dielectric Body
11.3 DISCRETIZATION OF GOVERNING EQUATIONS
11.3.1 Discretization for the Wire Problem
11.3.2 Discretization for the 2-D Problem
11.3.3 Discretization for the 3-D Conducting Body
11.3.4 Discretization for the 3-D Dielectric Body
11.4 EVALUATION OF MATRIX ELEMENTS
11.4.1 Matrix Setup for the Wire Problem
11.4.2 Matrix Setup for the 3-D Problem
11.4.3 Matrix Setup for the 2-D Problems
11.5 EXTENSION TO MOVING OBJECTS
11.5.1 Transforms of Space Time and Fields
11.5.2 Simulation Process
11.6 NUMERICAL IMPLEMENTATIONS
11.6.1 Numerical Examples for Wire Problems
11.6.2 Numerical Examples for the 2-D Structures
11.6.3 Numerical Examples for the 3-D Geometries
11.6.4 Numerical Examples for Moving Objects
11.7 SUMMARY
REFERENCES
Chapter 12 Statistical Methods and Computational Electromagnetics Applied to Human Exposure Assessment
12.1 INTRODUCTION
12.2 EXPOSURE ASSESSMENT USING FDTD AND THE CHALLENGE OF VARIABILITY
12.2.1 Present Exposure Assessment Using FDTD
12.2.2 Uncertainty and Variability Management
12.3 METAMODEL MODEL FOR UNCERTAINTY PROPAGATION
12.4 DESIGN OF EXPERIMENTS
12.5 SURROGATE MODEL VALIDATION
12.6 MODEL CONSTRUCTION AND REGRESSION
12.7 POLYNOMIAL CHAOS EXPANSIONS
12.7.1 Introduction to Polynomial Chaos Expansions
12.7.2 Calculation of the GPCE Coefficients
12.7.3 Construction of a Surrogate Model Using a Polynomial Chaos
12.7.4 Example of the Use of the GPCE Model
12.7.5 Sensibility Analysis
12.8 KRIGING
12.8.1 Introduction to Kriging
12.8.2 Covariance and Variogram
12.8.3 Ordinary and Simple Kriging
12.9 CONCLUSION
REFERENCES
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