Finite Element Analysis of Antennas and Arrays

by Jian-Ming Jin (The University of Michigan, Ann Arbor); Douglas J. Riley

• ISBN13: 9780470409725
• ISBN10: 047040972X
• Format: eBook
• Copyright: 2009-02-01
• Publisher: Wiley-IEEE Press

Summary

Antenna technologies have received renewed interest because of the rapid development of wireless devices and advanced defense applications. Consequently, highly accurate and efficient modeling and simulation tools are needed to satisfy the demand for sophisticated antenna designs. Finite Element Analysis of Antennas and Arrays covers all the technical aspects in the analysis of complex antennas and arrays using the finite element method.

Table of Contents

Preface

Acknowledgments

Introduction.

Numerical Simulation of Antennas

Finite Element Analysis vs. Other Numerical Methods

Frequency- vs. Time-Domain Simulations

Brief Review of Past Work

Overview of This Book

References

Finite Element Formulation.

Finite Element Formulation in the Frequency Domain

Finite Element Formulation in the Time Domain

Modeling of Complex Materials

Modeling of Electrically and Magnetically Lossy Materials

Modeling of Electrically Dispersive Materials

Modeling of Magnetically Dispersive Materials

Modeling of Doubly Dispersive Lossy Materials

Solution of the Finite Element Equations

Higher-Order and Curvilinear Finite Elements

Summary

References

Finite Element Mesh Truncation.

Absorbing Boundary Conditions

First-Order Absorbing Boundary Condition

Second-Order Absorbing Boundary Condition

Perfectly Matched Layers

PML in Terms of Stretched Coordinates

PML as an Anisotropic Material Absorber

PML for Truncating Computational Domain

Finite Element Implementation of PML

ABC-Backed, Complementary, CFS, and Second-Order PMLs

Boundary Integral Equations

Frequency-Domain Formulations

Time-Domain Formulations

Treatment of Infinite Ground Plane

Summary

References

Hybrid FETD-FDTD Technique.

The FDTD Method

PML Implementation in FDTD

FDTD Stretched-Coordinate PML

FDTD Anisotropic PML

Near-to-Far-Field Transformation in FDTD

Alternative FETD Formulation

Equivalence between FETD and FDTD

Stable FETD-FDTD Interface

Initial Approaches

Stable Formulation

Building Hybrid Meshes

Wave-Equation Stablization

Validation Examples

Summary

References

Antenna Source Modeling and Parameter Calculation.

Antenna Feed Modeling

Current Probe

Voltage Gap Generator

Waveguide Feed Model

Plane-Wave Excitation

Total-Field Formulation

Scattered-Field Formulation

Total- and Scattered-Field Decomposition Approach

Far-Field Pattern Computation

Near-Field Visualization

Summary

References

Modeling of Complex Structures.

Thin Material Layers and Sheets

Impedance Boundary Conditions

Shell Element Formulation

Thin Wires and Slots

Thin Wires

Thin Slots

Lumped Circuit Elements

Coupled First-Order Equations

Wave Equation

Example

Distributed Feed Network

System-Level Coupling Example

Internal Dispersive Material Calibration

External Illumination and Aperture Coupling

Summary

References

Antenna Simulation Examples.

Narrowband Antennas

Coaxial-fed Monopole Antenna

Monopole Antennas on a Plate

Patch Antennas on a Plate

Conformal Patch Antenna Array

Broadband Antennas

Ridged Horn Antenna

Sinuous Antenna

Logarithmic Spiral Antenna

Inverted Conical Spiral Antenna

Antipodal Vivaldi Antenna

Vlasov Antenna

Antenna RCS Simulations

Microstrip Patch Antenna

Standard Gain Horn Antenna

Summary

References

Axisymmetric Antenna Modeling.

Method of Analysis

Finite Element Formulation

Mesh Truncation Using Perfectly Matched Layers

Mesh Truncation Using Boundary Integral Equations

Application Examples

Luneburg Lens

Corrugated Horn

Current Loop Inside a Radome

Summary

References

Infinite Phased Array Modeling.

Frequency-Domain Modeling

Periodic Boundary Conditions

Mesh Truncation Techniques

Extension to Skew Arrays

Extension to Scattering Analysis

Application Examples

Time-Domain Modeling

Transformed Field Variable

Mesh Truncation Techniques

General Material Modeling

Application Examples

Approximation to Finite Arrays

Summary

References

Finite Phased Array Modeling.

Frequency-Domain Modeling

The FETI-DPEM1 Formulation

The FETI-DPEM2 Formulation

Nonconforming Domain Decomposition

Application Examples

Time-Domain Modeling

The Dual-Field Domain Decomposition Method

Domain Decomposition for Iterative Solutions

Application Examples

Summary

References

Antenna-Platform Interaction Modeling.

Coupled Analysis

FETI-DPEM with Domain Decomposition

Hybrid FETD-FDTD with Domain Decomposition

Hybrid FE-BI Method with FMM Acceleration

Decoupled Analysis

Near-Field Calculation

Far-Field Evaluation by Numerical Methods

Far-Field Evaluation by Asymptotic Techniques

Direct and Iterative Improvements

Summary

References

Numerical and Practical Considerations.

Choice of Simulation Technologies

Frequency- vs. Time-Domain Simulation Tools

Fast Frequency Sweep

Numerical Convergence

Domain Decomposition and Parallel Computing

Verification and Validation of Predictions

Summary

References

Index

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