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TABLE OF CONTENTS

 

CHAPTER 1 1

Description of Scattering Problems 1

1.1 MAXWELL’S EQUATIONS 1

1.2 DESCRIPTION OF SCATTERING PROBLEM 4

1.3 INTEGRAL EQUATIONS 8

1.3.1 Electric Field Integral Equation (EFIE) Formulation 9

1.3.2 PMCHW for homogeneous lossy dielectric objects 13

1.3.3 E-PMCHW for dielectrically coated conducting objects 17

1.3.4 E-PMCHW for multilayered dielectrically coated conducting objects 22

1.4 RADAR CROSS SECTION 24

CHAPTER 2 29

The Method of Moments 29

2.1 INTRODUCTION 29

2.2 THE METHOD OF MOMENTS 32

2.3 BASIS AND TESTING FUNCTIONS 35

2.3.1 Basis Functions 35

2.3.2 Testing Functions 38

2.4 RWG BASIS FUNCTION 39

2.5 SOLUTION OF INTEGRAL EQUATIONS WITH MoM 42

2.5.1 Testing of the EFIE for Perfect Conductor 42

2.5.2 Testing of the EFIE for Imperfect Conductor 45

2.5.3 Testing of the EFIE for Wires and Wire-Surface Junctions 48

2.5.4 Testing of the PMCHW 59

2.5.5 Testing of the E-PMCHW 62

2.5.6 Testing of the E-PMCHW for multi-layered 64

2.6 Efficient Generation of the Impedance Matrix Based on the

Equivalent Dipole Moment (FMG) 65

2.7 EXAMPLES 70

2.7.1 Sphere with ka=2 70

2.7.2 Dielectric Sphere with different ka 72

2.7.3 FMG - Sphere with 0.5 λ Radius 74

2.7.4 FMG - 3λ Cylinder 76

2.7.5 Quarter-wave Monopole Antenna over a Finite Ground Plane 78

2.8 CONCLUSION 80

CHAPTER 3 81

Characteristic Basis Function Method 81

3.1 INTRODUCTION 81

3.2 CHARACTERISTIC BASIS FUNCTION METHOD 84

3.3 IMPROVEMENT OF THE CBFM 90

3.3.1 Singular Value Decomposition 90

3.3.2 Plane Wave Spectrum and CBFM 92

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3.4.1 10 λ side PEC cube 98

3.4.2 4 λ radius PEC sphere 99

3.4.3 NASA almond 101 3.4.4 Corner Reflector 103 3.5 CONCLUSION 106 CHAPTER 4 107 CBFM Improvements 107 4.1 INTRODUCTION 107

4.2 CBFs GENERATION BY USING SPARSE IMPEDANCE MATRIX 109

4.2.1 Formulation 109

4.2.2 Numerical Results 113

4.3 THE UNIVERSAL CHARACTERISTIC BASIS FUNCTIONS 115

4.3.1 Formulation 115

4.3.2 Numerical Results 118

4.4 CBFM ANALYSIS OF STRUCTURE WITH SLOT ANTENNA 121

4.4.1 Formulation 121

4.4.2 Numerical Results 123

4.4.3 Conclusions 126

4.5 LOCALLY MODIFIED OPTION 127

4.5.1 Formulation 127 4.5.2 Numerical Results 129 4.6 PARALLEL CODE 133 4.7 CONCLUSION 138 CONCLUSION 139 .

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