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GREEN’S FUNCTIONS IN LAYERED MEDIA

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CONTENTS

ABSTRACT-SOMMARIO . . . 1

INDEX TERMS . . . 3

INTRODUCTION . . . 5

1. GREEN’S FUNCTIONS IN LAYERED MEDIA . . . 7

1.1. Introduction . . . 7

1.2. Spectral Domain Green’s Functions. . . . 8

1.3. Closed-Form Green’s Functions in the Spatial Domain . . . . 20

2. INTEGRAL EQUATIONS AND METHOD OF MOMENTS . . . 35

2.1. Introduction. . . 35

2.2. The Method of Moments . . . 35

2.3. Basis Functions . . . . . . . . . . . 38

2.3.1. Subdomain Basis Functions . . . . . . . 39

2.3.2. Entire Domain Basis Functions . . . . . . . 40

2.3.3. High Level Basis Functions. . . . . . . 43

2.4. Testing Functions. . . . . . . . . . . . 43

2.5. The Rao-Wilton-Glisson (RWG) Basis Functions . . . . . . . 44

2.6. Solution of the EFIE via the Method of Moments . . . . . . . . 48

2.7. Testing Procedure with the DGFs . . . . . . . . . . . . 55

2.8. Numerical Results . . . . . . . . . . . 56

3. A FREQUENCY INTERPOLATION ALGORITHM FOR PLANAR MICROSTRIP STRUCTURES . . . 61

3.1. Introduction. . . 61

3.2. Spline Fitting Approach . . . . 61

3.3. Numerical Results . . . . . . . . . . . 67

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3.3.1. Edge coupled microstrip filter . . . . . . . 69

3.3.2. Bandpass Stepped Filter. . . . . . . 76

3.3.3. Three-Ring Resonator Filter. . . . . . . 83

4. AN EFFICIENT MOM ANALYSIS OF ELECTRICALLY LARGE CIRCUITS ETCHED IN LAYERED MEDIA . . . . . . . . . . . . 91

4.1. Introduction. . . 91

4.2. The Characteristic Basis Function Method . . . 92

4.3. Numerical Results . . . . . . . . . . . 98

4.3.1. 2x1 Planar Patch Array. . . .. . . . . . . 98

4.3.2. 2x2 Planar Patch Array. . .. . . . . . . 103

4.3.3. 4x2 Planar Patch Array. . .. . . . . . . 108

4.4. A New Technique for Efficient Simulation of Microstrip Circuits . . . 111

4.5. Numerical Results . . . . . . . . . . . 119

CONCLUSIONS . . . 129

REFERENCES . . . . . . . 131

ACKNOWLEDGEMENTS. . . 139

APPENDIX A . . . . . . . 141

APPENDIX B . . . . . . . 143

APPENDIX C . . . . . . . 147

APPENDIX D . . . . . . . 149

APPENDIX E . . . . . . . 153

LIST OF PUBLICATIONS . . . 161

Riferimenti

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