Contents
ACKNOWLEDGEMENT ... 7
ABSTRACT ... 9
INTRODUCTION ... 11
1 ELECTROMAGNETIC PRINCIPLES ... 13
1.1 Maxwell Equations ... 13
1.2 Volumetric Equivalence Principle ... 15
1.3 Brief description of a scattering problem ... 16
1.4 Potentials in theory of the radiation ... 17
1.5 Duality relationships ... 19
1.6 Reciprocity Theorem ... 20
1.7 Reaction theorem ... 21
1.8 Surface Equivalence Principle ... 21
1.9 Surface integral equation ... 22
1.9.1 Aperture in a conducting plane... 24
1.10 Scattering Cross Section and Radar Cross Section ... 26
2 METHOD OF MOMENTS ... 27
2.1 The core of method: inner product ... 27
2.2 Method of Moments ... 29
2.3 Basis Functions ... 30
2.3.1 Sub-domain functions ... 30
2.3.2 High level functions ... 32
2.4 RWG Functions ... 32
2.5 Testing Functions ... 35
2.6 Solution of Integral Equation: EFIE for a Perfect Conductor ... 36
2.7 Solution of Integral Equation: EFIE for an Imperfect Conductor ... 38
2.8 Solution of Integral Equation: EFIE for a Wires and Wire-Surface Junctions ... 41
2.9 Numerical Simulations ... 50
2.9.1 PEC boat ... 50
2.9.2 PEC vessel ... 52
2.9.3 Monopole on PEC boat ... 53
3 CHARACTERISTIC BASIS FUNCTION METHOD ... 57
3.1 Characteristic Basis Function Method ... 57
3.2 Memory saving ... 61
3.3 Singular Value Decomposition ... 61
3.4 Numerical results ... 62
3.4.1 PEC plate with a monopole ... 62
3.4.2 Frigate ... 64
4 IMPROVEMENT OF THE CBFM ... 67
4.1 Introduction to Ultra wide band CBFs ... 67
4.2 Formulation of UCBFs ... 69
4.3 Numerical Results ... 71
4.3.1 PEC cube ... 71
4.3.2 Sphere ... 74
4.3.3 Boat ... 75
4.3.4 Airplane ... 79
4.4 Problem structure with apertures (slots) ... 82
4.5 Formulation ... 83
4.5.1 RHS calculation ... 85
4.5.2 Far Field calculation ... 86
4.6 Numerical result ... 87
4.6.1 Electrically large cylinder with a slot ... 87
4.6.2 Slot on a large platform. ... 89
4.6.3 Slot antenna array onboard a PEC missile ... 91
4.6.4 Standard WR10 waveguide with flange ... 93
4.7 CBMoM GUI ... 97
CONCLUSION ... 99
BIBLIOGRAPHY ... 101
LIST OF PUBLICATIONS ... 105
