Rigorous analysis of electrically large reflector antennas. - Page 8 |
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TABLE OF CONTENTS
LIST OF FIGURES vii
PREFACE xii
Chapter 1 INTRODUCTION 1
Chapter 2 INTEGRAL EQUATION SOLUTIONS USING
ELECTRICALLY LARGE BASIS FUNCTIONS 11
2.1 Formulation of the Two-Dimensional EFIE.................................................13
2.2 Solution of EF1B Using the Method of Moments........................................ 17
2.2.1 Derivation of Method of Moments Solution Algorithm............... 17
2.2.2 Current Density Induced on an Offset Cylindrical Plate..............20
2.3 Solution of the EF1E Using an Electrically Large Basis Function............ 24
2.3.1 Definition of the Electrically Large Basis Function..................... 24
2.3.2 Derivation of the Non-Linear Solution Algorithm........................25
2.3.3 Analysis of the Offset Cylindrical Plate..........................................27
2.3.4 Analysis of an Electrically Large Cylindrical Reflector
antenna...............................................................................................29
2.4 Analysis of Three-Dimensional EFIE Using an Electrically Large
Basis Function.................................................................................................33
Chapter 3 APPLICATION OF MAGNETIC FIELD INTEGRAL
EQUATION TO THIN PLATE STRUCTURES 36
3.1 Comparison of the EFIE and MFIE..............................................................37
3.2 Derivation of the M FIE................................................................................. 39
3.2.1 Derivation of the Basic MFIE..........................................................39
3.2.2 Removal of the Singularity in the MFIE......................................... 42
3.3 Derivation of an Open-Surface MFIE.......................................................... 46
3.4 Closed Form Behavior of the Edge Current Density on Thin Plate
Structures........................................................................................................ 51
3.4.1 Front and Back Current Density of an Infinitely-Thin Plate........ 52
3.4.2 CIosed-Form Front and Back Current Density of a
Cylindrical R at Plate........................................................................ 53
3.4.3 Side Current Density on a Thin Plate............................................. 55
3.4.4 Validation With a Numerical Solution........................................... 58
3.5 Source of the MFIE Error When Applied to a Thin Plate Geometry........62
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission.
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| Title | Rigorous analysis of electrically large reflector antennas. - Page 8 |
| Repository email | cisadmin@lib.usc.edu |
| Full text | TABLE OF CONTENTS LIST OF FIGURES vii PREFACE xii Chapter 1 INTRODUCTION 1 Chapter 2 INTEGRAL EQUATION SOLUTIONS USING ELECTRICALLY LARGE BASIS FUNCTIONS 11 2.1 Formulation of the Two-Dimensional EFIE.................................................13 2.2 Solution of EF1B Using the Method of Moments........................................ 17 2.2.1 Derivation of Method of Moments Solution Algorithm............... 17 2.2.2 Current Density Induced on an Offset Cylindrical Plate..............20 2.3 Solution of the EF1E Using an Electrically Large Basis Function............ 24 2.3.1 Definition of the Electrically Large Basis Function..................... 24 2.3.2 Derivation of the Non-Linear Solution Algorithm........................25 2.3.3 Analysis of the Offset Cylindrical Plate..........................................27 2.3.4 Analysis of an Electrically Large Cylindrical Reflector antenna...............................................................................................29 2.4 Analysis of Three-Dimensional EFIE Using an Electrically Large Basis Function.................................................................................................33 Chapter 3 APPLICATION OF MAGNETIC FIELD INTEGRAL EQUATION TO THIN PLATE STRUCTURES 36 3.1 Comparison of the EFIE and MFIE..............................................................37 3.2 Derivation of the M FIE................................................................................. 39 3.2.1 Derivation of the Basic MFIE..........................................................39 3.2.2 Removal of the Singularity in the MFIE......................................... 42 3.3 Derivation of an Open-Surface MFIE.......................................................... 46 3.4 Closed Form Behavior of the Edge Current Density on Thin Plate Structures........................................................................................................ 51 3.4.1 Front and Back Current Density of an Infinitely-Thin Plate........ 52 3.4.2 CIosed-Form Front and Back Current Density of a Cylindrical R at Plate........................................................................ 53 3.4.3 Side Current Density on a Thin Plate............................................. 55 3.4.4 Validation With a Numerical Solution........................................... 58 3.5 Source of the MFIE Error When Applied to a Thin Plate Geometry........62 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. |
