The first time that such a complete systematic analysis of the mathematical and numerical techniques related to the orthogonal methods has been given.With the explosion of the wireless world, greater emphasis than ever before is being placed on the effective design of antennas. Orthogonal Methods for Array Synthesis outlines several procedures of orthogonal methods suitable for antenna array synthesis. The book presents a simple approach to the design of antenna arrays to enable the reader to use the classical Orthogonal Method for synthesis of linear arrays.This theory-based book, which includes rapid, effective solutions to design problems for communications applications and broadcasting, is amply illustrated with real-world examples and case studies. Also included in the book is the ORAMA MS Windows-compatible computer tool, patented by Professor Sahalos and his team.Provides comprehensive coverage of the basic principles of orthogonal methods including an analytical explanation of the orthogonal method (OM) and the orthogonal perturbation method (OP)Gives rapid, cost-effective solutions to antenna design problems for communications applications and broadcastingIllustrates all theory with practical applications gleaned from the author’s extensive experience in the field of orthogonal advanced methods for antennasProviding a complete guide to the theory and applications of the Orthogonal Methods, this book is a must-read for antenna engineers and graduate students of electrical and computer engineering and physics.
Author(s): John Sahalos
Year: 2006
Language: English
Pages: 228
ORTHOGONAL METHODS FOR ARRAY SYNTHESIS......Page 4
Contents......Page 10
Preface......Page 14
1.2 Antenna Array Factor......Page 16
1.3 Elements and Array Types......Page 18
1.4.2 Radiation Intensity......Page 19
1.4.4 Antenna Efficiency......Page 20
1.4.6 Antenna Patterns......Page 21
1.4.8 Beam Efficiency......Page 27
1.4.10 Quality Factor......Page 28
1.4.11 Sensitivity Factor......Page 29
1.7 Array Factor Classification......Page 30
References......Page 31
2.2 Linear Arrays......Page 34
2.3 Uniform Linear Arrays......Page 36
2.4.2 Dolph-Chebyshev Arrays......Page 38
2.4.3 Riblet Arrays......Page 41
2.4.4 Other Chebyshev Arrays......Page 42
2.5.1 Simple Linear Distributions......Page 43
2.5.2 Taylor Distribution (Chebyshev Error)......Page 46
2.5.3 Taylor One-parameter Distribution......Page 49
2.5.4 Bayliss Distribution......Page 50
2.5.5 Modified Patterns by Iteration......Page 52
2.6 Planar Arrays......Page 55
2.6.1 Planar Chebyshev Arrays......Page 56
2.6.2 Circular Arrays......Page 59
2.7 3-D Arrays......Page 62
2.8 Conformal Arrays......Page 64
References......Page 65
3.2 Uniform Linear Array Synthesis......Page 68
3.3 Chebyshev Array Synthesis......Page 69
3.6 The Woodward – Lawson (WL) Method......Page 71
3.7 Array Synthesis as an Optimization Problem......Page 73
3.7.1 Optimization of an Array Index......Page 74
3.7.2 Optimization by Simplex and Gradient Methods......Page 75
3.7.3 Optimization by Simulated Annealing Method......Page 76
3.7.4 Optimization by Genetic Algorithms (GAs)......Page 77
3.8 Synthesis by Convolution of Linear, Planar and 3-D Arrays......Page 78
References......Page 80
4.1 Introduction......Page 82
4.2 Synthesis of Non-uniformly Spaced Linear Arrays: The Matrix Inversion Method......Page 83
4.3 Synthesis of Non-uniformly Spaced Linear Arrays: The Orthogonal Method......Page 84
4.3.1 Examples of Synthesis of Linear Arrays with the Orthogonal Method......Page 86
4.4 Synthesis of Non-uniformly Spaced Linear Arrays Subject to Constraints: The Constrained Orthogonal Method......Page 111
4.4.1 Synthesis Under Null Constraints on Pattern Levels......Page 113
4.4.2 Synthesis Subject to Minimization of the Pattern Level in Certain Angular Regions......Page 115
4.4.3 Synthesis Subject to Constraints on SLLs......Page 116
4.5 Quantized Excitation and Geometry Synthesis of a Linear Array: The Orthogonal Perturbation Method......Page 119
4.5.1 Detailed Analysis and Examples......Page 121
4.6 Synthesis of Non-uniformly Spaced Planar Arrays: The Orthogonal Method......Page 127
4.7 Synthesis of Non-uniformly Spaced 3-D Arrays: The Orthogonal Method......Page 129
4.7.1 Detailed Analysis and Examples......Page 134
4.8 Synthesis of Non-uniformly Spaced 3-D Arrays with Arbitrarily Oriented Dipoles: The Non-parallel Orthogonal Method......Page 137
4.9 Synthesis of Arrays of Wire Antennas: The MoM Orthogonal Method......Page 143
4.10 Synthesis of General Antenna Arrays: The Orthogonal Compensation Method......Page 149
4.11 Synthesis of Conformal Arrays: The Conformal Orthogonal Method......Page 157
4.11.1 Synthesis of Microstrip Cylindrical Conformal Arrays: The Orthogonal Method......Page 159
4.11.2 Synthesis of Slotted Conical Conformal Arrays: The Orthogonal Method......Page 169
4.11.3 Synthesis of Slot Arrays on a Perfectly Conducting Paraboloid: The Orthogonal Method......Page 180
References......Page 188
5.2 Description of the ORAMA Program......Page 192
5.3.2 Small Dipole (Hertz Dipole)......Page 201
5.3.3 Finite Length Dipole......Page 202
5.3.4 Crossed Dipoles......Page 203
5.3.5 Horns......Page 204
5.3.6 Microstrip Patches......Page 217
5.4 Design Examples......Page 219
5.5 Conclusion......Page 226
References......Page 227
Index......Page 228
