Practical Applications of Asymptotic

Antenna, wireless communication and other electrical engineers use asymptotic techniques for solving electromagnetic problems when the electrical size of a given scenario is large in comparison to the wavelength. This practical book offers in-depth coverage of this area, showing how to apply these techniques to the analysis of complex electromagnetic problems in order to obtain results with an exceptionally high degree of accuracy. Focusing on two highly-effective methods – the uniform theory of diffraction (UTD) and physical optics (PO), this book is unique in that it emphasizes how to solve real-world problems, rather than simply explaining theory like other books on the market. This first-of-its-kind resource show professionals how to apply this knowledge to a wide range of projects in the field, including antenna design, mobile communications, and RCS (revision control system) computation. This authoritative book is supported with more than 100 illustrations and over 250 equations.

Preface	p. ix
Introduction	p. 1
Asymptotic Techniques and Real-World Problems	p. 1
Structure of This Book	p. 4
References	p. 5
Geometric Description of the Bodies and Computation of Geometric Parameters	p. 7
Overview of the Geometric Modeling of Complex Objects	p. 7
Rational Bezier Curves	p. 10
Rational B-Spline Curves	p. 13
Rational Bezier Surfaces	p. 16
Rational B-Spline Surfaces	p. 22
Transformation from NURBS Representation to Bezier Representation	p. 23
Computation of Geometric Parameters on Bezier Surfaces	p. 25
Computation of Unit Normal Vectors	p. 25
Computation of Principal Curvature Radii and Principal Directions	p. 26
References	p. 28
Geometrical Optics and Uniform Theory of Diffraction (GO/UTD)	p. 31
Historical Overview	p. 31
Geometrical Optics Equations	p. 35
Ray Trajectory	p. 36
Polarization	p. 37
Phase	p. 37
Amplitude	p. 38
Direct Ray	p. 40
Electromagnetic Field Calculation	p. 40
Determination of the Direct Rays	p. 41
Reflected Field	p. 43
Electromagnetic Field Calculation	p. 43
Determining Reflected Rays and Computing Reflection Points	p. 48
Diffracted Field	p. 50
Electromagnetic Field Calculation	p. 50
Determining Diffracted Rays and Computing Diffraction Points	p. 55
Double Effects	p. 57
Electromagnetic Field Calculation	p. 57
Determining Double Effect Rays	p. 57
Creeping Waves	p. 62
Electromagnetic Field Calculation	p. 62
Determining Creeping Wave Trajectories	p. 65
References	p. 69
Physical Optics and Physical Theory of Diffraction (PO/PTD)	p. 73
Introduction to PO/PTD	p. 73
Physical Optics Foundations	p. 75
Methods to Calculate the PO Integral for Complex Bodies	p. 81
Numerical Integration	p. 81
Ludwig Method	p. 82
Method of Plane Facets	p. 83
Method of Numerical Quadrature	p. 86
Method of the Graphical Processing of the Image	p. 89
Current Modes	p. 90
The Stationary Phase Method	p. 93
Application of PO to the Computation of Higher-Order Reflections	p. 105
Multiple Reflections Between Plane Surfaces	p. 105
Double Reflection Between a Plane Surface and a Curved Surface	p. 107
Double Reflection Between Curved Surfaces Using the SPM	p. 108
Physical Theory of Diffraction and the Equivalent Current Method	p. 110
Introduction of Radar Absorbing Materials (RAM) in the PO Formulation	p. 114
References	p. 115
Acceleration Techniques	p. 119
Acceleration Techniques Applied to High-Frequency Problems	p. 119
Elimination of Surfaces Using Simple Criteria	p. 122
Normal Vector Criterion	p. 122
Intersection with the Bounding Box	p. 123
Classical Techniques for the Ray-Tracing Acceleration for the Shadowing Test	p. 124
The Angular Z-Buffer (AZB) Algorithm	p. 124
Space Volumetric Partitioning (SVP)	p. 127
Application of the AZB to Bodies Modeled by Parametric Surfaces	p. 128
Application to the Shadowing of the Direct Ray	p. 128
Application to the Shadowing of an Intermediate Ray	p. 132
Application to the Determination of the Reflection Points	p. 135
Application to Multiple-Order Reflections	p. 140
Application to the Shadowing of the Diffracted Ray	p. 141
Combination of AZB-SVP for the Analysis in the Near Zone	p. 142
Application of AZB for the Analysis of the RCS	p. 144
Application to Plane Facets	p. 144
Application to Curved Surfaces	p. 145
Application to Double-and Higher-Order Effects Between Plane Facets	p. 146
References	p. 147
Applications	p. 149
Overview of Asymptotic Technique Codes	p. 149
Results Obtained with FASANT	p. 150
Radiation Pattern of Antennas On-Board the Jason and Stentor Satellites	p. 151
Radiation Pattern of Antennas On-Board the International Space Station (ISS)	p. 165
Satellite Indoor Reception in Vienna	p. 177
Wind Turbines	p. 184
Results Obtained with POGCROS and Numerical Evaluation of the PO Integral	p. 190
RCS of a Scud Missile	p. 191
Analysis of the Range-Profile Image of the Tabarca Ship	p. 196
Cavity Analysis	p. 200
Analysis of a Reflector Antenna	p. 202
References	p. 207
About the Authors	p. 209
Index	p. 213
Table of Contents provided by Ingram. All Rights Reserved.

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Practical Applications of Asymptotic Techniques in Electromagnetics

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