Electromagnetic Diffraction Modeling and Simulation using MATLAB(2021)[Apaydin][9781630817794]

This exciting new resource presents a comprehensive introduction to the fundamentals of diffraction of two-dimensional canonical structures, including wedge, strip, and triangular cylinder with different boundary conditions. Maxwell equations are discussed, along with wave equation and scattered, diffracted and fringe fields. Geometric optics, as well as the geometric theory of diffraction are explained. With MATLAB scripts included for several well-known electromagnetic diffraction problems, this book discusses diffraction fundamentals of two-dimensional structures with different boundary conditions and analytical numerical methods that are used to show diffraction.The book introduces fundamental concepts of electromagnetic problems, identities, and definitions for diffraction modeling. Basic coordinate systems, boundary conditions, wave equation, and Green’s function problem are given. The scattered fields, diffracted fields, and fringe fields, radar cross section for diffraction modeling are presented. Behaviors of electromagnetic waves around the two-dimensional canonical wedge and canonical strip are also explored. Diffraction of trilateral cylinders and wedges with rounded edges is investigated as well as double tip diffraction using Finite Difference Time Domain and Method of Moments. A MATLAB based virtual tool, developed with graphical user interface (GUI), for the visualization of both fringe currents and fringe waves is included, using numerical FDTD and MoM algorithm and High-Frequency Asymptotics approaches. Artech House Electromagnetics Series Electromagnetic Diffraction Modeling and Simulation with MATLAB 1 Contents 6 Preface 10 Acknowlegments 12 Chapter 1 Introduction 16 1.1 Maxwell Equations 16 1.1.1 Two-Dimensional Maxwell Equations in a Cartesian Coordinate System 18 1.2 Wave Equation 21 1.3 Boundary Conditions 22 1.4 Green’s Function Problem 23 1.5 Scattered Fields, Diffracted Fields, Fringe Fields 23 1.6 EM Wave-Object Interaction: Radar Cross Section 24 1.7 Problem Modeling 25 1.8 Summary 26 References 27 Chapter 2 Two-Dimensional Canonical Wedge Problem 28 2.1 Introduction and 2-D Wedge Structure 28 2.1.1 Source Placement 29 2.2 Exact Solution and High-Frequency Asymptotics 31 2.2.1 Geometric Optics 36 2.2.2 Physical Optics 39 2.2.3 Physical Theory of Diffraction 41 2.2.4 Geometric Theory of Diffraction 45 2.2.5 Uniform Theory of Diffraction 46 2.2.6 Brief Summary and Conclusions 46 2.3 Numerical Methods 47 2.3.1 Method of Moments 47 2.3.2 Finite Difference Time Domain 71 2.4 Summary 78 References 79 Chapter 3 Two-Dimensional Canonical Strip Problem 82 3.1 Introduction 82 3.1.1 The Strip Problem 83 3.2 Physical Theory of Diffraction 85 3.2.1 Backscattering by a Soft Strip (SBC) 85 3.2.2 Backscattering by a Hard Strip (HBC) 85 3.2.3 Backscattering by a Soft-Hard Strip (SHBC) 85 3.3 Method of Moments 86 3.3.1 Backscattering by a Soft Strip (SBC) 87 3.3.2 Backscattering by a Hard Strip (HBC) 87 3.3.3 Backscattering by a Soft-Hard Strip (SHBC) 88 3.4 Finite Difference Time Domain 96 3.5 Summary 101 References 101 Chapter 4 Two-Dimensional Canonical Triangular Cylinder Problem 104 4.1 Introduction 104 4.2 Physical Theory of Diffraction 106 4.3 Summary 113 References 114 Chapter 5 Diffraction at a Rectangular Plate 116 5.1 Introduction 116 5.2 Scattering at Leading and Trailing Edges 117 5.3 Scattering at Side Edges 125 5.4 Backscattering in the Direction Normal to the Plate 127 5.5 Numerical Results 128 5.6 Summary 134 References 135 Appendix 5A: Functions B1,2,3 136 Chapter 6 Diffraction with Rounded Edges 138 6.1 Introduction 138 6.2 Wedge with Rounded Edges 138 6.3 Trilateral Cylinder with Rounded Edges 151 6.4 Summary 162 References 162 Chapter 7 Double-Tip Diffraction Modeling 166 7.1 Introduction 166 7.2 Double-Tip Diffraction Structure 167 7.3 FDTD-Based Diffraction Modeling 169 7.4 MoM-Based Diffraction Modeling 171 7.5 Examples and Comparisons 174 7.6 Summary 179 References 180 Chapter 8 WedgeGUI Virtual Package 184 8.1 Introduction 184 8.2 WedgeGUI Software 185 8.3 Characteristic Examples 186 8.4 Summary 191 References 191 Chapter 9 FringeGUI Virtual Package 192 9.1 Introduction 192 9.2 FRINGEGUI Software 193 9.3 Characteristic Examples 196 9.4 Summary 204 References 204 Chapter 10 WedgeTOOL Virtual Package 206 10.1 Introduction 206 10.1.1 Wedge Diffraction Modeling 206 10.1.2 Finite Difference Time Domain Modeling 207 10.1.3 Method of Moments Modeling 208 10.2 WedgeTOOL Software 208 10.3 Characteristic Examples 210 10.4 Summary 212 References 212 Selected Bibliography 214 List of Acronyms 216 About the Authors 218 Index 220 MATLAB;,Electromagnetics;,Diffraction,modeling;,Diffraction,simulation;,Artech,House;,978-1-63081-779-4 MATLAB,Electromagnetics,Diffraction modeling,Diffraction simulation,Artech House,978-1-63081-779-4