Practical Applications of Asymptotic Techniques in Electromagnetics -- Contents -- Preface -- Chapter 1 Introduction -- 1.1 ASYMPTOTIC TECHNIQUES AND REAL-WORLD PROBLEMS -- 1.2 STRUCTURE OF THIS BOOK -- References -- Chapter 2 Geometric Description of the Bodies and Computation of Geometric Parameters -- 2.1 OVERVIEW OF THE GEOMETRIC MODELING OF COMPLEX OBJECTS -- 2.2 RATIONAL BEZIER CURVES -- 2.3 RATIONAL B-SPLINE CURVES -- 2.4 RATIONAL BEZIER SURFACES -- 2.5 RATIONAL B-SPLINE SURFACES -- 2.6 TRANSFORMATION FROM NURBS REPRESENTATION TO BEZIER REPRESENTATION -- 2.7 COMPUTATION OF GEOMETRIC PARAMETERS ON BEZIER SURFACES -- 2.7.1 Computation of Unit Normal Vectors -- 2.7.2 Computation of Principal Curvature Radii and Principal Directions -- References -- Chapter 3 Geometrical Optics and Uniform Theory of Diffraction (GO/UTD) -- 3.1 HISTORICAL OVERVIEW -- 3.2 GEOMETRICAL OPTICS EQUATIONS -- 3.2.1 Ray Trajectory -- 3.2.2 Polarization -- 3.2.3 Phase -- 3.2.4 Amplitude -- 3.3 DIRECT RAY -- 3.3.1 Electromagnetic Field Calculation -- 3.3.2 Determination of the Direct Rays -- 3.4 REFLECTED FIELD -- 3.4.1 Electromagnetic Field Calculation -- 3.4.2 Determining Reflected Rays and Computing Reflection Points -- 3.5 DIFFRACTED FIELD -- 3.5.1 Electromagnetic Field Calculation -- 3.5.2 Determining Diffracted Rays and Computing Diffraction Points -- 3.6 DOUBLE EFFECTS -- 3.6.1 Electromagnetic Field Calculation -- 3.6.2 Determining Double Effect Rays -- 3.7 CREEPING WAVES -- 3.7.1 Electromagnetic Field Calculation -- 3.7.2 Determining Creeping Wave Trajectories -- References -- Chapter 4 Physical Optics and Physical Theory of Diffraction (PO/PTD) -- 4.1 INTRODUCTION TO PO/PTD -- 4.2 PHYSICAL OPTICS FOUNDATIONS -- 4.3 METHODS TO CALCULATE THE PO INTEGRAL FOR COMPLEX BODIES -- 4.3.1 Numerical Integration -- 4.3.2 Ludwig Method -- 4.3.3 Method of Plane Facets.

4.3.4 Method of Numerical Quadrature -- 4.3.5 Method of the Graphical Processing of the Image -- 4.3.6 Current Modes -- 4.4 THE STATIONARY PHASE METHOD -- 4.5 APPLICATION OF PO TO THE COMPUTATION OF HIGHER-ORDER REFLECTIONS -- 4.5.1 Multiple Reflections Between Plane Surfaces -- 4.5.2 Double Reflection Between a Plane Surface and a Curved Surface -- 4.5.3 Double Reflection Between Curved Surfaces Using the SPM -- 4.6 PHYSICAL THEORY OF DIFFRACTION AND THE EQUIVALENT CURRENT METHOD -- 4.7 INTRODUCTION OF RADAR ABSORBING MATERIALS (RAM) IN THE PO FORMULATION -- References -- Chapter 5 Acceleration Techniques -- 5.1 ACCELERATION TECHNIQUES APPLIED TO HIGH-FREQUENCY PROBLEMS -- 5.2 ELIMINATION OF SURFACES USING SIMPLE CRITERIA -- 5.2.1 Normal Vector Criterion -- 5.2.2 Intersection with the Bounding Box -- 5.3 CLASSICAL TECHNIQUES FOR THE RAY-TRACING ACCELERATION FOR THE SHADOWING TEST -- 5.3.1 The Angular Z-Buffer (AZB) Algorithm -- 5.3.2 Space Volumetric Partitioning (SVP) -- 5.4 APPLICATION OF THE AZB TO BODIES MODELED BY PARAMETRIC SURFACES -- 5.4.1 Application to the Shadowing of the Direct Ray -- 5.4.2 Application to the Shadowing of an Intermediate Ray -- 5.4.3 Application to the Determination of the Reflection Points -- 5.4.4 Application to Multiple-Order Reflections -- 5.4.5 Application to the Shadowing of the Diffracted Ray -- 5.5 COMBINATION OF AZB-SVP FOR THE ANALYSIS IN THE NEAR ZONE -- 5.6 APPLICATION OF AZB FOR THE ANALYSIS OF THE RCS -- 5.6.1 Application to Plane Facets -- 5.6.2 Application to Curved Surfaces -- 5.6.3 Application to Double- and Higher-Order Effects Between Plane Facets -- References -- Chapter 6 Applications -- 6.1 OVERVIEW OF ASYMPTOTIC TECHNIQUE CODES -- 6.2 RESULTS OBTAINED WITH FASANT -- 6.2.1 Radiation Pattern of Antennas On-Board the Jason and Stentor Satellites.

6.2.2 Radiation Pattern of Antennas On-Board the International Space Station (ISS) -- 6.2.3 Satellite Indoor Reception in Vienna -- 6.2.4 Wind Turbines -- 6.3 RESULTS OBTAINED WITH POGCROS AND NUMERICAL EVALUATION OF THE PO INTEGRAL -- 6.3.1 RCS of a Scud Missile -- 6.3.2 Analysis of the Range-Profile Image of the Tabarca Ship -- 6.3.3 Cavity Analysis -- 6.3.4 Analysis of a Reflector Antenna -- References -- About the Authors -- Index.