Scattering of Electromagnetic Waves by Obstacles

Description

Electromagnetic (EM) wave scattering is of fundamental importance to antenna and radar design engineering, and the increasing interest in metamaterials has created a need for new approaches to solving scattering problems for characterizing engineered media. This book lays the theoretical foundation for new computer programs in computational electromagnetics (CEM) and meets the need of today’s researchers. This book represents over 30 years of the author’s experience teaching this topic, with extensive lectures notes expanded to include advanced concepts and mathematical solutions to cover modern effects on metamaterials and related advanced complexities. Problems and solutions at the end of each chapter help to reinforce concepts and highlight applications. This is an ideal text for advanced graduate students and researchers in EM and applied physics Content: Preface Foreword Acknowledgment 1. Basic Equations 1.1. The Maxwell Equations 1.2. Constitutive Relations 1.3. Time-Harmonic Fields and Fourier Transform 1.4. Coherence and Degree of Polarization Problems for Chapter 1 2. The Green Functions and Dyadics 2.1. The Green Functions in Isotropic Media 2.2. The Green Dyadics in Isotropic Media 2.3. The Green Dyadic in Anisotropic Media 2.4. The Green Dyadic in Biisotropic Media 2.5. Cerenkov Radiation 2.6. Time-Domain Problem Problems for Chapter 2 3. Integral Representation of Fields 3.1. Two Scalar Fields. 3.2. Vector and Scalar Fields3.3. Integral Representations of the Maxwell Equations 3.4. Dyadic and Vector Fields 3.5. Limit Values of the Scalar Integral Representations 3.6. Limit Values of the Vector Integral Representations-Vector Version 3.7. Limit Values of the Vector Integral Representations-Dyadic Version 3.8. Integral Representation for Biisotropic Materials 3.9. Integral Representations in the Time Domain Problems for Chapter 3 4. Introductory Scattering Theory 4.1. The Far Zone 4.2. Cross Sections 4.3. Scattering Dyadic (Matrix) 4.4. Optical Theorem. 4.5. Plane Interface Case and Babinet's PrincipleProblems for Chapter 4 5. Scattering in the Time Domain 5.1. The Scattering Problem 5.2. Energy Balance in the Time Domain 5.3. Connection to the Time-Harmonic Results 5.4. Optical Theorem 5.5. Some Applications of the Optical Theorem Problems for Chapter 5 6. Approximations and Applications 6.1. Long Wavelength Approximation 6.2. Weak-Scatterer Approximation 6.3. High-Frequency Approximation 6.4. Sum Rule for the Extinction Cross Section 6.5. Scattering by Many Scatterers-Multiple Scattering Problems for Chapter 6. 7. Spherical Vector Waves7.1. Preparatory Discussions 7.2. Definition of Spherical Vector Waves 7.3. Orthogonality and Reciprocity Relations 7.4. Some Properties of the Spherical Vector Waves 7.5. Expansion of the Green Dyadic 7.6. Null-Field Equations 7.7. Expansion of Sources 7.8. Far Field Amplitude and the Transition Matrix 7.9. Dipole Moments of a Scatterer Problems for Chapter 7 8. Scattering by Spherical Objects 8.1. Scattering by a Perfectly Conducting Sphere 8.2. Scattering by a Dielectric Sphere 8.3. Scattering by Layered Spherical Objects. 8.4. Scattering by an Anisotropic Sphere8.5. Scattering by a Biisotropic Sphere Problems for Chapter 8 9. The Null-Field Approach 9.1. The T-Matrix for a Single Homogeneous Scatterer 9.2. The T-Matrix for a Collection of Scatterers 9.3. Obstacle above a Ground Plane Problems for Chapter 9 10. Propagation in Stratified Media 10.1. Basic Equations 10.2. The Fundamental Equation 10.3. Wave Splitting 10.4. Propagation of Fields-the Propagator Dyadic 10.5. Propagator Dyadics-Homogeneous Layers 10.6. Examples 10.7. Numerical Computations 10.8. Asymptotic Analysis. 10.9. The Green Dyadic.