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Foreword | |

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Preface from the Editor | |

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Translator's Note | |

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Acknowledgments | |

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Introduction | |

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Review of Edge Diffraction Techniques | |

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Diffraction of Electromagnetic Waves at Black Bodies: Generalization of Kirchhoff-Kottler Theory | |

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Black Bodies | |

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Vector Analog of Helmholtz Theorems | |

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Definition of the Black Body and the Shadow Contour Theorem | |

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Complementary Principle for Thin Black Screens | |

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Total Scattering Cross Section for Black Bodies | |

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Black Half-Plane | |

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Black Strip and Black Disk | |

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Physical Model of a Black Body | |

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Observation | |

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Fundamental Properties of Scattering from Black Bodies | |

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Edge Diffraction at Convex Perfectly Conducting Bodies: Elements of the Physical Theory of Diffraction | |

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Uniform and Nonuniform Currents | |

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Edge Waves Scattered by a Wedge | |

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Diffraction at a Circumferential Edge | |

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Cones | |

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Paraboloids of Revolution | |

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Spherical Surfaces | |

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Additional Comments | |

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Edge Diffraction at Concave Surfaces: Extension of the Physical Theory of Diffraction | |

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Field Inside a Wedge-Shaped Horn | |

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Diffraction at a Circumferential Edge of a Concave Surface of Revolution | |

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Field of a Reflected Conical Wave | |

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Radar Cross Section of a Conical Body | |

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Numerical Calculation of Radar Cross Section | |

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Additional Comments | |

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Measurement of Radiation from Diffraction / Nonuniform Currents | |

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Backscattering of Waves with Circular Polarization | |

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Depolarization of Backscattering | |

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Fundamental Results | |

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Analysis of Wedge Diffraction Using the Parabolic Equation Method | |

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Parabolic Equation | |

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Formulation of the Problem | |

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Solution of the Parabolic Equation | |

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Asymptotic Expansion for W(r, ï¿½) | |

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Reflection Method | |

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Transverse Diffusion and Diffraction of Cylindrical Waves at a Wedge | |

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Additional Comments | |

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Current Waves on Thin Conductors and Strips | |

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Excitation of an Infinite Conductor by a Point Source | |

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Transmitting Dipole | |

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Excitation of a Semi-Infinite Conductor by a Plane Wave | |

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Passive Dipole | |

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The Near Field | |

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Waves of Current on a Strip | |

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Fundamental Results | |

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Additional References | |

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Radiation of Edge Waves: Theory Based on the Reciprocity Theorem | |

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Calculation of the Far Field | |

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Radiation from a Transmitting Dipole | |

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First and Second-Order Diffraction at a Passive Dipole | |

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Multiple Diffraction of Edge Waves | |

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Total Scattered Field | |

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Short, Passive Dipole | |

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Results of Numerical Calculations | |

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Radiation of Edge Waves from a Strip | |

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Conclusion | |

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Functional and Integral Equations for Strip Diffraction (Neumann Boundary Problem) | |

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Asymptotic Solutions for Strip Diffraction | |

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Symmetry of Edge Waves | |

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Formulation and Solution of the Functional Equations | |

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Scattering Pattern and the Edge Wave Equation | |

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Infinite Series for the Current and Its Properties | |

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Convergence of Infinite Series for the Current | |

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Integral Equation for the Current and Schwarzschild's Solution | |

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Integral Equation Resulting from the Solution of Functional Equations (8.3.10) | |

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Integral Equation Resulting from Schwarzschild's Solution | |

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Equivalency of Kernels K(x,z) and K (x,z) | |

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Transformation of Equation (8.5.2) into Equation (8.5.10) | |

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Asymptotic Representation for the Current Density on a Strip | |

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Lemmas on Asymptotic Series for Multiple Integrals | |

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Asymptotic Series for ï¿½<sub>n</sub> | |

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Estimates of ï¿½<sub>q</sub><sup>(m)</sup>(q,ï¿½), ï¿½(kz,1), and ï¿½<sub>m</sub>(kz) | |

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Asymptotic Representation for ï¿½<sub>n</sub> | |

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First-Order Approximation for the Current | |

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N<sup>th</sup> Order Approximation for the Current | |

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Derivation of an Approximate Formula | |

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Verification of the Edge Conditions | |

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Estimate of the Error | |

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Asymptotic Representation for the Scattering Pattern | |

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Exact Expressions for the Scattering Pattern and Some Properties of ï¿½<sub>n</sub>(ï¿½, ï¿½<sub>0</sub>) | |

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Asymptotic Representations for ï¿½<sub>n</sub>(ï¿½,ï¿½<sub>0</sub>) | |

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Asymptotic Series for ï¿½<sub>n</sub>(ï¿½, ï¿½<sub>0</sub>) | |

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Estimate of U<sub>n,2</sub>(ï¿½, ï¿½<sub>0</sub>) | |

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Asymptotic Representation for ï¿½<sub>m+n</sub>(ï¿½,ï¿½<sub>0</sub>) | |

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First-Order Approximation for the Scattering Pattern | |

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N<sup>th</sup>-Order Approximation for the Scattering Pattern | |

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Derivation of an Approximate Formula | |

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Verification of the Boundary Conditions | |

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Estimate of the Error | |

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Total Scattering Cross Section | |

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Relationship Between Approximations for the Current and the Scattering Pattern | |

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Additional Comments | |

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Plane Wave Diffraction at a Strip Oriented in the Direction of Polarization (Dirichlet Boundary Problem) | |

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Formulation and Solution of the Functional Equations | |

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Scattering Pattern and the Edge Wave Equation | |

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Infinite Series and the Integral Equation for the Current | |

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Series of Functions ï¿½<sub>n</sub>(z, ï¿½<sub>0</sub>) and Some of Their Properties | |

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Integral Equation for the Current | |

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Asymptotic Representation for ï¿½<sub>n</sub>(z, ï¿½) | |

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First-Order Approximation for the Current | |

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N<sup>th</sup>-Order Approximation for the Current | |

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Scattering Pattern Represented by a Series of Functions ï¿½<sub>n</sub>(ï¿½, ï¿½<sub>0</sub>) | |

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Asymptotic Representation for ï¿½<sub>n</sub>(ï¿½,ï¿½<sub>0</sub>) | |

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First-Order Approximation for the Scattering Pattern | |

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N<sup>th</sup>-Order Approximation for the Scattering Pattern | |

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Relationship Between the Approximations for the Current and the Scattering Pattern | |

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Fundamental Results of the Mathematical Theory of Edge Diffraction | |

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Edge Diffraction at Open-Ended Parallel Plate Resonator | |

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Derivation of the Fundamental Functional Equations | |

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Formulation and Solution of the Functional Equations for Edge Waves | |

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Rigorous Expressions for the Diffracted Field in the Far Zone and Interior to the Resonator | |

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Physical Interpretation and Asymptotic Expressions for F<sub>n</sub>(w,u) | |

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Approximate Expressions for the Scattering Pattern and Amplitude of Edge Waves | |

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Resonant Part of the Field Inside the Resonator | |

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Radiation and Scattering from an Open Resonator | |

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Results of Numerical Calculations | |

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Fundamental Results | |

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Additional Comments | |

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Conclusions | |

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References | |

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Appendix: Relationships Between the Gaussian System (GS) and the System International (SI) for Electromagnetic Units | |

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Index | |