Theory of Edge Diffraction in Electromagnetics Origination and Validation of the Physical Theory of Diffraction

ISBN-10: 1891121669
ISBN-13: 9781891121661
Edition: 2009
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Description: This book is an essential resource for researchers involved in designing antennas and RCS calculations. It is also useful for students studying high frequency diffraction techniques. It contains basic original ideas of the Physical Theory of  More...

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Book details

Copyright year: 2009
Publisher: Scitech Educational, Limited
Binding: Hardcover
Pages: 422
Size: 6.25" wide x 9.25" long x 1.25" tall
Weight: 1.892
Language: English

This book is an essential resource for researchers involved in designing antennas and RCS calculations. It is also useful for students studying high frequency diffraction techniques. It contains basic original ideas of the Physical Theory of Diffraction (PTD), examples of its practical application, and its validation by the mathematical theory of diffraction. The derived analytic expressions are convenient for numerical calculations and clearly illustrate the physical structure of the scattered field. The text's key topics include: Theory of diffraction at black bodies introduces the Shadow Radiation, a fundamental component of the scattered field; RCS of finite bodies of revolution-cones, paraboloids, etc.; models of construction elements for aircraft and missiles; scheme for measurement of that part of a scattered field which is radiated by the diffraction (so-called nonuniform) currents induced on scattering objects; development of the parabolic equation method for investigation of edge-diffraction; and a new exact and asymptotic solutions in the strip diffraction problems, including scattering at an open resonator.

Richard Moore holds an M.D. from the Indiana University School of Medicine and a Ph.D. in biophysics from Purdue University. He has been a professor of biophysics at the State University of New York at Plattsburgh and a visiting professor at the University of Vermont's medical school. He has been active in the field of biomedical research for over thirty years.

Foreword
Preface from the Editor
Translator's Note
Acknowledgments
Introduction
Review of Edge Diffraction Techniques
Diffraction of Electromagnetic Waves at Black Bodies: Generalization of Kirchhoff-Kottler Theory
Black Bodies
Vector Analog of Helmholtz Theorems
Definition of the Black Body and the Shadow Contour Theorem
Complementary Principle for Thin Black Screens
Total Scattering Cross Section for Black Bodies
Black Half-Plane
Black Strip and Black Disk
Physical Model of a Black Body
Observation
Fundamental Properties of Scattering from Black Bodies
Edge Diffraction at Convex Perfectly Conducting Bodies: Elements of the Physical Theory of Diffraction
Uniform and Nonuniform Currents
Edge Waves Scattered by a Wedge
Diffraction at a Circumferential Edge
Cones
Paraboloids of Revolution
Spherical Surfaces
Additional Comments
Edge Diffraction at Concave Surfaces: Extension of the Physical Theory of Diffraction
Field Inside a Wedge-Shaped Horn
Diffraction at a Circumferential Edge of a Concave Surface of Revolution
Field of a Reflected Conical Wave
Radar Cross Section of a Conical Body
Numerical Calculation of Radar Cross Section
Additional Comments
Measurement of Radiation from Diffraction / Nonuniform Currents
Backscattering of Waves with Circular Polarization
Depolarization of Backscattering
Fundamental Results
Analysis of Wedge Diffraction Using the Parabolic Equation Method
Parabolic Equation
Formulation of the Problem
Solution of the Parabolic Equation
Asymptotic Expansion for W(r, �)
Reflection Method
Transverse Diffusion and Diffraction of Cylindrical Waves at a Wedge
Additional Comments
Current Waves on Thin Conductors and Strips
Excitation of an Infinite Conductor by a Point Source
Transmitting Dipole
Excitation of a Semi-Infinite Conductor by a Plane Wave
Passive Dipole
The Near Field
Waves of Current on a Strip
Fundamental Results
Additional References
Radiation of Edge Waves: Theory Based on the Reciprocity Theorem
Calculation of the Far Field
Radiation from a Transmitting Dipole
First and Second-Order Diffraction at a Passive Dipole
Multiple Diffraction of Edge Waves
Total Scattered Field
Short, Passive Dipole
Results of Numerical Calculations
Radiation of Edge Waves from a Strip
Conclusion
Functional and Integral Equations for Strip Diffraction (Neumann Boundary Problem)
Asymptotic Solutions for Strip Diffraction
Symmetry of Edge Waves
Formulation and Solution of the Functional Equations
Scattering Pattern and the Edge Wave Equation
Infinite Series for the Current and Its Properties
Convergence of Infinite Series for the Current
Integral Equation for the Current and Schwarzschild's Solution
Integral Equation Resulting from the Solution of Functional Equations (8.3.10)
Integral Equation Resulting from Schwarzschild's Solution
Equivalency of Kernels K(x,z) and K (x,z)
Transformation of Equation (8.5.2) into Equation (8.5.10)
Asymptotic Representation for the Current Density on a Strip
Lemmas on Asymptotic Series for Multiple Integrals
Asymptotic Series for �<sub>n</sub>
Estimates of �<sub>q</sub><sup>(m)</sup>(q,�), �(kz,1), and �<sub>m</sub>(kz)
Asymptotic Representation for �<sub>n</sub>
First-Order Approximation for the Current
N<sup>th</sup> Order Approximation for the Current
Derivation of an Approximate Formula
Verification of the Edge Conditions
Estimate of the Error
Asymptotic Representation for the Scattering Pattern
Exact Expressions for the Scattering Pattern and Some Properties of �<sub>n</sub>(�, �<sub>0</sub>)
Asymptotic Representations for �<sub>n</sub>(�,�<sub>0</sub>)
Asymptotic Series for �<sub>n</sub>(�, �<sub>0</sub>)
Estimate of U<sub>n,2</sub>(�, �<sub>0</sub>)
Asymptotic Representation for �<sub>m+n</sub>(�,�<sub>0</sub>)
First-Order Approximation for the Scattering Pattern
N<sup>th</sup>-Order Approximation for the Scattering Pattern
Derivation of an Approximate Formula
Verification of the Boundary Conditions
Estimate of the Error
Total Scattering Cross Section
Relationship Between Approximations for the Current and the Scattering Pattern
Additional Comments
Plane Wave Diffraction at a Strip Oriented in the Direction of Polarization (Dirichlet Boundary Problem)
Formulation and Solution of the Functional Equations
Scattering Pattern and the Edge Wave Equation
Infinite Series and the Integral Equation for the Current
Series of Functions �<sub>n</sub>(z, �<sub>0</sub>) and Some of Their Properties
Integral Equation for the Current
Asymptotic Representation for �<sub>n</sub>(z, �)
First-Order Approximation for the Current
N<sup>th</sup>-Order Approximation for the Current
Scattering Pattern Represented by a Series of Functions �<sub>n</sub>(�, �<sub>0</sub>)
Asymptotic Representation for �<sub>n</sub>(�,�<sub>0</sub>)
First-Order Approximation for the Scattering Pattern
N<sup>th</sup>-Order Approximation for the Scattering Pattern
Relationship Between the Approximations for the Current and the Scattering Pattern
Fundamental Results of the Mathematical Theory of Edge Diffraction
Edge Diffraction at Open-Ended Parallel Plate Resonator
Derivation of the Fundamental Functional Equations
Formulation and Solution of the Functional Equations for Edge Waves
Rigorous Expressions for the Diffracted Field in the Far Zone and Interior to the Resonator
Physical Interpretation and Asymptotic Expressions for F<sub>n</sub>(w,u)
Approximate Expressions for the Scattering Pattern and Amplitude of Edge Waves
Resonant Part of the Field Inside the Resonator
Radiation and Scattering from an Open Resonator
Results of Numerical Calculations
Fundamental Results
Additional Comments
Conclusions
References
Appendix: Relationships Between the Gaussian System (GS) and the System International (SI) for Electromagnetic Units
Index

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