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

Name: Theory of Edge Diffraction in Electromagnetics Origination and Validation of the Physical Theory of Diffraction
Price: 71.6 USD
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ISBN: 9781891121661

ISBN-10: 1891121669

ISBN-13: 9781891121661

Edition: 2009

Authors: P. Ya. Ufimtsev, Andrew J. Terzuoli, Richard D. Moore

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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 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,…

Book details

List price: $89.00
Copyright year: 2009
Publisher: SciTech Publishing, Incorporated
Binding: Hardcover
Pages: 444
Size: 6.00" wide x 9.00" long x 1.25" tall
Weight: 1.606
Language: English

Pyotr Ya. Ufimtsev, Ph.D. D.Sc. has been recognized for his outstanding work in the theory of diffraction and propagation of electromagnetic and acoustic waves. Among his groundbreaking results are the theory of diffraction at black bodies, the physical theory of diffraction, and the discovery of new phenomena related to surface waves in absorbing layers.Dr. Ufimtsev was affiliated with a number of research and academic institutions, including the Institute of Radio Engineering and Electronics of the USSR Academy of Sciences (Moscow), the Moscow Aviation Institute, the University of California at Los Angeles and Irvine. Among Dr. Ufimtsev's many honors and awards are the USSR State Prize… and the Leroy Randle Grumman Medal.

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, ï¿½)



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 ï¿½<sub>n</sub>



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



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



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



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



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



Asymptotic Representation for ï¿½<sub>m+n</sub>(ï¿½,ï¿½<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 ï¿½<sub>n</sub>(z, ï¿½<sub>0</sub>) and Some of Their Properties



Integral Equation for the Current



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



First-Order Approximation for the Current



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



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



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