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Fundamentals of the Physical Theory of Diffraction

Name: Fundamentals of the Physical Theory of Diffraction
Brand: Wiley-IEEE Press
Price: 116.99 EUR
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Pyotr Ya. Ufimtsev(Autor*in)

Wiley-IEEE Press

2. Auflage

Erschienen am 15. April 2014

496 Seiten

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Inhalt

Intro
Fundamentals of the Physical Theory of Diffraction
Contents
Preface
Foreword to the First Edition
Preface to the First Edition
Acknowledgments
Introduction
1 Basic Notions in Acoustic and Electromagnetic Diffraction Problems
1.1 Formulation of the Diffraction Problem
1.2 Scattered Field in the Far Zone
1.3 Physical Optics
1.3.1 Definition of Physical Optics
1.3.2 Total Scattering Cross-Section
1.3.3 Optical Theorem
1.3.4 Introducing Shadow Radiation
1.3.5 Shadow Contour Theorem and the Total Scattering Cross-Section
1.3.6 Shadow Radiation and Reflected Field in the Far Zone
1.3.7 Shadow Radiation and Reflection from Opaque Objects
1.4 Electromagnetic Waves
1.4.1 Basic Field Equations and PO Backscattering
1.4.2 PO Field Components: Reflected Field and Shadow Radiation
1.4.3 Electromagnetic Reflection and Shadow Radiation from Opaque Objects
1.5 Physical Interpretations of Shadow Radiation
1.5.1 Shadow Field and Transverse Diffusion
1.5.2 Fresnel Diffraction and Forward Scattering
1.6 Summary of Properties of Physical Optics Approximation
1.7 Nonuniform Component of an Induced Surface Field
Problems
2 Wedge Diffraction: Exact Solution and Asymptotics
2.1 Classical Solutions
2.2 Transition to Plane Wave Excitation
2.3 Conversion of the Series Solution to The Sommerfeld Integrals
2.4 The Sommerfeld Ray Asymptotics
2.5 The Pauli Asymptotics
2.6 Uniform Asymptotics: Extension of the Pauli Technique
2.7 Fast Convergent Integrals and Uniform Asymptotics: The "Magic Zero" Procedure
Problems
3 Wedge Diffraction: The Physical Optics Field
3.1 Original PO Integrals
3.2 Conversion of PO Integrals to the Canonical Form
3.3 Fast Convergent Integrals and Asymptotics for the PO Diffracted Field
Problems
4 Wedge Diffraction: Radiation by Fringe Components of Surface Sources
4.1 Integrals and Asymptotics
4.2 Integral Forms of Functions and
4.3 Oblique Incidence of a Plane Wave at a Wedge
4.3.1 Acoustic Waves
4.3.2 Electromagnetic Waves
Problems
5 First-Order Diffraction at Strips and Polygonal Cylinders
5.1 Diffraction at a Strip
5.1.1 Physical Optics Part of a Scattered Field
5.1.2 Total Scattered Field
5.1.3 Numerical Analysis of a Scattered Field
5.1.4 First-Order PTD with Truncated Scattering Sources
5.2 Diffraction at a Triangular Cylinder
5.2.1 Symmetric Scattering: PO Approximation
5.2.2 Backscattering: PO Approximation
5.2.3 Symmetric Scattering: First-Order PTD Approximation
5.2.4 Backscattering: First-Order PTD Approximation
5.2.5 Numerical Analysis of a Scattered Field
Problems
6 Axially Symmetric Scattering of Acoustic Waves at Bodies of Revolution
6.1 Diffraction at a Canonical Conic Surface
6.1.1 Integrals for the Scattered Field
6.1.2 Ray Asymptotics
6.1.3 Focal Fields
6.1.4 Bessel Interpolations for the Field
6.2 Scattering at a Disk
6.2.1 Physical Optics Approximation
6.2.2 Relationships Between Acoustic and Electromagnetic PO Fields
6.2.3 Field Generated by Fringe Scattering Sources
6.2.4 Total Scattered Field
6.3 Scattering at Cones: Focal Field
6.3.1 Asymptotic Approximations for the Field
6.3.2 Numerical Analysis of Backscattering
6.4 Bodies of Revolution with Nonzero Gaussian Curvature: Backscattered Focal Fields
6.4.1 PO Approximation
6.4.2 Total Backscattered Focal Field: First-Order PTD Asymptotics
6.4.3 Backscattering from Paraboloids
6.4.4 Backscattering from Spherical Segments
6.5 Bodies of Revolution with Nonzero Gaussian Curvature: Axially Symmetric Bistatic Scattering
6.5.1 Ray Asymptotics for the PO Field
6.5.2 Bessel Interpolations for the PO Field in the Region
6.5.3 Bessel Interpolations for the PTD Field in the Region
6.5.4 Asymptotics for the PTD Field in the Region 2 & = - Away from the GO Boundary = 2
6.5.5 Uniform Approximations for the PO Field in the Ray Region 2 = = - , Including the GO Boundary = 2
6.5.6 Approximation of the PO Field in the Shadow Region for Reflected Rays
Problems
7 Elementary Acoustic and Electromagnetic Edge Waves
7.1 Elementary Strips on a Canonical Wedge
7.2 Integrals for j(1)s,h on Elementary Strips
7.3 Triple Integrals for Elementary Edge Waves
7.4 Transformation of Triple Integrals into One-Dimensional Integrals
7.5 General Asymptotics for Elementary Edge Waves
7.6 Analytic Properties of Elementary Edge Waves
7.7 Numerical Calculations of Acoustic Elementary Fringe Waves
7.8 Electromagnetic Elementary Edge Waves
7.8.1 Electromagnetic EEWs on the Diffraction Cone Outside the Wedge
7.8.2 Electromagnetic EEWs on the Diffraction Cone Inside the Wedge
7.8.3 Numerical Calculations of Electromagnetic Elementary Fringe Waves
7.9 Improved Theory of Elementary Edge Waves: Removal of the Grazing Singularity
7.9.1 Acoustic EEWs
7.9.2 Electromagnetic EEWs Generated by the Modified Nonuniform Current
7.10 Some References Related to Elementary Edge Waves
Problems
8 Ray and Caustic Asymptotics for Edge Diffracted Waves
8.1 Ray Asymptotics
8.1.1 Acoustic Waves
8.1.2 Electromagnetic Waves
8.1.3 Comments on Ray Asymptotics
8.2 Caustic Asymptotics
8.2.1 Acoustic waves
8.2.2 Electromagnetic Waves
8.3 Relationships between PTD and GTD
Problems
9 Multiple Diffraction of Edge Waves: Grazing Incidence and Slope Diffraction
9.1 Statement of the Problem and Related References
9.2 Grazing Diffraction
9.2.1 Acoustic Waves
9.2.2 Electromagnetic Waves
9.3 Slope Diffraction in Configuration of Figure 9.1
9.3.1 Acoustic Waves
9.3.2 Electromagnetic Waves
9.4 Slope Diffraction: General Case
9.4.1 Acoustic Waves
9.4.2 Electromagnetic Waves
Problems
10 Diffraction Interaction of Neighboring Edges on a Ruled Surface
10.1 Diffraction at an Acoustically Hard Surface
10.2 Diffraction at an Acoustically Soft Surface
10.3 Diffraction of Electromagnetic Waves
10.4 Test Problem: Secondary Diffraction at a Strip
10.4.1 Diffraction at a Hard Strip
10.4.2 Diffraction at a Soft Strip
Problems
11 Focusing of Multiple Acoustic Edge Waves Diffracted at a Convex Body of Revolution with a Flat Base
11.1 Statement of the Problem and its Characteristic Features
11.2 Multiple Hard Diffraction
11.3 Multiple Soft Diffraction
Problems
12 Focusing of Multiple Edge Waves Diffracted at a Disk
12.1 Multiple Hard Diffraction
12.2 Multiple Soft Diffraction
12.3 Multiple Diffraction of Electromagnetic Waves
Problems
13 Backscattering at a Finite-Length Cylinder
13.1 Acoustic Waves
13.1.1 PO Approximation
13.1.2 Backscattering Produced by the Nonuniform Component
13.1.3 Total Backscattered Field
13.2 Electromagnetic Waves
13.2.1 E-polarization
13.2.2 H-polarization
Problems
14 Bistatic Scattering at a Finite-Length Cylinder
14.1 Acoustic Waves
14.1.1 PO Approximation
14.1.2 Shadow Radiation as a Part of the Physical Optics Field
14.1.3 PTD for Bistatic Scattering at a Hard Cylinder
14.1.4 Beams and Rays of the Scattered Field
14.1.5 PO Shooting-Through Rays and Their Cancellation by Fringe Rays
14.1.6 Refined Asymptotics for the Specular Beam Reflected from the Lateral Surface
14.2 Electromagnetic Waves
14.2.1 E-Polarization
14.2.2 H-Polarization
14.2.3 Refined Asymptotics for the Specular Beam Reflected from the Lateral Surface
Problems
Conclusion
References
Appendix MATLAB Codes for Two-Dimensional Fringe Waves and Figures
Main Program
Codes for Exact Integrals (4.16), (4.17), (4.18), and (4.19)
Codes for Directivity Patterns f(1) and g(1)
Illustrative Figures
Appendix MATLAB Codes for Axial Backscattering at Bodies of Revolution
Figure 6.10
Figure 6.11
Figure 6.12
Figure 6.14
Figure 6.15
Figure 6.16
Figure 6.18
Figure 6.19
Appendix MATLAB Codes for Diffraction Coefficients of Acoustic Elementary Fringe Waves
Appendix MATLAB Codes for Diffraction Coefficients of Electromagnetic Elementary Fringe Waves
Appendix Field dE(0)mod Radiated by Modified Uniform Currents J(0)mod Induced on Elementary Strips
Index

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