Fundamentals of the Physical Theory of Diffraction

Content: 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 Objects1.4 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 Solutions2.2 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 Sources4.1 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 Approximation5.2.2 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.