Overview

The book is a complete, comprehensive description of the modern Physical Theory of Diffraction (PTD) based upon the concept of elementary edge waves. The theory is demonstrated with examples of the diffraction of acoustic and electromagnetic waves at perfectly reflecting objects.Readers develop the skills to apply PTD to solve various scattering problems. The derived analytic expressions clearly illustrate the physical structure of the scattered field. They additionally describe all of the reflected and diffracted rays and beams, as well as the fields in the vicinity of caustics and foci. Shadow radiation, a fundamental component of PTD, is introduced and proven to contain half the total scattered power. The equivalence relationships between acoustic and electromagnetic diffracted waves are established and emphasized. Throughout the book, the author enables readers to master both the theory and its practical applications. Plotted numeric results supplement the theory and facilitate the visualization of individual contributions of distinct parts of the scattering objects to the total diffracted field Detailed comments help readers understand and implement all the critical steps of the analytic and numeric calculations Problem sets in each chapter give readers an opportunity to analyse and investigate the diffraction phenomena

Full Product Details

Author:   Pyotr Ya Ufimtsev ,  Pyotr Ya Ufimtsev
Publisher:   John Wiley & Sons Inc
Imprint:   Wiley-IEEE Press
Edition:   2nd Revised edition
ISBN:  

9781118753712

ISBN 10:   1118753712
Pages:   496
Publication Date:   15 April 2014
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Electronic book text
Publisher's Status:   Active
Availability:   Available To Order  
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Table of Contents

Preface xiii Foreword to the First Edition xv Preface to the First Edition xix Acknowledgments xxi Introduction xxiii 1 Basic Notions in Acoustic and Electromagnetic DiffractionProblems 1 1.1 Formulation of the Diffraction Problem / 1 1.2 Scattered Field in the Far Zone / 3 1.3 Physical Optics / 7 1.3.1 Definition of Physical Optics / 7 1.3.2 Total Scattering Cross-Section / 10 1.3.3 Optical Theorem / 11 1.3.4 Introducing Shadow Radiation / 12 1.3.5 Shadow Contour Theorem and the Total ScatteringCross-Section / 17 1.3.6 Shadow Radiation and Reflected Field in the Far Zone /20 1.3.7 Shadow Radiation and Reflection from Opaque Objects /22 1.4 Electromagnetic Waves / 23 1.4.1 Basic Field Equations and PO Backscattering / 23 1.4.2 PO Field Components: Reflected Field and Shadow Radiation/ 26 1.4.3 Electromagnetic Reflection and Shadow Radiation fromOpaque Objects / 28 1.5 Physical Interpretations of Shadow Radiation / 31 1.5.1 Shadow Field and Transverse Diffusion / 31 1.5.2 Fresnel Diffraction and Forward Scattering / 32 1.6 Summary of Properties of Physical Optics Approximation /32 1.7 Nonuniform Component of an Induced Surface Field / 33 Problems / 36 2 Wedge Diffraction: Exact Solution and Asymptotics49 2.1 Classical Solutions / 49 2.2 Transition to Plane Wave Excitation / 55 2.3 Conversion of the Series Solution to the SommerfeldIntegrals / 57 2.4 The Sommerfeld Ray Asymptotics / 61 2.5 The Pauli Asymptotics / 63 2.6 Uniform Asymptotics: Extension of the Pauli Technique /68 2.7 Fast Convergent Integrals and Uniform Asymptotics: The Magic Zero Procedure / 72 Problems / 76 3 Wedge Diffraction: The Physical Optics Field 87 3.1 Original PO Integrals / 87 3.2 Conversion of PO Integrals to the Canonical Form / 90 3.3 Fast Convergent Integrals and Asymptotics for the PODiffracted Field / 94 Problems / 100 4 Wedge Diffraction: Radiation by Fringe Components ofSurface Sources 103 4.1 Integrals and Asymptotics / 104 4.2 Integral Forms of Functions f (1) and g(1) / 112 4.3 Oblique Incidence of a Plane Wave at a Wedge / 114 4.3.1 Acoustic Waves / 114 4.3.2 Electromagnetic Waves / 118 Problems / 120 5 First-Order Diffraction at Strips and Polygonal Cylinders123 5.1 Diffraction at a Strip / 124 5.1.1 Physical Optics Part of the Scattered Field / 124 5.1.2 Total Scattered Field / 128 5.1.3 Numerical Analysis of the Scattered Field / 132 5.1.4 First-Order PTD with Truncated Scattering Sources j(1) h /135 5.2 Diffraction at a Triangular Cylinder / 140 5.2.1 Symmetric Scattering: PO Approximation / 141 5.2.2 Backscattering: PO Approximation / 143 5.2.3 Symmetric Scattering: First-Order PTD Approximation /145 5.2.4 Backscattering: First-Order PTD Approximation / 148 5.2.5 Numerical Analysis of the Scattered Field / 150 Problems / 152 6 Axially Symmetric Scattering of AcousticWaves at Bodies ofRevolution 157 6.1 Diffraction at a Canonical Conic Surface / 158 6.1.1 Integrals for the Scattered Field / 159 6.1.2 Ray Asymptotics / 160 6.1.3 Focal Fields / 166 6.1.4 Bessel Interpolations for the Field u(1) s,h / 167 6.2 Scattering at a Disk / 169 6.2.1 Physical Optics Approximation / 169 6.2.2 Relationships Between Acoustic and Electromagnetic POFields / 171 6.2.3 Field Generated by Fringe Scattering Sources / 172 6.2.4 Total Scattered Field / 173 6.3 Scattering at Cones: Focal Field / 176 6.3.1 Asymptotic Approximations for the Field / 176 6.3.2 Numerical Analysis of Backscattering / 179 6.4 Bodies of Revolution with Nonzero Gaussian Curvature:Backscattered Focal Fields / 183 6.4.1 PO Approximation / 184 6.4.2 Total Backscattered Focal Field: First-Order PTDAsymptotics / 186 6.4.3 Backscattering from Paraboloids / 186 6.4.4 Backscattering from Spherical Segments / 192 6.5 Bodies of Revolution with Nonzero Gaussian Curvature:Axially Symmetric Bistatic Scattering / 196 6.5.1 Ray Asymptotics for the PO Field / 196 6.5.2 Bessel Interpolations for the PO Field in the Region / 200 6.5.3 Bessel Interpolations for the PTD Field in the Region / 200 6.5.4 Asymptotics for the PTD Field in the Region 2 < Away from the GO Boundary = 2 / 201 6.5.5 Uniform Approximations for the PO Field in the Ray Region2 , Including the GO Boundary = 2 /202 6.5.6 Approximation of the PO Field in the Shadow Region forReflected Rays / 205 Problems / 207 7 Elementary Acoustic and Electromagnetic Edge Waves211 7.1 Elementary Strips on a Canonical Wedge / 212 7.2 Integrals for j(1) s,h on Elementary Strips / 213 7.3 Triple Integrals for Elementary Edge Waves / 217 7.4 Transformation of Triple Integrals into One-DimensionalIntegrals / 220 7.5 General Asymptotics for Elementary Edge Waves / 225 7.6 Analytic Properties of Elementary Edge Waves / 230 7.7 Numerical Calculations of Acoustic Elementary Fringe Waves /234 7.8 Electromagnetic Elementary Edge Waves / 237 7.8.1 Electromagnetic EEWs on the Diffraction Cone Outside theWedge / 241 7.8.2 Electromagnetic EEWs on the Diffraction Cone Inside theWedge / 243 7.8.3 Numerical Calculations of Electromagnetic ElementaryFringe Waves / 245 7.9 Improved Theory of Elementary Edge Waves: Removal of theGrazing Singularity / 245 7.9.1 Acoustic EEWs / 248 7.9.2 Electromagnetic EEWs Generated by the Modified NonuniformCurrent / 253 7.10 Some References Related to Elementary Edge Waves / 256 Problems / 257 8 Ray and Caustic Asymptotics for Edge Diffracted Waves261 8.1 Ray Asymptotics / 261 8.1.1 Acoustic Waves / 261 8.1.2 Electromagnetic Waves / 266 8.1.3 Comments on Ray Asymptotics / 267 8.2 Caustic Asymptotics / 269 8.2.1 Acoustic waves / 269 8.2.2 Electromagnetic Waves / 274 8.3 Relationships between PTD and GTD / 275 Problems / 276 9 Multiple Diffraction of Edge Waves: Grazing Incidence andSlope Diffraction 285 9.1 Statement of the Problem and Related References / 285 9.2 Grazing Diffraction / 286 9.2.1 Acoustic Waves / 286 9.2.2 Electromagnetic Waves / 290 9.3 Slope Diffraction in Configuration of Figure 9.1 / 292 9.3.1 Acoustic Waves / 292 9.3.2 Electromagnetic Waves / 295 9.4 Slope Diffraction: General Case / 296 9.4.1 Acoustic Waves / 296 9.4.2 Electromagnetic Waves / 299 Problems / 302 10 Diffraction Interaction of Neighboring Edges on a RuledSurface 305 10.1 Diffraction at an Acoustically Hard Surface / 306 10.2 Diffraction at an Acoustically Soft Surface / 309 10.3 Diffraction of Electromagnetic Waves / 312 10.4 Test Problem: Secondary Diffraction at a Strip / 314 10.4.1 Diffraction at a Hard Strip / 314 10.4.2 Diffraction at a Soft Strip / 317 Problems / 318 11 Focusing of Multiple Acoustic Edge Waves Diffracted at aConvex Body of Revolution with a Flat Base 325 11.1 Statement of the Problem and its Characteristic Features /325 11.2 Multiple Hard Diffraction / 327 11.3 Multiple Soft Diffraction / 328 Problems / 330 12 Focusing of Multiple Edge Waves Diffracted at a Disk333 12.1 Multiple Hard Diffraction / 334 12.2 Multiple Soft Diffraction / 336 12.3 Multiple Diffraction of Electromagnetic Waves / 340 Problems / 341 13 Backscattering at a Finite-Length Cylinder 343 13.1 Acoustic Waves / 343 13.1.1 PO Approximation / 343 13.1.2 Backscattering Produced by the Nonuniform Component j(1)/ 347 13.1.3 Total Backscattered Field / 352 13.2 Electromagnetic Waves / 354 13.2.1 E-polarization / 354 13.2.2 H-polarization / 360 Problems / 362 14 Bistatic Scattering at a Finite-Length Cylinder365 14.1 Acoustic Waves / 365 14.1.1 PO Approximation / 366 14.1.2 Shadow Radiation as a Part of the Physical Optics Field /368 14.1.3 PTD for Bistatic Scattering at a Hard Cylinder / 370 14.1.4 Beams and Rays of the Scattered Field / 376 14.1.5 PO Shooting-Through Rays and Their Cancellation by FringeRays / 381 14.1.6 Refined Asymptotics for the Specular Beam Reflected fromthe Lateral Surface / 382 14.2 Electromagnetic Waves / 386 14.2.1 E-Polarization / 386 14.2.2 H-Polarization / 388 14.2.3 Refined Asymptotics for the Specular Beam Reflected fromthe Lateral Surface / 390 Problems / 393 Conclusion 397 References 399 Appendix to Chapter 4: MATLAB Codes for Two-Dimensional FringeWaves and Figures (F. Hacivelioglu and L. Sevgi) 411 Appendix to Chapter 6: MATLAB Codes for Axial Backscattering atBodies of Revolution (F. Hacivelioglu and L. Sevgi) 431 Appendix to Section 7.7: MATLAB Codes for DiffractionCoefficients of Acoustic Elementary Fringe Waves (F. Haciveliogluand L. Sevgi) 439 Appendix to Section 7.8.3: MATLAB Codes for DiffractionCoefficients of Electromagnetic Elementary Fringe Waves (F.Hacivelioglu and L. Sevgi) 443 Appendix to Section 7.9.2: Field d E (0) mod Radiated byModified Uniform Currents J (0) mod Induced on ElementaryStrips (P. Ya. Ufimtsev) 447 Index 451

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Pyotr Ya. Ufimtsev has been recognized for hisoutstanding work in the theory of diffraction and propagation ofelectromagnetic and acoustic waves. Dr. Ufimtsev has beenaffiliated with the Central Research Radio Engineering Institute ofthe USSR Defense Ministry, Moscow; the Institute of RadioEngineering and Electronics of the USSR Academy of Sciences, Moscow; the Moscow Aviation Institute; and the University ofCalifornia at Los Angeles and Irvine. Among Dr. Ufimtsev'smany honors and awards are the USSR State Prize and the LeroyRandle Grumman Medal.

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