Pyotr Ya. Ufimtsev

Physical Theory of Diffraction

• Gebundenes Buch

Produktbeschreibung

A complete presentation of the modern physical theory of diffraction and its applications, by the world's leading authority on the topic, Physical Theory of Diffraction, Second Edition is a must-have for graduate students, researchers, and engineers in academia and industry. Readers develop the skills to apply PTD to solve various scattering problems. 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.

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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

Produktdetails

• Verlag: IEEE Press / Wiley & Sons
• 2. Aufl.
• Seitenzahl: 496
• Erscheinungstermin: 9. Mai 2014
• Englisch
• Abmessung: 240mm x 161mm x 31mm
• Gewicht: 906g
• ISBN-13: 9781118753668
• ISBN-10: 1118753666
• Artikelnr.: 40553359

Autorenporträt

PYOTR YA. UFIMTSEV, PhD, D.Sc, has been recognized for his outstanding work in the theory of diffraction and propagation of electromagnetic and acoustic waves. Dr. Ufimtsev has been affiliated with the Central Research Radio Engineering Institute of the USSR Defense Ministry, Moscow; the Institute of Radio Engineering and Electronics of the USSR Academy of Sciences, Moscow; the Moscow Aviation Institute; and 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.

Inhaltsangabe

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 Diffraction Problems 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 Scattering Cross-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 from Opaque 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 Asymptotics 49 2.1 Classical Solutions
49 2.2 Transition to Plane Wave Excitation
55 2.3 Conversion of the Series Solution to the Sommerfeld Integrals
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 PO Diffracted Field
94 Problems
100 4 Wedge Diffraction: Radiation by Fringe Components of Surface 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 Cylinders 123 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 of Revolution 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 PO Fields
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 PTD Asymptotics
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 pi . omega <= theta <= pi
200 6.5.3 Bessel Interpolations for the PTD Field in the Region pi . omega <= theta <= pi
200 6.5.4 Asymptotics for the PTD Field in the Region 2omega 6.5.5 Uniform Approximations for the PO Field in the Ray Region 2omega <= theta <= pi . omega, Including the GO Boundary theta = 2omega
202 6.5.6 Approximation of the PO Field in the Shadow Region for Reflected Rays
205 Problems
207 7 Elementary Acoustic and Electromagnetic Edge Waves 211 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-Dimensional Integrals
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 the Wedge
241 7.8.2 Electromagnetic EEWs on the Diffraction Cone Inside the Wedge
243 7.8.3 Numerical Calculations of Electromagnetic Elementary Fringe Waves
245 7.9 Improved Theory of Elementary Edge Waves: Removal of the Grazing Singularity
245 7.9.1 Acoustic EEWs
248 7.9.2 Electromagnetic EEWs Generated by the Modified Nonuniform Current
253 7.10 Some References Related to Elementary Edge Waves
256 Problems
257 8 Ray and Caustic Asymptotics for Edge Diffracted Waves 261 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 and Slope 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 Ruled Surface 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 a Convex 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 Disk 333 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 Cylinder 365 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 Fringe Rays
381 14.1.6 Refined Asymptotics for the Specular Beam Reflected from the 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 from the Lateral Surface
390 Problems
393 Conclusion 397 References 399 Appendix to Chapter 4: MATLAB Codes for Two-Dimensional Fringe Waves and Figures (F. Hacivelioglu and L. Sevgi) 411 Appendix to Chapter 6: MATLAB Codes for Axial Backscattering at Bodies of Revolution (F. Hacivelioglu and L. Sevgi) 431 Appendix to Section 7.7: MATLAB Codes for Diffraction Coefficients of Acoustic Elementary Fringe Waves (F. Hacivelioglu and L. Sevgi) 439 Appendix to Section 7.8.3: MATLAB Codes for Diffraction Coefficients of Electromagnetic Elementary Fringe Waves (F. Hacivelioglu and L. Sevgi) 443 Appendix to Section 7.9.2: Field dE(0)mod Radiated by Modified Uniform Currents J(0)mod Induced on Elementary Strips (P. Ya. Ufimtsev) 447 Index 451