Fundamentals of the Physical Theory of Diffraction (Hardcover, 2)

· 제목 : Fundamentals of the Physical Theory of Diffraction (Hardcover, 2) 
· 분류 : 외국도서 > 과학/수학/생태 > 과학 > 물리학 > 전자기학
· ISBN : 9781118753668
· 쪽수 : 496쪽

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 − ≤ ≤ / 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 Region 2 ≤ ≤ − , Including the GO Boundary = 2 / 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 d⃗E (0) mod Radiated by Modified Uniform Currents ⃗J (0) mod Induced on Elementary Strips (P. Ya. Ufimtsev) 447

Index 451