| Introduction | p. 1 |
| Historical Sketch | p. 1 |
| High-Frequency Diffraction Theory | p. 2 |
| Wave Interactions at Low and Moderate Frequencies | p. 3 |
| Hybrid and Iterative Formulations | p. 4 |
| Finite-Difference Formulation | p. 6 |
| Finite-Element Formulation | p. 7 |
| Overall Perspective | p. 8 |
| Synopsis of Contemporary Approaches | p. 9 |
| Categorization of Approaches | p. 9 |
| Direct Time-Domain Techniques | p. 11 |
| Direct Frequency-Domain Techniques | p. 11 |
| High-Frequency Diffraction Techniques | p. 13 |
| Assessment of General Applicability | p. 14 |
| Maxwell's Equations | p. 19 |
| Charge Density Distributions | p. 19 |
| Electric Current Density | p. 23 |
| Electric Current Density Distributions | p. 25 |
| Continuity Equation | p. 29 |
| Maxwell's Equations--Time Domain | p. 31 |
| Summary of Electromagnetic Field Equations--Time Domain | p. 37 |
| Gauss's Law for Electromagnetic Fields | p. 42 |
| Electromagnetic Boundary Conditions | p. 43 |
| Boundary Conditions for Tangential Components | p. 44 |
| Boundary Conditions for Normal Components | p. 50 |
| Power and Energy Stored | p. 55 |
| Plane Wave Solution | p. 60 |
| Wave Equation | p. 61 |
| Solution to the Wave Equation | p. 66 |
| Vector Plane Wave Fields | p. 76 |
| Properties of Plane Wave Fields | p. 79 |
| Intrinsic Impedance of the Medium | p. 81 |
| One-Dimensional Field Problem | p. 84 |
| Electromagnetic Fields in a Lossy Medium | p. 93 |
| Finite-Difference Numerical Solution | p. 95 |
| Propagation of a Half-Sine Pulse | p. 101 |
| Frequency Domain | p. 104 |
| Sources in Frequency Domain | p. 109 |
| Electric Current Density | p. 109 |
| Continuity Equation | p. 111 |
| Maxwell's Equations in the Frequency Domain | p. 112 |
| Boundary Conditions in the Frequency Domain | p. 115 |
| Power and Energy Stored in Frequency Domain | p. 118 |
| Helmholtz Equation | p. 123 |
| Solution to the Helmholtz Equation | p. 128 |
| Propagation Constant | p. 133 |
| Electromagnetic Potentials | p. 134 |
| Static Equations | p. 141 |
| Solution for Potentials | p. 142 |
| Potential Superposition Integrals | p. 148 |
| Electric Dipole Fields | p. 151 |
| Maxwell's Equations with Magnetic Sources | p. 156 |
| Magnetic Source Distributions | p. 157 |
| Continuity Equation | p. 159 |
| Maxwell's Equations in Frequency Domain | p. 160 |
| Electromagnetic Boundary Conditions | p. 161 |
| Helmholtz Equations with Magnetic Sources | p. 165 |
| Electromagnetic Potentials with Magnetic Sources | p. 170 |
| Solution for Potentials with Magnetic Sources | p. 176 |
| Two-Dimensional Perfectly Conducting Objects: TM Polarization | p. 181 |
| General Field Equations | p. 183 |
| Fields in Terms of Potentials | p. 189 |
| Transverse Magnetic Polarization | p. 193 |
| Field Equations in the Spectral Domain | p. 197 |
| Solution for the Magnetic Vector Potential | p. 202 |
| Electric Field Integral Equation--TM Case | p. 208 |
| Equivalent Electric Current Sources | p. 215 |
| EFIE--Perfect Conductor | p. 219 |
| Method of Moments | p. 220 |
| Perfectly Conducting Circular Cylinder | p. 222 |
| Thin Conducting Wire | p. 231 |
| Near- and Far-Field Distributions | p. 232 |
| An Alternative Formulation | p. 237 |
| Arbitrary Cross Section--TM Excitation | p. 241 |
| Expansion Functions | p. 244 |
| Weighting Functions | p. 247 |
| Reduction of EFIE to a Matrix Equation | p. 249 |
| Square Conducting Cylinder | p. 257 |
| Thin-Strip Conducting Scatterer | p. 278 |
| Convergence Data | p. 285 |
| Electrically Large Objects | p. 288 |
| Spatial Decomposition Technique | p. 289 |
| Matrix Condition Number | p. 302 |
| Analysis of Apertures | p. 304 |
| Aperture Equivalences | p. 305 |
| Two-Dimensional Aperture | p. 316 |
| Aperture Integral Equation--TE Case | p. 320 |
| Two-Dimensional Perfectly Conducting Object: TE Polarization | p. 327 |
| General Field Equations | p. 328 |
| Field Equations in the Spectral Domain | p. 329 |
| Fields and Potentials | p. 333 |
| Transformed Fields in Transverse Coordinates | p. 335 |
| Transverse Electric Polarization | p. 337 |
| Transverse Electric Fields | p. 339 |
| Solution for Vector and Scalar Potentials | p. 342 |
| Integral Equations--TE Case | p. 345 |
| Equivalent Electric Current Sources | p. 351 |
| MFIE--Perfect Conductor | p. 358 |
| EFIE--Perfect Conductor | p. 361 |
| Perfectly Conducting Circular Cylinder | p. 362 |
| Alternative Formulation | p. 372 |
| Scattered Near- and Far-Field Distributions | p. 374 |
| Arbitrary Cross Section--EFIE-TE Excitation | p. 380 |
| Expansion Functions | p. 383 |
| Reduction to Matrix Equation | p. 386 |
| Square Conducting Cylinder | p. 397 |
| Thin-Strip Conducting Scatterer | p. 408 |
| Arbitrary Cross Section--MFIE-TE Excitation | p. 416 |
| Reduction to a Matrix Equation | p. 418 |
| EFIE and MFIE Validations | p. 423 |
| SDT Approach--TE Case | p. 426 |
| Analysis of Apertures | p. 436 |
| Aperture Equivalences | p. 437 |
| Two-Dimensional Aperture | p. 441 |
| Aperture Integral Equation--TM Case | p. 445 |
| Two-Dimensional Homogeneous Dielectric Object: TM and TE Polarizations | p. 451 |
| General Field Equations | p. 454 |
| Field Equations in the Spectral Domain | p. 461 |
| TM and TE Polarizations | p. 463 |
| Formulation of Integral Equations | p. 470 |
| Electromagnetic Equivalence | p. 475 |
| Exterior Equivalence | p. 479 |
| Interior Equivalence | p. 485 |
| Combined Integral Equations | p. 492 |
| CFIE--TM Case | p. 497 |
| Dielectric Circular Cylinder--TM Excitation | p. 508 |
| Scattered Field Distribution | p. 517 |
| Arbitrary Cross Section--CFIE-TM Excitation | p. 523 |
| Expansion Functions | p. 527 |
| Reduction to Partitioned Matrix Equation | p. 531 |
| Numerical Results--TM Case | p. 553 |
| Scattered Field Distributions | p. 560 |
| Far-Field Distribution | p. 564 |
| CFIE--TE Case | p. 569 |
| Dielectric Circular Cylinder--TE Excitation | p. 581 |
| Duality of the TM and TE Cases | p. 590 |
| Scattered Field Distributions | p. 591 |
| Arbitrary Cross Section--CFIE-TE Excitation | p. 595 |
| Partitioned Matrix Equation | p. 599 |
| Numerical Results--TE Case | p. 604 |
| Far-Field Distribution | p. 607 |
| Anisotropic Scatterer | p. 614 |
| Interior Equivalence | p. 618 |
| Potential Integrals--Anisotropic Medium | p. 623 |
| CFIE--Anisotropic Case | p. 624 |
| Two-Dimensional Conducting and Dielectric Layered Object: TM and TE Polarizations | p. 627 |
| Formulation of Integral Equations | p. 630 |
| Electromagnetic Equivalence--Layered Case | p. 634 |
| Exterior Equivalence--Layer 1 | p. 635 |
| Interior Equivalence--Layer 2 | p. 638 |
| Interior Equivalence--Layer 3 | p. 641 |
| Combined Field Integral Equations--Layered Case | p. 643 |
| CFIE--TM Case | p. 646 |
| Layered Dielectric Circular Cylinder | p. 653 |
| Circular Multilayer Loading | p. 658 |
| Circular Conductor with Layered Dielectric | p. 663 |
| Solution by Back Substitution | p. 670 |
| Numerical Solution--Layered Case | p. 672 |
| Layered Arbitrary Cross Section--TM Excitation | p. 681 |
| Numerical Solution--Arbitrary Layered Case | p. 682 |
| CFIE--TE Case | p. 696 |
| Vector Identities | p. 697 |
| Vector Operations | p. 697 |
| Mixed Vector Operations and Derivatives | p. 698 |
| Differential Operator | p. 698 |
| Transformation of Vectors | p. 700 |
| Coordinate Representations | p. 701 |
| Integral Relationships | p. 703 |
| Bessel Functions | p. 705 |
| Basic Equation | p. 705 |
| Integral Representation | p. 705 |
| Series Representation | p. 706 |
| Coordinate Transformation | p. 707 |
| Bibliography | p. 709 |
| Index | p. 711 |
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