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Advanced Electromagnetics and Scattering Theory
Barkeshli, Kasra

Cataloging brief

Advanced Electromagnetics and Scattering Theory
Author :   Barkeshli, Kasra
Publisher :   Springer
Pub. Year  :   2015
Subjects :   Electromagnetic theory Scattering, Radiation
Call Number :   ‭QC 670 .B272 2015

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  • Foreword (5)
  • Preface (7)
  • Contents (9)
  • Biographies of Contributors (14)
  • Part I Electromagnetic Theory (16)
  • 1 Maxwell's Equations (17)
    • 1.1 Differential Form (17)
    • 1.2 Constitutive Relations (19)
    • 1.3 Integral Form (22)
    • 1.4 Boundary Relations (25)
      • 1.4.1 Derivation (25)
      • 1.4.2 Special Cases (29)
      • 1.4.3 Other Boundary Conditions (31)
    • 1.5 The Wave Equation (31)
    • 1.6 Electromagnetic Potentials (34)
      • 1.6.1 Lorenz's Potentials (34)
      • 1.6.2 Lorenz's Gauge (36)
      • 1.6.3 Gauge Transformation (37)
      • 1.6.4 Coulomb's Gauge (37)
      • 1.6.5 Hertz Potential (38)
    • 1.7 Energy Flow (39)
      • 1.7.1 Uniqueness Conditions (41)
    • 1.8 Time Harmonic Fields (42)
    • 1.9 Complex Poynting Theorem (45)
    • 1.10 Specific Absorption Rate (48)
    • 1.11 Green's Function Method (49)
      • 1.11.1 Green's Identities (50)
      • 1.11.2 Inhomogeneous Scalar Helmholtz Equation (51)
      • 1.11.3 Green's Function of the First Kind (53)
      • 1.11.4 Green's Function of the Second Kind (53)
      • 1.11.5 The Free Space Green's Function (54)
      • 1.11.6 The Modified Green's Function (58)
      • 1.11.7 Eigenfunction Presentation (58)
    • 1.12 Inhomogeneous Vector Helmholtz Equation (63)
  • 2 Radiation (70)
    • 2.1 General Considerations (70)
    • 2.2 Elementary Sources (71)
      • 2.2.1 The Short Electric Dipole (72)
      • 2.2.2 The Small Magnetic Dipole (76)
    • 2.3 Wire Antennas (78)
    • 2.4 Field Regions (80)
      • 2.4.1 Point Sources (80)
      • 2.4.2 Extended Sources (81)
    • 2.5 Far Field Calculation for General Antennas (82)
    • 2.6 Antenna Parameters (85)
      • 2.6.1 Antenna Patterns and Radiation Intensity (85)
      • 2.6.2 Directive Gain (86)
      • 2.6.3 Gain (87)
      • 2.6.4 Effective Aperture (88)
      • 2.6.5 Antenna Impedance (88)
      • 2.6.6 Friis Transmission Formula (91)
  • 3 Fundamental Theorems (94)
    • 3.1 Uniqueness Theorem (94)
    • 3.2 Duality (96)
    • 3.3 Image Theory (99)
    • 3.4 Reciprocity (101)
    • 3.5 Equivalence Principles (105)
      • 3.5.1 Equivalent Volumetric Currents (105)
      • 3.5.2 Equivalent Surface Currents (107)
    • 3.6 Babinet's Principle (115)
  • 4 Wave Harmonics and Guided Waves (121)
    • 4.1 Plane Waves (121)
      • 4.1.1 Planar Harmonics (122)
      • 4.1.2 The Sheet Current Source (125)
      • 4.1.3 Wave Polarization (127)
      • 4.1.4 Lossless Medium (129)
      • 4.1.5 Lossy Medium (132)
      • 4.1.6 Reflection from Plane Dielectric Interfaces (135)
      • 4.1.7 Propagation in Layered Media (143)
      • 4.1.8 Reflection from Inhomogeneous Layers (145)
      • 4.1.9 Wave Velocities (150)
    • 4.2 Planar Waveguides (154)
      • 4.2.1 The Parallel Plate Waveguide (155)
      • 4.2.2 Grounded Dielectric Slab (158)
      • 4.2.3 The Dielectric Slab Waveguide (164)
    • 4.3 Hollow Waveguides (168)
      • 4.3.1 Waveguide Modes (169)
      • 4.3.2 Cutoff Frequency (171)
      • 4.3.3 Guide Wavelength (171)
      • 4.3.4 Orthogonality of Modes (172)
      • 4.3.5 The Rectangular Hollow Waveguide (173)
      • 4.3.6 The Corrugated Rectangular Waveguide (177)
    • 4.4 Radiation from Sources in a Plane (184)
    • 4.5 Cylindrical Waves (187)
      • 4.5.1 Line Sources (190)
      • 4.5.2 Cylindrical Wave Transformation (193)
      • 4.5.3 Addition Theorem (194)
      • 4.5.4 The Circular Metallic Waveguide (196)
      • 4.5.5 Circular Corrugated Horns (199)
      • 4.5.6 The Coaxial Waveguide (203)
      • 4.5.7 The Dielectric Rod (208)
    • 4.6 Spherical Waves (209)
      • 4.6.1 Spherical Wave Transformation (214)
      • 4.6.2 Point Sources (214)
      • 4.6.3 Addition Theorem (215)
  • Part II Scattering Theory (223)
  • 5 Radar (224)
    • 5.1 Historical Remarks (224)
    • 5.2 Operation (225)
      • 5.2.1 Transmitters (226)
      • 5.2.2 Radar Antennas (227)
      • 5.2.3 Receivers (227)
      • 5.2.4 Computer Processing (227)
      • 5.2.5 Radar Displays (227)
    • 5.3 Secondary-Radar System (228)
      • 5.3.1 Transponder (228)
      • 5.3.2 Radar Identification (IFF) (228)
    • 5.4 Countermeasures (228)
    • 5.5 Radar Cross Section (229)
    • 5.6 Radar Equation (233)
    • 5.7 Doppler Effect (235)
    • 5.8 Radar Clutter (236)
      • 5.8.1 Clutter Statistics (239)
    • 5.9 Non-Meteorological Echoes (240)
  • 6 Canonical Scattering Problems (241)
    • 6.1 The Circular Cylinder (241)
      • 6.1.1 The Conducting Cylinder (241)
      • 6.1.2 The Homogeneous Dielectric Cylinder (254)
    • 6.2 The Conducting Wedge (257)
      • 6.2.1 The Half Plane (260)
      • 6.2.2 The Edge Condition (261)
    • 6.3 The Sphere (265)
      • 6.3.1 Low Frequency Scattering (265)
      • 6.3.2 Mie Scattering (270)
  • 7 Approximate Methods (278)
    • 7.1 Rayleigh-Debye Approximation (278)
    • 7.2 Physical Optics Approximation (282)
      • 7.2.1 Scattering from a Right Triangular Plate (286)
      • 7.2.2 Scattering from a Convex Target (287)
  • 8 Integral Equation Method (291)
    • 8.1 Types of Integral Equations (291)
    • 8.2 Perfectly Conducting Scatterers (292)
      • 8.2.1 Electric Field Integral Equation (EFIE) (292)
      • 8.2.2 Magnetic Field Integral Equation (MFIE) (293)
    • 8.3 Two-Dimensional Problems (295)
      • 8.3.1 Scattering from a Resistive Strip (296)
      • 8.3.2 Cylindrical Strips (306)
      • 8.3.3 Cylindrical Reflector Antennas (307)
    • 8.4 The Linear Wire Antenna (308)
      • 8.4.1 Source Modeling (311)
      • 8.4.2 Input Impedance (313)
    • 8.5 Dielectric Scatterers (314)
  • 9 Method of Moments (316)
    • 9.1 Formulation (316)
    • 9.2 Resistive Strips (319)
      • 9.2.1 Flat Strips (319)
      • 9.2.2 Circular Cylindrical Strips (322)
    • 9.3 The Linear Wire Antenna (328)
    • 9.4 The Dielectric Cylinder (331)
  • 10 Periodic Structures (336)
    • 10.1 Floquet's Theorem (336)
    • 10.2 Scattering From Strip Gratings (337)
  • 11 Inverse Scattering (343)
    • 11.1 Dielectric Bodies (343)
      • 11.1.1 Born Approximation (343)
    • 11.2 Perfectly Conducting Bodies (348)
      • 11.2.1 Physical Optics Inverse Scattering (348)
  • Appendix A Vector Analysis (351)
  • Appendix B Vector Calculus (355)
  • Appendix C Bessel Functions (359)
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