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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)