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Advanced Electromagnetics and Scattering Theory

Barkeshli, Kasra | 2015

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  1. Type of Document: Book
  2. Publisher: New York : Springer , 2015
  3. Abstract:
  4. This book present the lecture notes used in two courses that the late Professor Kasra Barkeshli had offered at Sharif University of Technology, namely, . The prerequisite for the sequence is vector calculus and electromagnetic fields and waves. Some familiarity with Green's functions and integral equations is desirable but not necessary.
    The book provides a brief but concise introduction to classical topics in the field. It is divided into three parts including annexes. Part I covers principle of electromagnetic theory. The discussion starts with a review of the Maxwell's equations in differential and integral forms and basic boundary conditions. The solution of inhomogeneous wave equation and various field representations including Lorentz's potential functions and the Green's function method are discussed next. The solution of Helmholtz equation and wave harmonics follow. Next, the book presents plane wave propagation in dielectric and lossy media and various wave velocities. This part concludes with a general discussion of planar and circular waveguides.
    Part II presents basic concepts of electromagnetic scattering theory. After a brief discussion of radar equation and scattering cross section, the author reviews the canonical problems in scattering. These include the cylinder, the wedge and the sphere. The edge condition for the electromagnetic fields in the vicinity of geometric discontinuities are discussed. The author also presents the low frequency Rayleigh and Born approximations. The integral equation method for the formulation of scattering problems is presented next, followed by an introduction to scattering from periodic structures
  5. Keywords:
  6. Electromagnetic theory ; Scattering, Radiation

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  • Foreword
  • Preface
  • Contents
  • Biographies of Contributors
  • Part I Electromagnetic Theory
  • 1 Maxwell's Equations
    • 1.1 Differential Form
    • 1.2 Constitutive Relations
    • 1.3 Integral Form
    • 1.4 Boundary Relations
      • 1.4.1 Derivation
      • 1.4.2 Special Cases
      • 1.4.3 Other Boundary Conditions
    • 1.5 The Wave Equation
    • 1.6 Electromagnetic Potentials
      • 1.6.1 Lorenz's Potentials
      • 1.6.2 Lorenz's Gauge
      • 1.6.3 Gauge Transformation
      • 1.6.4 Coulomb's Gauge
      • 1.6.5 Hertz Potential
    • 1.7 Energy Flow
      • 1.7.1 Uniqueness Conditions
    • 1.8 Time Harmonic Fields
    • 1.9 Complex Poynting Theorem
    • 1.10 Specific Absorption Rate
    • 1.11 Green's Function Method
      • 1.11.1 Green's Identities
      • 1.11.2 Inhomogeneous Scalar Helmholtz Equation
      • 1.11.3 Green's Function of the First Kind
      • 1.11.4 Green's Function of the Second Kind
      • 1.11.5 The Free Space Green's Function
      • 1.11.6 The Modified Green's Function
      • 1.11.7 Eigenfunction Presentation
    • 1.12 Inhomogeneous Vector Helmholtz Equation
  • 2 Radiation
    • 2.1 General Considerations
    • 2.2 Elementary Sources
      • 2.2.1 The Short Electric Dipole
      • 2.2.2 The Small Magnetic Dipole
    • 2.3 Wire Antennas
    • 2.4 Field Regions
      • 2.4.1 Point Sources
      • 2.4.2 Extended Sources
    • 2.5 Far Field Calculation for General Antennas
    • 2.6 Antenna Parameters
      • 2.6.1 Antenna Patterns and Radiation Intensity
      • 2.6.2 Directive Gain
      • 2.6.3 Gain
      • 2.6.4 Effective Aperture
      • 2.6.5 Antenna Impedance
      • 2.6.6 Friis Transmission Formula
  • 3 Fundamental Theorems
    • 3.1 Uniqueness Theorem
    • 3.2 Duality
    • 3.3 Image Theory
    • 3.4 Reciprocity
    • 3.5 Equivalence Principles
      • 3.5.1 Equivalent Volumetric Currents
      • 3.5.2 Equivalent Surface Currents
    • 3.6 Babinet's Principle
  • 4 Wave Harmonics and Guided Waves
    • 4.1 Plane Waves
      • 4.1.1 Planar Harmonics
      • 4.1.2 The Sheet Current Source
      • 4.1.3 Wave Polarization
      • 4.1.4 Lossless Medium
      • 4.1.5 Lossy Medium
      • 4.1.6 Reflection from Plane Dielectric Interfaces
      • 4.1.7 Propagation in Layered Media
      • 4.1.8 Reflection from Inhomogeneous Layers
      • 4.1.9 Wave Velocities
    • 4.2 Planar Waveguides
      • 4.2.1 The Parallel Plate Waveguide
      • 4.2.2 Grounded Dielectric Slab
      • 4.2.3 The Dielectric Slab Waveguide
    • 4.3 Hollow Waveguides
      • 4.3.1 Waveguide Modes
      • 4.3.2 Cutoff Frequency
      • 4.3.3 Guide Wavelength
      • 4.3.4 Orthogonality of Modes
      • 4.3.5 The Rectangular Hollow Waveguide
      • 4.3.6 The Corrugated Rectangular Waveguide
    • 4.4 Radiation from Sources in a Plane
    • 4.5 Cylindrical Waves
      • 4.5.1 Line Sources
      • 4.5.2 Cylindrical Wave Transformation
      • 4.5.3 Addition Theorem
      • 4.5.4 The Circular Metallic Waveguide
      • 4.5.5 Circular Corrugated Horns
      • 4.5.6 The Coaxial Waveguide
      • 4.5.7 The Dielectric Rod
    • 4.6 Spherical Waves
      • 4.6.1 Spherical Wave Transformation
      • 4.6.2 Point Sources
      • 4.6.3 Addition Theorem
  • Part II Scattering Theory
  • 5 Radar
    • 5.1 Historical Remarks
    • 5.2 Operation
      • 5.2.1 Transmitters
      • 5.2.2 Radar Antennas
      • 5.2.3 Receivers
      • 5.2.4 Computer Processing
      • 5.2.5 Radar Displays
    • 5.3 Secondary-Radar System
      • 5.3.1 Transponder
      • 5.3.2 Radar Identification (IFF)
    • 5.4 Countermeasures
    • 5.5 Radar Cross Section
    • 5.6 Radar Equation
    • 5.7 Doppler Effect
    • 5.8 Radar Clutter
      • 5.8.1 Clutter Statistics
    • 5.9 Non-Meteorological Echoes
  • 6 Canonical Scattering Problems
    • 6.1 The Circular Cylinder
      • 6.1.1 The Conducting Cylinder
      • 6.1.2 The Homogeneous Dielectric Cylinder
    • 6.2 The Conducting Wedge
      • 6.2.1 The Half Plane
      • 6.2.2 The Edge Condition
    • 6.3 The Sphere
      • 6.3.1 Low Frequency Scattering
      • 6.3.2 Mie Scattering
  • 7 Approximate Methods
    • 7.1 Rayleigh-Debye Approximation
    • 7.2 Physical Optics Approximation
      • 7.2.1 Scattering from a Right Triangular Plate
      • 7.2.2 Scattering from a Convex Target
  • 8 Integral Equation Method
    • 8.1 Types of Integral Equations
    • 8.2 Perfectly Conducting Scatterers
      • 8.2.1 Electric Field Integral Equation (EFIE)
      • 8.2.2 Magnetic Field Integral Equation (MFIE)
    • 8.3 Two-Dimensional Problems
      • 8.3.1 Scattering from a Resistive Strip
      • 8.3.2 Cylindrical Strips
      • 8.3.3 Cylindrical Reflector Antennas
    • 8.4 The Linear Wire Antenna
      • 8.4.1 Source Modeling
      • 8.4.2 Input Impedance
    • 8.5 Dielectric Scatterers
  • 9 Method of Moments
    • 9.1 Formulation
    • 9.2 Resistive Strips
      • 9.2.1 Flat Strips
      • 9.2.2 Circular Cylindrical Strips
    • 9.3 The Linear Wire Antenna
    • 9.4 The Dielectric Cylinder
  • 10 Periodic Structures
    • 10.1 Floquet's Theorem
    • 10.2 Scattering From Strip Gratings
  • 11 Inverse Scattering
    • 11.1 Dielectric Bodies
      • 11.1.1 Born Approximation
    • 11.2 Perfectly Conducting Bodies
      • 11.2.1 Physical Optics Inverse Scattering
  • Appendix A Vector Analysis
  • Appendix B Vector Calculus
  • Appendix C Bessel Functions
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