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Maxwell's Equations
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Contents
Non-Relativistic Electrodynamics
Subsections
Maxwell's Equations
The Maxwell Displacement Current
Potentials
Gauge Transformations
The Lorenz Gauge
The Coulomb or Transverse Gauge
Poynting's Theorem, Work and Energy
Magnetic Monopoles
Dirac Monopoles
Plane Waves
The Free Space Wave Equation
Maxwell's Equations
The Wave Equation
Plane Waves
Polarization of Plane Waves
Reflection and Refraction at a
Plane Interface
Kinematics and Snell's Law
Dynamics and Reflection/Refraction
Coordinate choice and Brewster's Law
Perpendicular to Plane of Incidence
Parallel to Plane of Incidence
Intensity
Polarization Revisited: The Brewster Angle
Dispersion
Static Case
Dynamic Case
Things to Note
Anomalous Dispersion, and Resonant Absorption
Attenuation by a complex
Low Frequency Behavior
High Frequency Limit; Plasma Frequency
Penetration of Waves Into a Conductor - Skin Depth
Wave Attenuation in Two Limits
Kramers-Kronig Relations
Plane Waves Assignment
Wave Guides
Boundary Conditions at a Conducting Surface: Skin Depth
Mutilated Maxwell's Equations (MMEs)
TEM Waves
TE and TM Waves
TM Waves
TE Waves
Summary of TE/TM waves
Rectangular Waveguides
Resonant Cavities
Wave Guides Assignment
Radiation
Maxwell's Equations, Yet Again
Quickie Review of Chapter 6
Green's Functions for the Wave Equation
Poisson Equation
Green's Function for the Helmholtz Equation
Green's Function for the Wave Equation
Simple Radiating Systems
The Zones
The Near Zone
The Far Zone
The Homogeneous Helmholtz Equation
Properties of Spherical Bessel Functions
Recursion Relation
The Lowest Few Functions
Asymptotic Forms
Hankel Functions
Plane Wave Expansion
,
, and
)
General Solutions to the HHE
Green's Functions and Free Spherical Waves
Electric Dipole Radiation
Radiation outside the source
Dipole Radiation
Asymptotic properties in the Zones
Energy radiated by the dipole
Magnetic Dipole and Electric Quadrupole Radiation Fields
Magnetic Dipole Radiation
Electric Quadrupole Radiation
Radiation Assignment
Vector Multipoles
Angular momentum and spherical harmonics
Magnetic and Electric Multipoles Revisited
Vector Spherical Harmonics and Multipoles
The Hansen Multipoles
The Hansen Multipoles
The Basic Solutions
Their Significant Properties
Explicit Forms
Green's Functions for the Vector Helmholtz Equation
Multipolar Radiation, revisited
A Linear Center-Fed Half-Wave Antenna
Connection to Old (Approximate) Multipole Moments
Angular Momentum Flux
Concluding Remarks About Multipoles
Table of Properties of Vector Harmonics
Optical Scattering
Radiation Reaction of a Polarizable Medium
Scattering from a Small Dielectric Sphere
Scattering from a Small Conducting Sphere
Many Scatterers
Robert G. Brown 2017-07-11
Perpendicular to Plane of Incidence
,
, and
)