Electromagnetic Field Theory By Bo Thide

Electromagnetic Field Theory pdf

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Introduction: Electromagnetic Field Theory Pdf

Download Free Electromagnetic Field Theory Pdf, Classical electrodynamics deals with electric and magnetic fields and interactions caused by macroscopic distributions of electric charges and currents. This means that the concepts of localized electric charges and currents assume the validity of certain mathematical limiting processes in which it is considered possible for the charge and current distributions to be localized in infinitesimally small volumes of space. Clearly, this is in contradiction to electromagnetism on a truly microscopic scale, where charges and currents have to be treated as spatially extended objects and quantum corrections must be included. However, the limiting processes used will yield results which are correct on small as well as large macroscopic scales.

It took the genius of JAMES CLERK MAXWELL to unify electricity and magnetism into a super-theory, electromagnetism or classical electrodynamics (CED), and to realize that optics is a subfield of this super-theory. Early in the 20th century, Nobel laureate HENDRIK ANTOON LORENTZ took the electrodynamics theory further to the microscopic scale and also laid the foundation for the special theory of relativity, formulated by Nobel laureate ALBERT EINSTEIN in 1905. In the 1930s PAUL A. M. DIRAC expanded electrodynamics to a more symmetric form, including magnetic as well as electric charges.

In this chapter, we start with the force interactions in classical electrostatics and classical magnetostatics and introduce the static electric and magnetic fields and find two uncoupled systems of equations for them. Then we see how the conservation of electric charge and its relation to electric current leads to the dynamic connection between electricity and magnetism and how the two can be unified into one ‘supertheory’, classical electrodynamics, described by one system of coupled dynamic field equations—the Maxwell equations.

At the end of the chapter, we study Dirac’s symmetrized form of Maxwell’s equations by introducing (hypothetical) magnetic charges and magnetic currents into the theory. While not identified unambiguously in experiments yet, magnetic charges and currents make the theory much more appealing for instance by allowing for duality transformations in a most natural way.

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Table Of Contents For Electromagnetic Field Theory Pdf

Classical Electrodynamics

Coulomb’s law
The electrostatic field
Ampère’s law
The magnetostatic field
Equation of continuity for electric charge
Maxwell’s displacement current
Electromotive force
Faraday’s law of induction
Maxwell’s microscopic equations
Maxwell’s macroscopic equations
Electromagnetic duality

Electromagnetic Waves

The wave equations
The wave equation for E
The wave equation for B
The time-independent wave equation for E
Plane waves
Telegrapher’s equation
Waves in conductive media
Observables and averages

Electromagnetic Potentials

The electrostatic scalar potential
The magnetostatic vector potential
The electrodynamic potentials
Lorenz-Lorentz gauge
Coulomb gauge
Gauge transformations

Relativistic Electrodynamics

The special theory of relativity
The Lorentz transformation
Lorentz space
Minkowski space
Covariant classical mechanics
Covariant classical electrodynamics
The four-potential
The Liénard-Wiechert potentials
The electromagnetic field tensor

Electromagnetic Fields and Particles

Charged particles in an electromagnetic field
Covariant equations of motion
Covariant field theory
Lagrange-Hamilton formalism for fields and interactions

Electromagnetic Fields and Matter

Electric polarisation and displacement
Electric multipole moments
Magnetisation and the magnetizing field
Energy and momentum
The energy theorem in Maxwell’s theory
The momentum theorem in Maxwell’s theory

Electromagnetic Fields from Arbitrary Source Distributions

The magnetic field
The electric field
The radiation fields
Radiated energy
Monochromatic signals
Finite bandwidth signals

Electromagnetic Radiation and Radiating Systems

Radiation from extended sources
Radiation from a one-dimensional current distribution
Radiation from a two-dimensional current distribution
Multipole radiation
The Hertz potential
Electric dipole radiation
Magnetic dipole radiation
Electric quadrupole radiation
Radiation from a localized charge in arbitrary motion
The Liénard-Wiechert potentials
Radiation from an accelerated point charge
Cyclotron and synchrotron radiation
Radiation from charges moving in matter
F Formulae
F.1 The electromagnetic field
F.1.1 Maxwell’s equations
F.1.2 Fields and potentials
F.1.3 Force and energy
F.2 Electromagnetic radiation
F.2.1 Relationship between the field vectors in a plane wave
F.2.2 The far fields from an extended source distribution
F.2.3 The far fields from an electric dipole
F.2.4 The far fields from a magnetic dipole
F.2.5 The far fields from an electric quadrupole
F.2.6 The fields from a point charge in arbitrary motion
F.3 Special relativity
F.3.1 Metric tensor
F.3.2 Covariant and contravariant four-vectors
F.3.3 Lorentz transformation of a four-vector
F.3.4 Invariant line element
F.3.5 Four-velocity
F.3.6 Four-momentum
F.3.7 Four-current density
F.3.8 Four-potential
F.3.9 Field tensor
F.4 Vector relations
F.4.1 Spherical polar coordinates
F.4.2 Vector formulae
F.5 Bibliography
M Mathematical Methods
M.1 Scalars, vectors, and tensors
M.1.1 Vectors
M.1.2 Fields
M.1.3 Vector algebra
M.1.4 Vector analysis
M.2 Analytical mechanics
M.2.1 Lagrange’s equations
M.2.2 Hamilton’s equations
M.3 Bibliography

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