Sample
lecture schedule #1
(based on 25 lectures
each of duration 75 minutes).
- Lecture 1:
Review
of undergrad EM, part 1: electrical charge, electric field and
potential, current, magnetic field and vector potential, and
electromagnetic energy.
- Lecture 2:
Review
of undergrad EM, part 2: Faraday’s law,
Maxwell’s equation in vacuum, electromagnetic waves, and
Poynting’s Theorem.
- Lecture 3:
Special
relativity 1: Background review - Space-time, Lorentz
transformations, time dilation, length contraction, and velocity
transformation.
- Lecture 4:
Special
relativity 2: Review of Cartesian tensors, four-vectors and
four-tensors, metric tensor.
- Lecture 5:
Special
relativity 3: Four-vector calculus.
- Lecture 6:
Special
relativity 4: Thomas precession and spin.
- Lecture 7:
Covariant
electrodynamics 1: Four-tensor electromagnetic field, transformation
of fields, electric and magnetic fields of a moving charge.
- Lecture 8:
Covariant
electrodynamics 2: Lagrangian for charged particle in a vector
potential, Lagrangian density for the electromagnetic field.
- Lecture 9:
Covariant
electrodynamics 3: Gauge transformations, stress-energy tensor, and
conservation laws.
- Lecture 10:
Electrostatics
1: Multipole expansion of the electrostatic field.
- Lecture 11:
Electrostatics
2: Boundary value problems (BVPs) – systems of conductors;
coefficients of capacitance; energetics.
- Lecture 12:
Electrostatics
3: BVP solution methods - Method of images; electrostatic screening;
fields near tips and edges.
- Lecture 13:
Electrostatics
4: BVP solution methods: Green function methods.
- Lecture 14:
Magnetostatics:
Magnetic scalar potential, energetics.
- Lecture 15:
Dielectric
and magnetic materials (phenomenological treatment): polarization,
boundary conditions, macroscopic form of Maxwell’s equations.
- Lecture 16:
Faraday’s
law, coefficients of inductance, magnetic diffusion.
- Lecture 17:
Electromagnetic
waves 1: plane waves in vacuum, energy and momentum transport,
polarization.
- Lecture 18:
Electromagnetic
waves 2: plane waves in materials of index n > 1; reflection and
refraction at oblique incidence – Fresnel equations.
- Lecture 19:
Electromagnetic
waves 3: elementary theory of frequency-dependent dielectric
function.
- Lecture 20:
Electromagnetic
radiation 1: Lienard-Wiechert potentials and fields.
- Lecture 21:
Electromagnetic
radiation 2: Electric dipole radiation; Larmour formula.
- Lecture 22:
Electromagnetic
radiation 3: Multipole radiation; magnetic dipole and electric
quadrupole.
- Lecture 23:
Electromagnetic
radiation 4: Radiation from relativistic charges.
- Lecture 24:
Special
topics.
- Lecture 25:
Special
topics.
Special
topics might include, e.g., reflection from metallic surfaces,
surface plasma waves, Bremstrahlung, or synchrotron radiation.
Sample lecture schedule #2
(based on 25 lectures
each of duration 75 minutes).
- Lecture 1:
Review
of undergrad EM, part 1: electrical charge, electric field and
potential, current, magnetic field and vector potential, and
electromagnetic energy.
- Lecture 2:
Review
of undergrad EM, part 2: Faraday’s law,
Maxwell’s equation in vacuum, electromagnetic waves, and
Poynting’s Theorem.
- Lecture 3:
Electrostatics
1: Multipole expansion of the electrostatic field.
- Lecture 4:
Electrostatics
2: Boundary value problems (BVPs) – systems of conductors;
coefficients of capacitance; energetics.
- Lecture 5:
Electrostatics
3: BVP solution methods - Method of images; electrostatic screening;
fields near tips and edges.
- Lecture 6:
Electrostatics
4: BVP solution methods: Green function methods.
- Lecture 7:
Magnetostatics:
Magnetic scalar potential, energetics.
- Lecture 8:
Dielectric
and magnetic materials (phenomenological treatment): polarization,
boundary conditions, macroscopic form of Maxwell’s equations.
- Lecture 9:
Faraday’s
law, coefficients of inductance, magnetic diffusion.
- Lecture 10:
Electromagnetic
waves 1: plane waves in vacuum, energy and momentum transport,
polarization.
- Lecture 11:
Electromagnetic
waves 2: plane waves in materials of index n > 1; reflection and
refraction at oblique incidence – Fresnel equations.
- Lecture 12:
Electromagnetic
waves 3: elementary theory of frequency-dependent dielectric
function.
- Lecture 13:
Special
relativity 1: Background review - Space-time, Lorentz
transformations, time dilation, length contraction, and velocity
transformation.
- Lecture 14:
Special
relativity 2: Review of Cartesian tensors, four-vectors and
four-tensors, metric tensor.
- Lecture 15:
Special
relativity 3: Four-vector calculus.
- Lecture 16:
Special
relativity 4: Thomas precession and spin.
- Lecture 17:
Covariant
electrodynamics 1: Four-tensor electromagnetic field, transformation
of fields, electric and magnetic fields of a moving charge.
- Lecture 18:
Covariant
electrodynamics 2: Lagrangian for charged particle in a vector
potential, Lagrangian density for the electromagnetic field.
- Lecture 19:
Covariant
electrodynamics 3: Gauge transformations, stress-energy tensor, and
conservation laws.
- Lecture 20:
Electromagnetic
radiation 1: Lienard-Wiechert potentials and fields.
- Lecture 21:
Electromagnetic
radiation 2: Electric dipole radiation; Larmour formula.
- Lecture 22:
Electromagnetic
radiation 3: Multipole radiation, magnetic dipole and electric
quadrupole.
- Lecture 23:
Electromagnetic
radiation 4: Radiation from relativistic charges.
- Lecture 24:
Special
topics
- Lecture 25:
Special
topics
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