PHYS3030
HIGHER ELECTROMAGNETISM
PHYS3230
APPLIED ELECTROMAGNETISM
Session: 1
Lecturer:
In the second year
course PHYS2050 (or PHYS2011), classical electromagnetism
was developed via Maxwells equations for essentially
static situations. These third year courses explore the
main dynamical solutions of Maxwells equations, which
correspond to electromagnetic waves, thus linking two of
the main pillars of classical science: electricity and optics.
This then provides the basis for most of modern communications,
as well as an understanding of the optical properties of
various materials.
The course starts
with a review of Maxwells equations, and of electromagnetic
potentials. We then embark on a thorough treatment of plane
waves in both nonconducting and conducting media, including
Poyntings theorem on energy transfer. The application
of boundary conditions at the interface of two different
media then leads to the optical laws of reflection and refraction.
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Through
the use of retarded potentials we may observe how
an accelerating electric charge radiates electromagnetic
energy. Solutions for both the dipole, and half-wave
antenna, are then developed. After considering the
challenging question of radiation reaction, we are
then able to study radiation emission by a classical
atom, including the properties of spectral lines.
Electric charges will also respond to an oscillating
electric field, and oscillate themselves. Since
they will then re-radiate energy, this is the basis
of scattering, and also of the optical (dielectric)
properties of materials.
Special relativity arose
out of electromagnetism and the connections between
the two topics is studied.
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Assumed knowledge:
Second year electromagnetism
(PHYS2050 or PHYS2011) and vector calculus (MATH2011). Some
knowledge of differential equation is important (MATH2120),
and basic complex analysis (MATH2520) would be useful for
PHYS3030.
Assessment:
- Four assignments 15%
- Mid-session test 15%
- Two hour exam 70%
Text book:
- Griffiths, Introduction
to Electrodynamics.
- A list of reference books
will be provided.
Syllabus:
Maxwells
equations, potentials, energy, wave solutions; waves in
nonconducting and conducting media, reflection and refraction
and the interface between two media; retarded potentials,
dipole radiation, half-wave antenna, radiation reaction,
radiation from a classical atom, spectral lines; scattering
amplitude, Thomson and Rayleigh scattering, propagation
in various dilute and dense media, dispersion. Field of
a moving charge. Extended review of special relativity and
its relation to electromagnetism.
Further
Information
For more information
about PHYS3030 contact: