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MPhys Physics

Year of entry: 2021

Course unit details:
Electromagnetic Radiation

Unit code PHYS30141
Credit rating 10
Unit level Level 3
Teaching period(s) Semester 1
Offered by Department of Physics & Astronomy
Available as a free choice unit? No


Electromagnetic Radiation


Unit title Unit code Requirement type Description
Electromagnetism PHYS20141 Pre-Requisite Compulsory
Wave Optics PHYS20312 Pre-Requisite Compulsory


To develop an understanding of the production, scattering and transmission of electromagnetic waves.

Learning outcomes

This course unit detail provides the framework for delivery in 20/21 and may be subject to change due to any additional Covid-19 impact.  Please see Blackboard / course unit related emails for any further updates

On completion successful students will be able to:

  1. Use Maxwell's equations to describe the propagation of electromagnetic waves in vacuum.
  2. Explain in detail how accelerated charges produce electromagnetic radiation, particularly in antennas.
  3. Show with calculations how waves are propagated in dielectrics, conductors and plasmas.
  4. Describe and calculate the properties of waves undergoing reflection and refraction at boundaries, and the scattering of waves by free and bound electrons.
  5. Explain the properties of electromagnetic fields when guided by transmission lines and waveguides and calculate numerically their important parameters.
  6. Describe and calculate the properties of sources of electromagnetic radiation, including cyclotron radiation, synchrotron radiation, Bremsstrahlung and Cerenkov radiation.


1. The Electromagnetic Field (3 lectures)

Maxwell's equations for E, B, Charge conservation
Potentials in electromagnetism
Energy in the electromagnetic field
Poynting's Theorem
Electromagnetic plane waves
Polarisation. Radiation Pressure


2.  Sources of Radiation (3 lectures)

Potentials in electromagnetism (dynamic fields)
Retarded potentials
Radiation from accelerated charge - Larmor formula
Hertzian dipole radiation. Antennae.


3.  Radiation in matter (5 lectures)

Maxwell's equations in media
Plane waves in matter. Refractive index
Radiation in dielectrics - dispersion
Radiation in conductors and plasmas


4.  Reflection, Refraction & Scattering (4 lectures)

Boundary conditions
Normal and Oblique Incidence Reflection from dielectric
Fresnel's equations. Total internal reflection
Reflection from metallic surface
Scattering from free electrons - Thomson scattering
Scattering by atoms - Rayleigh scattering


5.  Guided Radiation (4 lectures)

Transmission lines. Characteristic impedance Z0. Matching
Rectangular waveguide. Cut off frequency. Energy flow.
Attenuation in guides.


6.  Other Sources of Radiation (3 lectures)

Cyclotron and Synchrotron Radiation
Cerenkov Radiation

Assessment methods

Method Weight
Other 33%
Written exam 67%

Feedback methods

Feedback will be offered by examples class tutors based on examples sheets, and model answers will be issued.

Recommended reading


Bekefi, G. & Barrett, A.H. Electromagnetic vibration, waves and radiation, (MIT)
Grant, I. & Phillips, W.R. Electromagnetism, (MPS, Wiley, 2nd edition)
Smith, G.S. An Introduction to Classical Electromagnetic Radiation, (CUP 1997)

Study hours

Scheduled activity hours
Assessment written exam 1.5
Lectures 22
Independent study hours
Independent study 76.5

Teaching staff

Staff member Role
Hywel Owen Unit coordinator

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