# MPhys Physics

Year of entry: 2024

Unit code PHYS30141 10 Level 3 Semester 1 Department of Physics & Astronomy No

### Pre/co-requisites

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

### Aims

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

### Learning outcomes

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.

### Syllabus

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

2.  Sources of Radiation (3 lectures)

Potentials in electromagnetism (dynamic fields)
Retarded potentials
Radiation from accelerated charge - Larmor formula

3.  Radiation in matter (5 lectures)

Maxwell's equations in media
Plane waves in matter. Refractive index

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

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

6.  Other Sources of Radiation (3 lectures)

Bremmstrahlung

### Assessment methods

Method Weight
Written exam 100%

### Feedback methods

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

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