Undergraduate Course: Electromagnetism (PHYS09060)
|School||School of Physics and Astronomy
||College||College of Science and Engineering
|Credit level (Normal year taken)||SCQF Level 9 (Year 3 Undergraduate)
||Availability||Available to all students
|Summary||This is a two-semester course, the first covering time-independent and time-dependent properties of electric and magnetic fields leading to the vector calculus formulation of Maxwell's Equations and the derivation of electro-magnetic waves in vacuo and in media. The second semester covers the electromagnetic properties of waves including propagation, polarisation, interference and diffraction with example from radio wave, optics and x-ray diffraction.
Electromagnetism (20 lectures)
- Integral and differential forms of Gauss's Law. Examples of 1D, 2D, 3D charge distributions.
- Potential. Poisson's Equation. Calculation of electric fields.
- Uniqueness theorem. Solution of electrostatic problems. Method of images.
- Dipole field. Quadrupole field. Multipole expansion.
- Electrostatic boundaries. Polarisation in dielectrics. Surface charges.
- Biot-Savart Law. Magnetic vector potential. Calculation of magnetic fields.
- Integral and differential forms of Ampere's Law. Examples of 1D, 2D current distributions.
- Magnetostatic boundaries. Magnetisation. Surface currents.
- Time-varying fields. Faraday's Law. Induction.
- Calculation of self and mutual inductance.
- Displacement current. Maxwell's equations and their solution in vacuo.
- Introduction to Electromagnetic waves.
- Solution of Maxwell's equations in dielectrics.
- Continuity theorem. Conservation laws.
- Poynting vector. Energy storage & transport by waves.
Electromagnetic Waves & Optics (20 lectures)
- Reflection & transmission of waves at boundaries.
- Polarisation states. Polarisers. Malus's Law. Measurement of polarisation.
- Derivation of Fresnel Equations. Brewster's angle.
- Interference. Double slits. Newton's rings. Michelson/Twyman-Green interferometers.
- Multi-beam interference. Fabry-Perot. Anti-reflection coatings. Dielectric stacks.
- Single slit diffraction. Diffraction grating. Applications in spectroscopy. X-ray diffraction.
- Diffraction from circular aperture. Resolution limit. Aberrations.
- Dispersion of Electromagnetic waves. Ionosphere.
- Waves in conductors. Absorption. Skin depth.
- Waveguides & Cavities.
- Coherence. Lasers.
- Basic Fourier optics. Optical transfer function. Concept of spatial frequency.
Information for Visiting Students
Course Delivery Information
|Academic year 2014/15, Available to all students (SV1)
|Learning and Teaching activities (Further Info)
Lecture Hours 44,
Seminar/Tutorial Hours 44,
Summative Assessment Hours 8,
Revision Session Hours 1,
Programme Level Learning and Teaching Hours 4,
Directed Learning and Independent Learning Hours
|Assessment (Further Info)
|Additional Information (Assessment)
||Hours & Minutes
|Main Exam Diet S2 (April/May)||Electromagnetism (PHYS09060)||3:00|
| Upon successful completion of this course it is intended that a student will be able to:
1)State the integral laws of electromagnetism and state and derive Maxwell's equations for charges and currents in a vacuum
2)Define and explain charge and current densities (in bulk and on surfaces and lines), and conductivity
3)Define, and use the concepts of electric and magnetic dipoles; calculate the fields from dipoles and forces and torques on them
4)Define and explain: polarisation and magnetisation; the fields D, H, E and B; the relation between E, B and the force on a particle; polarisation charges and magnetisation currents; boundary conditions on fields at interfaces between media; Maxwell's equations in media
5)Define and explain in atomic terms: the response of linear media; relative permittivity and permeability; their relation to the electromagnetic energy density; nonlinear media such as ferromagnets
6)Formulate and solve boundary-value problems using: superposition methods; uniqueness principles; the method of images; qualitative reasoning based on field lines; the equations of Biot-Savart, Faraday, Ampere, Gauss, Laplace and Poisson
7)Formulate and solve with vector calculus problems of static and time-varying electrical and magnetic fields
8)Derive and apply the concepts of: Maxwell's displacement current; the continuity equation; self- and mutual inductance; Poynting's vector; energy flux; radiation pressure
9)Derive and explain electromagnetic radiation using plane-wave solutions of Maxwell's equations; apply these to problems of intrinsic impedance, attenuation, dispersion, reflection, transmission, evanescence, and the skin effect in conductors; derive and explain total internal reflection, polarisation by reflection.
10)Explain and utilise the properties of the electric scalar potential and the magnetic vector potential.
|Graduate Attributes and Skills
|Course organiser||Prof Martin Evans
Tel: (0131 6)50 5294
|Course secretary|| Yuhua Lei
Tel: (0131 6) 517067
© Copyright 2014 The University of Edinburgh - 12 January 2015 4:39 am