MSc in Electrical Engineering

Course Information Package

Course Unit CodeAEEE553
Course Unit DetailsMSc Electrical Engineering (Technical Electives) -
Number of ECTS credits allocated7
Learning Outcomes of the course unitBy the end of the course, the students should be able to:
  1. Explain the explicit and implicit time-dependent partial differential equation solution methods for time-dependent electromagnetic waves in complex media.
  2. Describe the Yee-algorithm for the solution of the time-dependent Maxwell equations for vector electromagnetic fields in multiple space dimensions
  3. Implement physical source models, pseudo-differential or perfectly matched layer absorbing, boundaries, near-field to far-field transformation in an Finite Difference Time Domain formulation.
  4. Develop and use scalar and vector shape functions in Finite Element Analysis (FEA) for the solution of boundary value problems.
  5. Apply finite element solution in space for static and dynamic solution of Maxwell’s equations.
Mode of DeliveryFace-to-face
Recommended optional program componentsNONE
Course Contents

Maxwell’s equations and Wave equation: Review Maxwell’s Equations, Boundary Conditions, Wave Equation, Vector Potential Theory, Wave Polarization and Solutions to Maxwell’s equations, explicit and implicit time-dependent PDE solution methods, stability and numerical dispersion errors.


Yee’s algorithm: Yee-algorithm for the solution of the time-dependent Maxwell equations for vector electromagnetic fields in multiple space dimensions, Implementation of physical source models in a Finite Difference Time Domain (FDTD) formulation, pseudo-differential or perfectly matched layer absorbing boundaries in an FDTD formulation, network parameters from microwave and millimetre wave circuit and antenna systems using the FDTD.


Ritz and Galerkin methods: Scalar and vector shape functions, Discretisation and Absorbing Boundary Conditions techniques.


Applications of Finite Element Analysis: Finite Element Analysis for static and dynamic solution of Maxwell’s equations in waveguides.



Recommended and/or required reading:
  • A. Taflove and S. C. Hagness, “Computational Electromagnetics: The Finite-Difference Time-Domain”, Artech House, 3rd Ed., 2005.
  • J.-M. Jin “The Finite Element Method in Electromagnetics”, Wiley-IEEE Press 2edition (May 27, 2002).
Planned learning activities and teaching methods

Teaching is based on lectures.

The course delivery will be based on theoretical lecturing, assignments and exercises solved in class. Exercises will be handed to students and their solutions shall be analysed at lecture periods. Additional tutorial time at the end of each lecture will be provided to students. Students are expected to demonstrate the necessary effort to become confident with the different concepts and topics of the course.
Assessment methods and criteria
Final Exam60%
Language of instructionEnglish
Work placement(s)NO