Valid from: Autumn 2019
Decided by: Professor Thomas Johansson
Date of establishment: 2019-10-11
Division: Electrical and Information Technology
Course type: Third-cycle course
Teaching language: English
This course covers a few major computational methods for numerical analysis of electromagnetic fields for engineering applications. It includes the finite difference method (and the finite difference time-domain method in particular), the finite element method, and the integral equation-based moment method. A central part of this course is to give detailed knowledge of computational electromagnetics which is used as an analysis and simulation tool for dealing with electromagnetic problems. Once the students are familiar with these three methods, their understanding of electromagnetic numerical problems in engineering simulation or scientific research will be more profound. The aim of this course is to give good knowledge concerning principles, concepts, applications, performance and limitations of fundamental computational electromagnetics.
Knowledge and Understanding
For a passing grade the doctoral student must
Competences and Skills
For a passing grade the doctoral student must
Judgement and Approach
For a passing grade the doctoral student must be able to understand the principles, advantages, limitations, and application scenarios of different computational electromagnetic methods and make the appropriate selection and comparative analysis in the study of practical problems.
The courses focus on the three fundamental computational electromagnetics methods: The finite difference time domain method - The basic principle of finite difference time-domain method is introduced by first deriving basic finite differencing formulas. This is followed by the stability and dispersion analyses. After that, the method is introduced for solving Maxwell’s equations in both two and three dimensions. Finally, we introduce how to truncate the computational domain for the analysis of open-region electromagnetic problems using absorbing boundary conditions and perfectly matched layers, how to excite incident waves in a computational domain, and how to calculate far fields based on the near-field information. The finite element method - The basic principle of the finite element method is introduced by considering a simple one-dimensional example. We then describe in detail the formulation of the finite element analysis of electromagnetic scalar and vector problems in the frequency domain. This is followed by the extension to the time domain, which includes a brief treatment of modeling a dispersive medium. In each case, we present several numerical examples to demonstrate the application and capability of the finite element method. The method of moment - The basic principle of the method of moment using a simple electrostatic problem. We then formulate a general integral equation for the two-dimensional Helmholtz equation and apply it to a variety of specific problems. For each specific problem, we describe its moment-method solution step by step. This is repeated for three-dimensional electromagnetic field problems that include scattering by various conducting and dielectric objects. Finally, we use a relatively simple example to illustrate how to apply the method into practice.
Rylander, T., Ingelstrom, P. & Bondeson, A.: Computational Electromagnetics. ISBN 9781489986023.
Types of instruction: Lectures, seminars, self-study literature review
Examination format: Written report
Grading scale: Failed, pass
Examiner:
Assumed prior knowledge: Electromagnetic theory
Course Coordinator: Shang Xiang, shang.xiang@eit.lth.se
Course coordinators: