Electromagnetic Field and its Description with Numerical Methods

Garant předmětu:

Lecturer:

Tutor:

Supervisor:

Department of Laser Physics and Photonics

Synopsis:

The courseis devoted to the electromagneticfield description and simulation with numerical metods. The basic numerical methods and algorithms are described (FEM, FDTD, BEM, TLM), together with the problems on numerical dispersion, stability, boundary conditions, various media types, and algoritmparallel implementation.

Requirements:

Syllabus of lectures:

1. Maxwell equationsand basic Finite difference time domain (FDTD) algorithm.2. Numerical dispersion and stability.3. Boundary conditions: Absorbing, Analytical absorbing and Perfectly matched layers (PML).4. Dispersive, nonlinear, and gain materials.5. Parallel implementation of FDTD algorithm.6. Finite element method (FEM), basic implementation.7. Finite elements of higher orders.8. Numerical methods in 3D, Boundary element method (BEM), absorbing boundary conditions.9. Method of Moments, Integral equations.10. Green function in free space and in space with conductive boundary conditions.11. Transmission Line Matrix (TLM) method.12. Nonhomogeneous and loss materials, scattering matrix.

Syllabus of tutorials:

Study Objective:

Study materials:

Key references: [1] A. Taflove, S. G. Johnson, A. Oskooi, Advances in FDTD Computational Electrodynamics: Photonics and Nanotechnology. ArtechHouse (2013).[2] A. Taflove, S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, 3rd Ed. Artech House (2005).Recommended references:[3] J.-M. Jin, Theory and Computation of Electromagnetic Fields. Wiley-IEEE Press (2010).[4] P. Monk, Finite Element Methods for Maxwell's Equations. Clarendon Press (2003).

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans: