Grid-enabled Transmission Line Matrix (TLM) modelling of electromagnetic structures

The Transmission Line Matrix (TLM) method is a key numerical method in computational electromagnetics. As a network model of Maxwell's equations formulated in terms of the scattering of impulses, it possesses exceptional versatility, numerical stability, robustness and isotropic wave properties. An introduction into the three-dimensional TLM method and its algebraic formulation is given. The modelling of complex electromagnetic structures consisting of dielectric and conducting media is treated. The parallelization of the TLM algorithm is performed by segmentation of the TLM state vector. System identification and spectral analysis approaches allow a considerable reduction of numerical effort. Numerical examples are presented.