Incorporation of dispersive materials in the envelope finite element (EVFE) method

In this thesis computationally efficient methods of including materials with Lorentz-type dispersion in the envelope finite-element time-domain (EVFE) method are developed and presented. A new perfectly matched layer (PML) mesh truncation scheme, which allows the PML to be applied in Lorentz-type dispersive material has also been derived. These new formulations have been implemented and applied to specific examples, and the approach validated through comparison with results obtained using alternative methods. In particular, it has been demonstrated through the examples that the method developed preserves the large-time-step advantage of the EVFE over the conventional finite-element time-domain (FETD) method