PML ABSORBING BOUNDARY CONDITIONS FOR THE MULTIRESOLUTION TIME-DOMAIN TECHNIQUES BASED ON THE DISCRETE WAVELET TRANSFORM

摘要

The use of numerical methods to solve electromagnetic problems with open boundaries requires a method to limit the domain in which the field is computed. This can be achieved by truncating the mesh and setting certain numerical boundary conditions on the outer perimeter of the domain to simulate its extension to infinity. In this paper, the formulation of the perfectly matched layer (PML) is applied to the multiresolution time-domain technique (MRTD) to effectively simulate free-space. The PML region is modelled by means of the two-dimensional discrete wavelet transform. In addition, the numerical reflectivity of the PML medium is also investigated for a variety of thicknesses.