A composite cell-multiresolution time-domain technique for the design of antenna systems including electromagnetic band gap and via-array structures

In this paper, the Haar-wavelet multiresolution time-domain (MRTD) scheme is modified in a way that enables the modeling of arbitrarily positioned metals within a cell, leading to the development of composite cells that are useful for the simulation of highly detailed structures. The technique is applied through the use of wavelet reconstruction and deconstruction matrices to explicitly set field values at perfect electrical conductor interfaces. Using this scheme, MRTD can be used to drastically reduce the number of cells needed to simulate complex antenna geometries including radio-frequency microelectromechanical systems, electronic bandgaps, and via arrays, while taking full advantage of the technique's inherent time- and space-adaptive gridding.