Application of multiresolution analysis to the modeling of microwave and optical structures

A review of wavelet based techniques for the modeling of electromagnetic and optical structures is provided in this paper. Fundamental theoretical aspects of Multiresolution Analysis are mentioned along with mathematical properties of wavelet bases that lead to the construction of highly efficient numerical schemes and fast algorithms. Applications of such schemes in the field of time and frequency domain analysis of electromagnetic geometries are shown and the recently developed Multiresolution Time Domain technique is extensively presented. The analysis and evaluation of wavelet based techniques indicates their potential to provide fast and accurate solutions, thus broadening the limits of existing electromagnetic solvers.