INTRODUCTION OF FRACTAL ABSORBING BOUNDARY-CONDITIONS IN ELECTROMAGNETIC SIMULATION BY SMM

In a series of previous papers, we have shown that the spectral moment s method (SMM) may be a powerful tool for solving problems of propagat ion and diffraction of electromagnetic waves. In this work, we demonst rate the ability of this method to incorporate fractal absorbing bound ary conditions. First, we describe the SMM principle when eigenvalues of the dynamical matrix are complex, and present the absorbing boundar y conditions used. We show that fractal boundary absorbing conditions improve stability and allow us to deal with small discretized domains, with the possibility of extending the computation to three-dimensiona l systems. Furthermore, the method does not require the introduction o f Huyghens surfaces to simulate propagation of plane waves. The effici ency and accuracy of the method is analysed by comparing the results o btained by SMM with the analytical solution.