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In this paper, a novel numerically efficient time-domain beam propagation method based on the versatile finite element method (FETDBPM) is presented for the analysis of arbitrarily shaped optical integrated circuits. Lumping the global mass matrix into a diagonal matrix, an explicit full band finite-element time-domain propagation algorithm that needs only matrix-vector multiplication at each time step is derived. The accuracy and efficiency of the proposed FETDBPM is demonstrated through the analysis of propagation in different photonic integrated structures.
Date of Publication: May 2004