Abstract
The generalized Douglas scheme is applied to the finite-difference beam-propagation method (FD-BPM) with a (1, 1) Padé approximant operator. A truncation error of O(Deltax)(4) is found in the transverse direction. To assess the accuracy of the scheme, we investigate the propagation error of the fundamental mode in a two-dimensional tilted waveguide in terms of the coupling efficiency. The present scheme offers further improvement in the analysis of wide-angle beam propagation compared with the conventional FD-BPM.
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