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Modified finite-difference beam-propagation method based on the Douglas scheme

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Abstract

A modified finite-difference beam-propagation method (FD-BPM) based on the Douglas scheme is presented. The truncation error in the modified FD-BPM is reduced to ox)4 in the transverse direction, whereas the error in the conventional FD-BPM is typically ox)2. With trivial programming changes, the accuracy can be improved without the introduction of additional computation time. Numerical results obtained for a slab optical waveguide and a directional coupler illustrate the advantage of this method.

© 1993 Optical Society of America

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