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Propagating Bean Analysis Based on the Implicit Finite-Difference Method Using the Oblique Coordinate System

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Abstract

The beam propagation method (BPM) has successfully been used to analyze various optical waveguides in the rectangular coordinate system (RCS) [1], The modified BPM based on finite difference (FD) techniques has also been developed [2]. In the previous BPMs, care had to be taken regarding the discretization (quantization) error [3], particularly when the waveguide is tilted, since we have to express waveguide geometry using a stepped approximation, as shown in Fig.1(b). The quantization error results in undesirable power loss as the field propagates, even when the eigenmode field is launched.

© 1994 Optical Society of America

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