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12 October 2005 A simple and intuitive approach for assessing the grid density and the propagation step for BPM modeling of components
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Abstract
The beam propagation method (BPM), in both two-dimensional and three-dimensional versions, is a widely used tool for modeling optical building blocks of photonic integrated circuits (PIC) and integrated optics devices. Such optical building blocks include bent waveguides, couplers, splitters, angled waveguides, etc. Most of the time, trial BPM runs need to be executed to properly set the grid density and propagation step in order to obtain stable and repeatable results. Often, these practice runs can consume a large quantity of valuable design time and computational resources, especially when modeling devices that require short propagation steps and a very dense computation grid. We propose a method that helps the BPM user to quickly assess a range of values for the grid density and propagation step, which enables adequate modeling without resorting to numerous BPM runs. This straightforward and highly intuitive method is based on what we have called the Overlap Quantization Error (OQE). It is also independent of the BPM algorithm used for the simulations. To illustrate the technique, several simulation results are presented for both high- and low-contrast curved waveguides.
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Stéphane Paquet, Joe S. Seregelyi, and J. Claude Bélisle "A simple and intuitive approach for assessing the grid density and the propagation step for BPM modeling of components", Proc. SPIE 5970, Photonic Applications in Devices and Communication Systems, 59700S (12 October 2005); https://doi.org/10.1117/12.628174
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