Improved imaginary-distance beam propagation method for full-vectorial eigenmode analysis of optical waveguides

Yongzhi Z. He; Frank G. Shi

doi:10.1117/12.525841

18 June 2004 Improved imaginary-distance beam propagation method for full-vectorial eigenmode analysis of optical waveguides

Yongzhi Z. He, Frank G. Shi

Author Affiliations +

Proceedings Volume 5349, Physics and Simulation of Optoelectronic Devices XII; (2004) https://doi.org/10.1117/12.525841
Event: Integrated Optoelectronic Devices 2004, 2004, San Jose, CA, United States

Abstract

Two schemes are developed to improve the computational accuracy of the full-vectorial imaginary-distance beam propagation method (FV-ID-BPM). In the first scheme, the cross-coupling terms (CCTs) demanded for the FV analysis are expressed in explicit forms, which are independent of specific types of waveguides, by using an improved finite-difference formula. In the second one, the generalized Douglas (GD) scheme is adopted for discretizing the second-order partial derivatives in the FV-ID-BPM equations. A detailed comparative study between the two schemes in improving the computational accuracy is performed by taking a strongly-guiding rib waveguide as a testing example. The highest accuracy is demonstrated in case of the combination of the two schemes. Nevertheless, the improved FD formula for the CCTs is proved to play a much more significant role than the GD scheme in improving the computational accuracy. Moreover, the effectiveness of the GD scheme diminishes as the FD grid is refined.

Citation Download Citation

Yongzhi Z. He and Frank G. Shi "Improved imaginary-distance beam propagation method for full-vectorial eigenmode analysis of optical waveguides", Proc. SPIE 5349, Physics and Simulation of Optoelectronic Devices XII, (18 June 2004); https://doi.org/10.1117/12.525841

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