Full-vectorial beam propagation method for waveguide modeling

Si Lu; Yingbai Yan; Daoyi Wang; Guofan Jin

doi:10.1117/12.430154

18 June 2002 Full-vectorial beam propagation method for waveguide modeling

Si Lu, Yingbai Yan, Daoyi Wang, Guofan Jin

Proceedings Volume 4640, Integrated Optics: Devices, Materials, and Technologies VI; (2002) https://doi.org/10.1117/12.430154
Event: Symposium on Integrated Optoelectronic Devices, 2002, San Jose, California, United States

Abstract

The beam propagation method (BPM) is one of the most popular approaches in modeling electromagnetic field propagation. The conventional BPM is established on scalar Helmholtz equation using paraxial approximation. There are limits in the analysis of the vector properties of electromagnetic field and wide-angle propagation. This paper presents the techniques of removing these limits. A full-vectorial BPM bases on finite-difference technique is described from vector wave equations, called finite-difference vectorial beam propagation method (FD-VBPM). The main disadvantage of FD-VBPM is the calculation inefficiency, especially in three dimensional modeling. To obtain two dimensional equivalent structures, a precise optimization approach is adopted. Propagation constant and field of fundamental mode best match those of the original waveguide. The method has very high accuracy. The decoupled semi-vectorial BPM is also derived. The full-vectorial method is extended to wide-angle BPM removing paraxial limit. The method bases on Pade approximant. Simulations are made on rib waveguide.

Citation Download Citation

Si Lu, Yingbai Yan, Daoyi Wang, and Guofan Jin "Full-vectorial beam propagation method for waveguide modeling", Proc. SPIE 4640, Integrated Optics: Devices, Materials, and Technologies VI, (18 June 2002); https://doi.org/10.1117/12.430154

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