Full-vectorial to scalar FD-SOR formulations for optical waveguide modelling: a comparative study
✍ Scribed by D.H. Spadoti; C.A. de Francisco; V. Nascimento; B.-H. V. Borges; M.A. Romero
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 246 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0894-3370
- DOI
- 10.1002/jnm.634
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✦ Synopsis
This paper presents a comparative study among three different formulations to analyse optical waveguides. All treatments, namely, full-vectorial, semi-vectorial, and scalar are based on the successive over relaxation-SOR technique. A complete expansion of these three formulations together with a convergence study of the respective iterative relaxation parameters are also provided. Several waveguiding structures are investigated in this work, including D-shaped fibres, rib waveguides, and photonic crystal fibres, addressing the accuracy of the several FD-SOR formulations implemented. It is demonstrated that the semi-vectorial approach produces excellent results when compared to those obtained with the full-vectorial treatment.