Print Email Facebook Twitter Extension of Marcatili’s analytical approach for rectangular silicon optical waveguides Title Extension of Marcatili’s analytical approach for rectangular silicon optical waveguides Author Westerveld, W.J. Leinders, S.M. Van Dongen, K.W.A. Urbach, H.P. Yousefi, M. Faculty Applied Sciences Department ImPhys/Imaging Physics Date 2012-07-15 Abstract Marcatili's famous approximate analytical description of light propagating through rectangular dielectric waveguides, published in 1969, gives accurate results for low-index-contrast waveguides. However, photonic integrated circuit technology has advanced to high-index-contrast (HIC) waveguides. In this paper, we improve Marcatili's model by adjusting the amplitudes of the components of the electromagnetic fields in his description. We find that Marcatili's eigenvalue equation for the propagation constant is also valid for HIC waveguides. Our improved method shows much better agreement with rigorous numerical simulations, in particular for the case of HIC waveguides. We also derive explicit expressions for the effective group index and the effects of external forces on the propagation constant. Furthermore, with our method the phenomenon of avoided crossing of modes is observed and studied. Subject optical waveguideselectromagnetic propagationelectromagnetic fieldsintegrated opticssilicon on insulator technologyoptical sensors To reference this document use: http://resolver.tudelft.nl/uuid:2892eed1-bb93-4ac4-8f2c-1fad82ea13f0 Publisher IEEE/OSA ISSN 0733-8724 Source Journal of Lightwave Technology, 30 (14), 2012; Authors version Other version https://doi.org/10.1109/JLT.2012.2199464 Part of collection Institutional Repository Document type journal article Rights © 2012 IEEE Files PDF westerveld_2012_marcatili ... rectwg.pdf 844.91 KB Close viewer /islandora/object/uuid:2892eed1-bb93-4ac4-8f2c-1fad82ea13f0/datastream/OBJ/view