Efficient Bragg waveguide-grating analysis by quasirigorous approach based on Redheffer's star product

Jani Tervo, Markku Kuittinen (Corresponding Author), Pasi Vahimaa, Jari Turunen, Timo Aalto, Päivi Heimala, Matti Leppihalme

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    We introduce a computationally efficient quasi-rigorous method for the analysis of corrugated planar waveguide structures. The method is based on rigorous diffraction theory of gratings. The computational efficiency is achieved by using Redheffer's star product and the so-called binary method for the involution of the transfer matrix. The developed method enables efficient rigorous analysis of corrugated waveguide structures without any limitations for the corrugation depth. Comparison with the thin-film stack method shows that the proposed method gives similar results for Bragg grating for the fundamental mode when the corrugations are shallow, but the results differ significantly when the corrugations are deep. Furthermore, the quasi-rigorous method also facilities the analysis of the coupling of light from the fundamental mode into the higher waveguide modes.
    Original languageEnglish
    Pages (from-to)265-272
    JournalOptics Communications
    Issue number4-6
    Publication statusPublished - 2001
    MoE publication typeA1 Journal article-refereed


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