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

Research output: Contribution to journalArticleScientificpeer-review

26 Citations (Scopus)

Abstract

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
Volume198
Issue number4-6
DOIs
Publication statusPublished - 2001
MoE publication typeA1 Journal article-refereed

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Stars
Waveguides
gratings
waveguides
stars
Bragg gratings
Planar waveguides
Diffraction gratings
products
Computational efficiency
corrugated waveguides
Diffraction
Thin films
thin films
diffraction

Cite this

Tervo, Jani ; Kuittinen, Markku ; Vahimaa, Pasi ; Turunen, Jari ; Aalto, Timo ; Heimala, Päivi ; Leppihalme, Matti. / Efficient Bragg waveguide-grating analysis by quasirigorous approach based on Redheffer's star product. In: Optics Communications. 2001 ; Vol. 198, No. 4-6. pp. 265-272.
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Efficient Bragg waveguide-grating analysis by quasirigorous approach based on Redheffer's star product. / Tervo, Jani; Kuittinen, Markku (Corresponding Author); Vahimaa, Pasi; Turunen, Jari; Aalto, Timo; Heimala, Päivi; Leppihalme, Matti.

In: Optics Communications, Vol. 198, No. 4-6, 2001, p. 265-272.

Research output: Contribution to journalArticleScientificpeer-review

TY - JOUR

T1 - Efficient Bragg waveguide-grating analysis by quasirigorous approach based on Redheffer's star product

AU - Tervo, Jani

AU - Kuittinen, Markku

AU - Vahimaa, Pasi

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AU - Aalto, Timo

AU - Heimala, Päivi

AU - Leppihalme, Matti

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AB - 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.

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