Analysis of First-Order Gratings in Silicon Photonic Waveguides
A simple thin film effective index analysis for first-order gratings in Si photonic waveguides is shown to provide highly accurate results for reflected and transmitted power spectrums as long as the waveguide remains single mode and non-radiating. A cover layer can be added to the grating region of...
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IEEE
2022-01-01
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Series: | IEEE Photonics Journal |
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Online Access: | https://ieeexplore.ieee.org/document/9907827/ |
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author | Haosen Tan Weida Zhang Yudong Chen Yuhe Xia Chris Newey Tso-Min Chou Nai-Hsiang Sun Jerome K. Butler Gary A. Evans |
author_facet | Haosen Tan Weida Zhang Yudong Chen Yuhe Xia Chris Newey Tso-Min Chou Nai-Hsiang Sun Jerome K. Butler Gary A. Evans |
author_sort | Haosen Tan |
collection | DOAJ |
description | A simple thin film effective index analysis for first-order gratings in Si photonic waveguides is shown to provide highly accurate results for reflected and transmitted power spectrums as long as the waveguide remains single mode and non-radiating. A cover layer can be added to the grating region of a Si photonic waveguide to increase the strength of the grating, modify transition losses from the input waveguide to the grating waveguide region, and/or modify the width of the reflectivity spectrum. For a given grating period, the peak reflection and spectral width of the reflectivity decrease as the duty cycle is decreased or increased from ∼50%. For both radiating and multimode structures, the coupling between all modes, power radiated towards the superstrate (upwards), power radiated downwards (substrate) and transmitted power analyzed by Floquet-Bloch, Eigenmode Expansion and Finite Difference Time Domain methods show excellent agreement. Coupling coefficients calculated using analytic formulas are shown to be accurate only for shallow grating depths. |
first_indexed | 2024-03-08T23:45:12Z |
format | Article |
id | doaj.art-f109c095828c461c89785ad76fac35a1 |
institution | Directory Open Access Journal |
issn | 1943-0655 |
language | English |
last_indexed | 2024-03-08T23:45:12Z |
publishDate | 2022-01-01 |
publisher | IEEE |
record_format | Article |
series | IEEE Photonics Journal |
spelling | doaj.art-f109c095828c461c89785ad76fac35a12023-12-14T00:00:26ZengIEEEIEEE Photonics Journal1943-06552022-01-0114611010.1109/JPHOT.2022.32114569907827Analysis of First-Order Gratings in Silicon Photonic WaveguidesHaosen Tan0https://orcid.org/0000-0002-5781-4289Weida Zhang1Yudong Chen2Yuhe Xia3Chris Newey4Tso-Min Chou5Nai-Hsiang Sun6https://orcid.org/0000-0003-1560-1979Jerome K. Butler7https://orcid.org/0000-0003-3295-1196Gary A. Evans8https://orcid.org/0000-0001-9758-7618Mechanical Engineering Department, Southern Methodist University, Dallas, TX, USAElectrical and Computer Engineering Department, Southern Methodist University, Dallas, TX, USAElectrical and Computer Engineering Department, Southern Methodist University, Dallas, TX, USAElectrical and Computer Engineering Department, Southern Methodist University, Dallas, TX, USAElectrical and Computing, Southern Methodist University, Dallas, TX, USAElectrical and Computer Engineering Department, Southern Methodist University, Dallas, TX, USADepartment of Electrical Engineering, I-Shou University, Kaohsiung, TaiwanElectrical and Computer Engineering Department, Southern Methodist University, Dallas, TX, USAElectrical and Computer Engineering Department, Southern Methodist University, Dallas, TX, USAA simple thin film effective index analysis for first-order gratings in Si photonic waveguides is shown to provide highly accurate results for reflected and transmitted power spectrums as long as the waveguide remains single mode and non-radiating. A cover layer can be added to the grating region of a Si photonic waveguide to increase the strength of the grating, modify transition losses from the input waveguide to the grating waveguide region, and/or modify the width of the reflectivity spectrum. For a given grating period, the peak reflection and spectral width of the reflectivity decrease as the duty cycle is decreased or increased from ∼50%. For both radiating and multimode structures, the coupling between all modes, power radiated towards the superstrate (upwards), power radiated downwards (substrate) and transmitted power analyzed by Floquet-Bloch, Eigenmode Expansion and Finite Difference Time Domain methods show excellent agreement. Coupling coefficients calculated using analytic formulas are shown to be accurate only for shallow grating depths.https://ieeexplore.ieee.org/document/9907827/Distributed feedback devicesgratingsoptical componentsoptical planar waveguidesilicon photonics |
spellingShingle | Haosen Tan Weida Zhang Yudong Chen Yuhe Xia Chris Newey Tso-Min Chou Nai-Hsiang Sun Jerome K. Butler Gary A. Evans Analysis of First-Order Gratings in Silicon Photonic Waveguides IEEE Photonics Journal Distributed feedback devices gratings optical components optical planar waveguide silicon photonics |
title | Analysis of First-Order Gratings in Silicon Photonic Waveguides |
title_full | Analysis of First-Order Gratings in Silicon Photonic Waveguides |
title_fullStr | Analysis of First-Order Gratings in Silicon Photonic Waveguides |
title_full_unstemmed | Analysis of First-Order Gratings in Silicon Photonic Waveguides |
title_short | Analysis of First-Order Gratings in Silicon Photonic Waveguides |
title_sort | analysis of first order gratings in silicon photonic waveguides |
topic | Distributed feedback devices gratings optical components optical planar waveguide silicon photonics |
url | https://ieeexplore.ieee.org/document/9907827/ |
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