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...

Full description

Bibliographic Details
Main Authors: Haosen Tan, Weida Zhang, Yudong Chen, Yuhe Xia, Chris Newey, Tso-Min Chou, Nai-Hsiang Sun, Jerome K. Butler, Gary A. Evans
Format: Article
Language:English
Published: IEEE 2022-01-01
Series:IEEE Photonics Journal
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9907827/
_version_ 1797392296351629312
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/
work_keys_str_mv AT haosentan analysisoffirstordergratingsinsiliconphotonicwaveguides
AT weidazhang analysisoffirstordergratingsinsiliconphotonicwaveguides
AT yudongchen analysisoffirstordergratingsinsiliconphotonicwaveguides
AT yuhexia analysisoffirstordergratingsinsiliconphotonicwaveguides
AT chrisnewey analysisoffirstordergratingsinsiliconphotonicwaveguides
AT tsominchou analysisoffirstordergratingsinsiliconphotonicwaveguides
AT naihsiangsun analysisoffirstordergratingsinsiliconphotonicwaveguides
AT jeromekbutler analysisoffirstordergratingsinsiliconphotonicwaveguides
AT garyaevans analysisoffirstordergratingsinsiliconphotonicwaveguides