High-Order Accurate Integral Equation Based Mode Solver for Layered Nanophotonic Waveguides

Jin Hu; Garza Emmanuel; Carlos Perez-Arancibia; Constantine Sideris

doi:10.1109/IMS19712.2021.9574857

High-Order Accurate Integral Equation Based Mode Solver for Layered Nanophotonic Waveguides

Jin Hu, Garza Emmanuel, Carlos Perez-Arancibia, Constantine Sideris

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

Abstract

We present a novel high-order boundary integral equation based mode solver for layered nanophotonic waveguides featuring corners and junctions. The proposed solver leverages an indirect single-trace formulation for composite dielectrics which leads to a Müller-like integral equation posed on the cross-section of the material interfaces, and a high-order Nyström discretization for domains with corners. A variety of numerical examples demonstrate the superior accuracy of the proposed methodology as compared to standard commercial finite element and finite difference based mode solvers.

Original language	English
Title of host publication	2021 IEEE MTT-S International Microwave Symposium (IMS)
Pages	128-131
Number of pages	4
ISBN (Electronic)	978-1-6654-0307-8
DOIs	https://doi.org/10.1109/IMS19712.2021.9574857
Publication status	Published - 27 Oct 2021
Externally published	Yes
Event	2021 IEEE MTT-S International Microwave Symposium - Atlanta, United States Duration: 7 Jun 2021 → 25 Jun 2021 https://ieeexplore.ieee.org/xpl/conhome/9574790/proceeding

Conference

Conference	2021 IEEE MTT-S International Microwave Symposium
Country/Territory	United States
City	Atlanta
Period	7/06/21 → 25/06/21
Internet address	https://ieeexplore.ieee.org/xpl/conhome/9574790/proceeding

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10.1109/IMS19712.2021.9574857

Cite this

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title = "High-Order Accurate Integral Equation Based Mode Solver for Layered Nanophotonic Waveguides",

abstract = "We present a novel high-order boundary integral equation based mode solver for layered nanophotonic waveguides featuring corners and junctions. The proposed solver leverages an indirect single-trace formulation for composite dielectrics which leads to a M{\"u}ller-like integral equation posed on the cross-section of the material interfaces, and a high-order Nystr{\"o}m discretization for domains with corners. A variety of numerical examples demonstrate the superior accuracy of the proposed methodology as compared to standard commercial finite element and finite difference based mode solvers.",

author = "Jin Hu and Garza Emmanuel and Carlos Perez-Arancibia and Constantine Sideris",

note = "Funding Information: ACKNOWLEDGMENT The authors are grateful for support by the Air Force Office of Scientific Research (FA9550-20-1-0087), and by the National Science Foundation under Grant No. 1849965, and Grant No. 2030859 to the Computing Research Association for the CIFellows Project. C.P.-A. gratefully acknowledges support from FONDECYT Chile through Grant No. 11181032. Publisher Copyright: {\textcopyright} 2021 IEEE.; 2021 IEEE MTT-S International Microwave Symposium ; Conference date: 07-06-2021 Through 25-06-2021",

year = "2021",

month = oct,

day = "27",

doi = "10.1109/IMS19712.2021.9574857",

language = "English",

isbn = "978-1-6654-3141-5",

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T1 - High-Order Accurate Integral Equation Based Mode Solver for Layered Nanophotonic Waveguides

AU - Hu, Jin

AU - Emmanuel, Garza

AU - Perez-Arancibia, Carlos

AU - Sideris, Constantine

N1 - Funding Information: ACKNOWLEDGMENT The authors are grateful for support by the Air Force Office of Scientific Research (FA9550-20-1-0087), and by the National Science Foundation under Grant No. 1849965, and Grant No. 2030859 to the Computing Research Association for the CIFellows Project. C.P.-A. gratefully acknowledges support from FONDECYT Chile through Grant No. 11181032. Publisher Copyright: © 2021 IEEE.

PY - 2021/10/27

Y1 - 2021/10/27

N2 - We present a novel high-order boundary integral equation based mode solver for layered nanophotonic waveguides featuring corners and junctions. The proposed solver leverages an indirect single-trace formulation for composite dielectrics which leads to a Müller-like integral equation posed on the cross-section of the material interfaces, and a high-order Nyström discretization for domains with corners. A variety of numerical examples demonstrate the superior accuracy of the proposed methodology as compared to standard commercial finite element and finite difference based mode solvers.

AB - We present a novel high-order boundary integral equation based mode solver for layered nanophotonic waveguides featuring corners and junctions. The proposed solver leverages an indirect single-trace formulation for composite dielectrics which leads to a Müller-like integral equation posed on the cross-section of the material interfaces, and a high-order Nyström discretization for domains with corners. A variety of numerical examples demonstrate the superior accuracy of the proposed methodology as compared to standard commercial finite element and finite difference based mode solvers.

U2 - 10.1109/IMS19712.2021.9574857

DO - 10.1109/IMS19712.2021.9574857

M3 - Conference contribution

SN - 978-1-6654-3141-5

SP - 128

EP - 131

BT - 2021 IEEE MTT-S International Microwave Symposium (IMS)

T2 - 2021 IEEE MTT-S International Microwave Symposium

Y2 - 7 June 2021 through 25 June 2021

ER -

High-Order Accurate Integral Equation Based Mode Solver for Layered Nanophotonic Waveguides

Abstract

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