Comparison of coupled mode theory and FDTD simulations of coupling between bent and straight optical waveguides

Remco Stoffer; Kirankumar R. Hiremath; Manfred Hammer

doi:10.1063/1.1764029

Comparison of coupled mode theory and FDTD simulations of coupling between bent and straight optical waveguides

Remco Stoffer, Kirankumar R. Hiremath, Manfred Hammer

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

11 Citations (Scopus)

259 Downloads (Pure)

Abstract

Analysis of integrated optical cylindrical microresonators involves the coupling between a straight waveguide and a bent waveguide. Our (2D) variant of coupled mode theory is based on analytically represented mode profiles. With the bend modes expressed in Cartesian coordinates, coupled mode equations can be derived in a classical way and solved by numerical integration. Proper manipulation of the propagation matrix leads to stable results even in parameter domains of compact and/or radiative structures, which seemed unsuitable for a perturbational approach due to oscillations of the matrix elements along the propagation. Comparisons with FDTD calculations show convincing agreement.

Original language	English
Title of host publication	Microresonators As Building Blocks For VLSI Photonics
Subtitle of host publication	International School of Quantum Electronics, 39th Course
Editors	Francesco Michelotti, Alfred Driessen, Mario Bertolotti
Publisher	American Institute of Physics
Pages	366-377
Number of pages	12
ISBN (Print)	0-7354-0184-5
DOIs	https://doi.org/10.1063/1.1764029
Publication status	Published - Jun 2004
Event	Microresonators as building blocks for VLSI photonics 2003 : 39th Course International School of Quantum Electronics - Erice, Italy Duration: 18 Oct 2003 → 25 Oct 2003

Publication series

Name	AIP Conference Proceedings
Publisher	AIP
Volume	709
ISSN (Print)	0094-243X

Conference

Conference	Microresonators as building blocks for VLSI photonics 2003
Country/Territory	Italy
City	Erice
Period	18/10/03 → 25/10/03

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10.1063/1.1764029

Stoffer2004comparisonAccepted author version, 393 KB

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Stoffer, R., Hiremath, K. R., & Hammer, M. (2004). Comparison of coupled mode theory and FDTD simulations of coupling between bent and straight optical waveguides. In F. Michelotti, A. Driessen, & M. Bertolotti (Eds.), Microresonators As Building Blocks For VLSI Photonics: International School of Quantum Electronics, 39th Course (pp. 366-377). (AIP Conference Proceedings; Vol. 709). American Institute of Physics. https://doi.org/10.1063/1.1764029

Stoffer, Remco ; Hiremath, Kirankumar R. ; Hammer, Manfred. / Comparison of coupled mode theory and FDTD simulations of coupling between bent and straight optical waveguides. Microresonators As Building Blocks For VLSI Photonics: International School of Quantum Electronics, 39th Course. editor / Francesco Michelotti ; Alfred Driessen ; Mario Bertolotti. American Institute of Physics, 2004. pp. 366-377 (AIP Conference Proceedings).

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title = "Comparison of coupled mode theory and FDTD simulations of coupling between bent and straight optical waveguides",

abstract = "Analysis of integrated optical cylindrical microresonators involves the coupling between a straight waveguide and a bent waveguide. Our (2D) variant of coupled mode theory is based on analytically represented mode profiles. With the bend modes expressed in Cartesian coordinates, coupled mode equations can be derived in a classical way and solved by numerical integration. Proper manipulation of the propagation matrix leads to stable results even in parameter domains of compact and/or radiative structures, which seemed unsuitable for a perturbational approach due to oscillations of the matrix elements along the propagation. Comparisons with FDTD calculations show convincing agreement.",

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booktitle = "Microresonators As Building Blocks For VLSI Photonics",

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Stoffer, R, Hiremath, KR & Hammer, M 2004, Comparison of coupled mode theory and FDTD simulations of coupling between bent and straight optical waveguides. in F Michelotti, A Driessen & M Bertolotti (eds), Microresonators As Building Blocks For VLSI Photonics: International School of Quantum Electronics, 39th Course. AIP Conference Proceedings, vol. 709, American Institute of Physics, pp. 366-377, Microresonators as building blocks for VLSI photonics 2003
, Erice, Italy, 18/10/03. https://doi.org/10.1063/1.1764029

Comparison of coupled mode theory and FDTD simulations of coupling between bent and straight optical waveguides. / Stoffer, Remco; Hiremath, Kirankumar R.; Hammer, Manfred.
Microresonators As Building Blocks For VLSI Photonics: International School of Quantum Electronics, 39th Course. ed. / Francesco Michelotti; Alfred Driessen; Mario Bertolotti. American Institute of Physics, 2004. p. 366-377 (AIP Conference Proceedings; Vol. 709).

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

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AU - Hiremath, Kirankumar R.

AU - Hammer, Manfred

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N2 - Analysis of integrated optical cylindrical microresonators involves the coupling between a straight waveguide and a bent waveguide. Our (2D) variant of coupled mode theory is based on analytically represented mode profiles. With the bend modes expressed in Cartesian coordinates, coupled mode equations can be derived in a classical way and solved by numerical integration. Proper manipulation of the propagation matrix leads to stable results even in parameter domains of compact and/or radiative structures, which seemed unsuitable for a perturbational approach due to oscillations of the matrix elements along the propagation. Comparisons with FDTD calculations show convincing agreement.

AB - Analysis of integrated optical cylindrical microresonators involves the coupling between a straight waveguide and a bent waveguide. Our (2D) variant of coupled mode theory is based on analytically represented mode profiles. With the bend modes expressed in Cartesian coordinates, coupled mode equations can be derived in a classical way and solved by numerical integration. Proper manipulation of the propagation matrix leads to stable results even in parameter domains of compact and/or radiative structures, which seemed unsuitable for a perturbational approach due to oscillations of the matrix elements along the propagation. Comparisons with FDTD calculations show convincing agreement.

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DO - 10.1063/1.1764029

M3 - Conference contribution

SN - 0-7354-0184-5

T3 - AIP Conference Proceedings

SP - 366

EP - 377

BT - Microresonators As Building Blocks For VLSI Photonics

A2 - Michelotti, Francesco

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T2 - Microresonators as building blocks for VLSI photonics 2003<br/>

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Stoffer R, Hiremath KR, Hammer M. Comparison of coupled mode theory and FDTD simulations of coupling between bent and straight optical waveguides. In Michelotti F, Driessen A, Bertolotti M, editors, Microresonators As Building Blocks For VLSI Photonics: International School of Quantum Electronics, 39th Course. American Institute of Physics. 2004. p. 366-377. (AIP Conference Proceedings). doi: 10.1063/1.1764029

Comparison of coupled mode theory and FDTD simulations of coupling between bent and straight optical waveguides

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