Coupled Mode Theory and FDTD Simulations of the Coupling Between Bent and Straight Optical Waveguides

K.R. Hiremath, Remco Stoffer, Manfred Hammer

Research output: Chapter in Book/Report/Conference proceedingConference contributionProfessional

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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 languageUndefined
Title of host publication8th Annual Symposium of the IEEE/LEOS Benelux Chapter
EditorsR.M de Ridder, R.M. de Ridder, G. Altena, G Altena, D.H. Geuzebroek, R. Dekker, R Dekker
Place of PublicationEnschede
PublisherUniversity of Twente
Pages33-36
Number of pages4
ISBN (Print)903651990X
Publication statusPublished - Nov 2003
Event8th Annual Symposium IEEE/LEOS Benelux Chapter 2003 - University of Twente, Enschede, Netherlands
Duration: 20 Nov 200321 Nov 2003
Conference number: 8

Publication series

Name
PublisherUniversity of Twente

Conference

Conference8th Annual Symposium IEEE/LEOS Benelux Chapter 2003
CountryNetherlands
CityEnschede
Period20/11/0321/11/03

Keywords

  • EWI-13959
  • METIS-212892
  • IR-58164

Cite this

Hiremath, K. R., Stoffer, R., & Hammer, M. (2003). Coupled Mode Theory and FDTD Simulations of the Coupling Between Bent and Straight Optical Waveguides. In R. M. de Ridder, R. M. de Ridder, G. Altena, G. Altena, D. H. Geuzebroek, R. Dekker, & R. Dekker (Eds.), 8th Annual Symposium of the IEEE/LEOS Benelux Chapter (pp. 33-36). Enschede: University of Twente.
Hiremath, K.R. ; Stoffer, Remco ; Hammer, Manfred. / Coupled Mode Theory and FDTD Simulations of the Coupling Between Bent and Straight Optical Waveguides. 8th Annual Symposium of the IEEE/LEOS Benelux Chapter. editor / R.M de Ridder ; R.M. de Ridder ; G. Altena ; G Altena ; D.H. Geuzebroek ; R. Dekker ; R Dekker. Enschede : University of Twente, 2003. pp. 33-36
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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.",
keywords = "EWI-13959, METIS-212892, IR-58164",
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isbn = "903651990X",
publisher = "University of Twente",
pages = "33--36",
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Hiremath, KR, Stoffer, R & Hammer, M 2003, Coupled Mode Theory and FDTD Simulations of the Coupling Between Bent and Straight Optical Waveguides. in RM de Ridder, RM de Ridder, G Altena, G Altena, DH Geuzebroek, R Dekker & R Dekker (eds), 8th Annual Symposium of the IEEE/LEOS Benelux Chapter. University of Twente, Enschede, pp. 33-36, 8th Annual Symposium IEEE/LEOS Benelux Chapter 2003, Enschede, Netherlands, 20/11/03.

Coupled Mode Theory and FDTD Simulations of the Coupling Between Bent and Straight Optical Waveguides. / Hiremath, K.R.; Stoffer, Remco; Hammer, Manfred.

8th Annual Symposium of the IEEE/LEOS Benelux Chapter. ed. / R.M de Ridder; R.M. de Ridder; G. Altena; G Altena; D.H. Geuzebroek; R. Dekker; R Dekker. Enschede : University of Twente, 2003. p. 33-36.

Research output: Chapter in Book/Report/Conference proceedingConference contributionProfessional

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T1 - Coupled Mode Theory and FDTD Simulations of the Coupling Between Bent and Straight Optical Waveguides

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AU - Hammer, Manfred

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Y1 - 2003/11

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.

KW - EWI-13959

KW - METIS-212892

KW - IR-58164

M3 - Conference contribution

SN - 903651990X

SP - 33

EP - 36

BT - 8th Annual Symposium of the IEEE/LEOS Benelux Chapter

A2 - de Ridder, R.M

A2 - de Ridder, R.M.

A2 - Altena, G.

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A2 - Dekker, R

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Hiremath KR, Stoffer R, Hammer M. Coupled Mode Theory and FDTD Simulations of the Coupling Between Bent and Straight Optical Waveguides. In de Ridder RM, de Ridder RM, Altena G, Altena G, Geuzebroek DH, Dekker R, Dekker R, editors, 8th Annual Symposium of the IEEE/LEOS Benelux Chapter. Enschede: University of Twente. 2003. p. 33-36