HCMT models of optical microring-resonator circuits

Manfred Hammer

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

Circuits of dielectric integrated optical microring resonators are addressed through a two-dimensional hybrid analytical/numerical coupled mode theory (HCMT) model. Analytical modes of all straight and curved cores form templates for the optical fields of the entire circuits. Our variational technique then generates solutions for the amplitude functions in their natural Cartesian and polar coordinates, discretized by one-dimensional finite elements. Bidirectional wave propagation through all channels and pronounced reflections can be taken into account. The series of examples includes rings coupled in parallel, rows of cavities (coupled resonator optical waveguides) of varying lengths, a triangular photonic molecule, and a resonator with a slit ring to illustrate the role of intra-cavity reflections.
Original languageUndefined
Pages (from-to)2237-2246
Number of pages10
JournalJournal of the Optical Society of America. B: Optical physics
Volume27
Issue number11
DOIs
Publication statusPublished - 2010

Keywords

  • EWI-18576
  • numerical / analyticalmodeling
  • IR-73761
  • Coupled mode theory
  • METIS-276115
  • Opticalmicroring-resonators

Cite this

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HCMT models of optical microring-resonator circuits. / Hammer, Manfred.

In: Journal of the Optical Society of America. B: Optical physics, Vol. 27, No. 11, 2010, p. 2237-2246.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - HCMT models of optical microring-resonator circuits

AU - Hammer, Manfred

N1 - 10.1364/JOSAB.27.002237

PY - 2010

Y1 - 2010

N2 - Circuits of dielectric integrated optical microring resonators are addressed through a two-dimensional hybrid analytical/numerical coupled mode theory (HCMT) model. Analytical modes of all straight and curved cores form templates for the optical fields of the entire circuits. Our variational technique then generates solutions for the amplitude functions in their natural Cartesian and polar coordinates, discretized by one-dimensional finite elements. Bidirectional wave propagation through all channels and pronounced reflections can be taken into account. The series of examples includes rings coupled in parallel, rows of cavities (coupled resonator optical waveguides) of varying lengths, a triangular photonic molecule, and a resonator with a slit ring to illustrate the role of intra-cavity reflections.

AB - Circuits of dielectric integrated optical microring resonators are addressed through a two-dimensional hybrid analytical/numerical coupled mode theory (HCMT) model. Analytical modes of all straight and curved cores form templates for the optical fields of the entire circuits. Our variational technique then generates solutions for the amplitude functions in their natural Cartesian and polar coordinates, discretized by one-dimensional finite elements. Bidirectional wave propagation through all channels and pronounced reflections can be taken into account. The series of examples includes rings coupled in parallel, rows of cavities (coupled resonator optical waveguides) of varying lengths, a triangular photonic molecule, and a resonator with a slit ring to illustrate the role of intra-cavity reflections.

KW - EWI-18576

KW - numerical / analyticalmodeling

KW - IR-73761

KW - Coupled mode theory

KW - METIS-276115

KW - Opticalmicroring-resonators

U2 - 10.1364/JOSAB.27.002237

DO - 10.1364/JOSAB.27.002237

M3 - Article

VL - 27

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EP - 2246

JO - Journal of the Optical Society of America. B: Optical physics

JF - Journal of the Optical Society of America. B: Optical physics

SN - 0740-3224

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