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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry van Driel
  • Vol. 27, Iss. 11 — Nov. 1, 2010
  • pp: 2237–2246

HCMT models of optical microring-resonator circuits

Manfred Hammer  »View Author Affiliations


JOSA B, Vol. 27, Issue 11, pp. 2237-2246 (2010)
http://dx.doi.org/10.1364/JOSAB.27.002237


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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.

© 2010 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(130.2790) Integrated optics : Guided waves
(130.3120) Integrated optics : Integrated optics devices
(130.7408) Integrated optics : Wavelength filtering devices

ToC Category:
Integrated Optics

History
Original Manuscript: June 24, 2010
Manuscript Accepted: July 18, 2010
Published: October 12, 2010

Citation
Manfred Hammer, "HCMT models of optical microring-resonator circuits," J. Opt. Soc. Am. B 27, 2237-2246 (2010)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-27-11-2237

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