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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 8 — Apr. 9, 2012
  • pp: 9249–9263

Designing coupled-resonator optical waveguides based on high-Q tapered grating-defect resonators

Hsi-Chun Liu and Amnon Yariv  »View Author Affiliations

Optics Express, Vol. 20, Issue 8, pp. 9249-9263 (2012)

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We present a systematic design of coupled-resonator optical waveguides (CROWs) based on high-Q tapered grating-defect resonators. The formalism is based on coupled-mode theory where forward and backward waveguide modes are coupled by the grating. Although applied to strong gratings (periodic air holes in single-mode silicon-on-insulator waveguides), coupled-mode theory is shown to be valid, since the spatial Fourier transform of the resonant mode is engineered to minimize the coupling to radiation modes and thus the propagation loss. We demonstrate the numerical characterization of strong gratings, the design of high-Q tapered grating-defect resonators (Q>2 × 106, modal volume = 0.38·(λ/n)3), and the control of inter-resonator coupling for CROWs. Furthermore, we design Butterworth and Bessel filters by tailoring the numbers of holes between adjacent defects. We show with numerical simulation that Butterworth CROWs are more tolerant against fabrication disorder than CROWs with uniform coupling coefficient.

© 2012 OSA

OCIS Codes
(140.4780) Lasers and laser optics : Optical resonators
(230.4555) Optical devices : Coupled resonators
(230.5298) Optical devices : Photonic crystals
(130.7408) Integrated optics : Wavelength filtering devices

ToC Category:
Integrated Optics

Original Manuscript: February 7, 2012
Revised Manuscript: March 30, 2012
Manuscript Accepted: April 2, 2012
Published: April 6, 2012

Hsi-Chun Liu and Amnon Yariv, "Designing coupled-resonator optical waveguides based on high-Q tapered grating-defect resonators," Opt. Express 20, 9249-9263 (2012)

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