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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 18 — Aug. 29, 2011
  • pp: 17653–17668

Synthesis of high-order bandpass filters based on coupled-resonator optical waveguides (CROWs)

Hsi-Chun Liu and Amnon Yariv  »View Author Affiliations


Optics Express, Vol. 19, Issue 18, pp. 17653-17668 (2011)
http://dx.doi.org/10.1364/OE.19.017653


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Abstract

We present a filter design formalism for the synthesis of coupled-resonator optical waveguide (CROW) filters. This formalism leads to expressions and a methodology for deriving the coupling coefficients of CROWs for the desired filter responses and is based on coupled-mode theory as well as the recursive properties of the coupling matrix. The coupling coefficients are universal and can be applied to various types of resonators. We describe a method for the conversion of the coupling coefficients to the parameters based on ring resonators and grating defect resonators. The designs of Butterworth and Bessel CROW filters are demonstrated as examples.

© 2011 OSA

OCIS Codes
(130.2790) Integrated optics : Guided waves
(130.3120) Integrated optics : Integrated optics devices
(230.4555) Optical devices : Coupled resonators
(130.7408) Integrated optics : Wavelength filtering devices

ToC Category:
Integrated Optics

History
Original Manuscript: July 18, 2011
Revised Manuscript: August 9, 2011
Manuscript Accepted: August 10, 2011
Published: August 23, 2011

Citation
Hsi-Chun Liu and Amnon Yariv, "Synthesis of high-order bandpass filters based on coupled-resonator optical waveguides (CROWs)," Opt. Express 19, 17653-17668 (2011)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-18-17653


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