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

Liu, Hsi-Chun and Yariv, Amnon (2012) Designing coupled-resonator optical waveguides based on high-Q tapered grating-defect resonators. Optics Express, 20 (8). pp. 9249-9263. ISSN 1094-4087. doi:10.1364/OE.20.009249. https://resolver.caltech.edu/CaltechAUTHORS:20120523-080117597

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Abstract

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 × 10^6, 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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1364/OE.20.009249DOIUNSPECIFIED
http://www.opticsinfobase.org/oe/abstract.cfm?uri=oe-20-8-9249PublisherUNSPECIFIED
Additional Information:© 2012 Optical Society of America. Received 7 Feb 2012; revised 30 Mar 2012; accepted 2 Apr 2012; published 6 Apr 2012. The authors thank Christos Santis for helpful discussions. This work was supported by National Science Foundation and The Army Research Office.
Funders:
Funding AgencyGrant Number
NSFUNSPECIFIED
Army Research Office (ARO)UNSPECIFIED
Issue or Number:8
Classification Code:OCIS codes: (140.4780) Optical resonators; (230.4555) Coupled resonators; (230.5298) Photonic crystals; (130.7408) Wavelength filtering devices
DOI:10.1364/OE.20.009249
Record Number:CaltechAUTHORS:20120523-080117597
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20120523-080117597
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:31602
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:23 May 2012 16:22
Last Modified:09 Nov 2021 19:56

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