Dual resonance in a waveguide-coupled ring microresonator

Čtyroký, Jiřı́; Richter, Ivan; Sinor, M.

doi:10.1007/s11082-006-9037-5

Cited by 44 publications

(28 citation statements)

References 14 publications

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“…Due to coupling of the clockwise and counterclockwise propagating mode in the ring, caused for instance by surface roughness, splitting of the resonance into two dips is obtained [35,36]. Moreover, this resonator exhibits still 85% transmission on resonance and thus, the intrinsic quality factor of the resonator is not yet obtained.…”

Section: High Quality / Phase Sensitive Devicesmentioning

confidence: 99%

High-quality Si_3N_4 circuits as a platform for graphene-based nanophotonic devices

Gruhler¹,

Benz²,

Jang³

et al. 2013

Opt. Express

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Hybrid circuits combining traditional nanophotonic components with carbon-based materials are emerging as a promising platform for optoelectronic devices. We demonstrate such circuits by integrating singlelayer graphene films with silicon nitride waveguides as a new architecture for broadband optical operation. Using high-quality microring resonators and Mach-Zehnder interferometers with extinction ratios beyond 40 dB we realize flexible circuits for phase-sensitive detection on chip. Hybrid graphene-photonic devices are fabricated via mechanical transfer and lithographic structuring, allowing for prolonged light-matter interactions. Our approach holds promise for studying optical processes in lowdimensional physical systems and for realizing electrically tunable photonic circuits. ©2013 Optical Society of America

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Section: High Quality / Phase Sensitive Devicesmentioning

confidence: 99%

High-quality Si_3N_4 circuits as a platform for graphene-based nanophotonic devices

Gruhler¹,

Benz²,

Jang³

et al. 2013

Opt. Express

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“…What is more, this demonstrates that the coupling between the two modes is conservative rather than dissipative. From equations (14)- (17), the distortion of the electric field at the drop port and the emergence of light at the add port, due to μ 12 and f , are observed. Instead of a single resonance with a Lorentzian line shape, there are now two resonances with their own resonance frequency/wavelength, bandwidth and peak power.…”

Section: T-cmt Model For a Ring Resonatormentioning

confidence: 99%

“…So far, analysis of measurements on silicon microrings has attributed all backscattering to waveguide roughness distributed along the waveguide . The possible contribution to backreflection from the directional couplers has only been theoretically proposed , but has not yet been experimentally verified and quantitatively characterized. In this paper, we develop a fitting model that can explain and reproduce all kinds of split and non‐split resonances, and identify the origin of asymmetrically split resonances.…”

Section: Introductionmentioning

confidence: 99%

Backscattering in silicon microring resonators: a quantitative analysis

Vaerenbergh

Heyn

et al. 2016

Laser & Photonics Reviews

117

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Silicon microring resonators very often exhibit resonance splitting due to backscattering. This effect is hard to model in a quantitative and predictive way. This paper presents a behavioral circuit model for ring resonators that quantitatively explains the wide variations in resonance splitting observed in experiments. The model is based on an in-depth analysis of the contributions to backscattering by both the ring waveguides and the coupling sections, and it accurately explains the origin of asymmetric resonance splitting. Backscattering transforms unidirectional ring resonators into bidirectional circuits by coupling the clockwise and counter-clockwise circulating modes.In high-Q rings this will induce visible resonance splitting, but due to the stochastic nature of backscattering this splitting is different for each resonance. Our model, based on temporal coupled mode theory, and the associated fitting method are both accurate and robust, and can also, for the first time, explain asymmetrically split resonances. The cause of asymmetric resonance splitting is identified as the backcoupling in the coupling sections. This is experimentally confirmed, and we further analyze the dependency on gap and coupling length. Moreover, the wide variations in resonance splitting of one spectrum is also analyzed and successfully explained by our circuit model that incorporates most linear parasitic effects in the ring resonator. This analysis uncovers multi-cavity interference within the ring as the source of this variation.

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“…Otherwise, 4 × 4 matrices are the most convenient to describe the outputs at ports 1 and 4, and the modified outputs at ports 2 and 3 [18].…”

Section: Discussionmentioning

confidence: 99%