Coupled resonator-induced transparency in ring-bus-ring Mach-Zehnder interferometer

Zhang, Y.; Darmawan, S.; Tobing, Landobasa Y. M.; Mei, Ting; Zhang, D. H.

doi:10.1364/josab.28.000028

Cited by 50 publications

(38 citation statements)

References 20 publications

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“…Considering that the power leaving the rings per round is equal to the change rate of energy in time domain, we have jS out j 2 t 1 2 jU 1 t j 2 t 2 2 jU 2 tj 2 η 1 2 ju 1 tj 2 η 2 2 ju 2 tj 2 , where t 1;2 represents the cross-coupling coefficients between of the two rings and the bus in the TMF. Between t 1;2 and r 0 , there exists a relation of r 0 2 t 1 2 t 1 2 1 [11], if the loss-free coupling is assumed. Thus, the coupling coefficients in spatial and temporal formulations are related as η 1;2 2 t 1;2 2 v g L 1;2 −1 .…”

Section: Theoretical Analysismentioning

confidence: 99%

“…However, in the above examples, most devices are based on the 2 × 2 coupler, but few are based on the 3 × 3 coupler (tricoupler) [10]. In our previous work [11,12], the transfer matrix formalism (TMF) was developed to investigate a ring-bus-ring Mach-Zehnder interferometer (RBR-MZI) (see Fig. 1), where the resonant modes interact with each other at the tricoupler, demonstrating the capability of generating EIT-like transparent spectra in such a device.…”

Section: Introductionmentioning

confidence: 99%

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Temporal coupled-mode theory of ring–bus–ring Mach–Zehnder interferometer

2012

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The temporal coupled-mode theory (TCMT) for a ring-bus-ring Mach-Zehnder interferometer device is developed by taking energy conservation into account. The intercavity interaction in the device is facilitated via a tricoupler, which makes the decay of modes quantitatively different from that in other existing resonator schemes. The TCMT is related to the transfer matrix formalism with energy conservation and the Q factor, and it predicts results in good agreement with the experimental results. The mode analysis from the TCMT is quite illustrative because it can mimic the transparency as an electromagnetically induced transparency expression. The analysis of the tricoupler is applicable for analyzing the transparent resonance in two other similar configurations.

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Section: Theoretical Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Temporal coupled-mode theory of ring–bus–ring Mach–Zehnder interferometer

2012

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“…Various applications of EIT have been proposed and demonstrated such as photon controlling 3 , light storage 5 , and slow light 8 . Recent theoretical analyses and experimental demonstrations have revealed that the photonic analogue to EIT phenomenon such as coupled-resonator-induced transparency (CRIT) can be observed in a coupled resonator system due to the coherent interference between the two resonance pathways [9][10][11][12][13][14] . Various applications based on CRIT have been demonstrated such as light storage [15][16][17] , slow light 18 , and wavelengths routing 19 .…”

Section: Introductionmentioning

confidence: 99%

XOR/XNOR directed logic circuit based on coupled-resonator-induced transparency

Tian

Zhang

Yang

2013

Optics and Photonics for Information Processing VII

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Coupled-resonator-induced transparency (CRIT) effect has been widely studied in parallelly coupled double microring resonators (MRRs), and various applications based on the CRIT effect have been demonstrated. We report the proposal and demonstration of a directed logic circuit with the functions of XOR and XNOR using CRIT. Two electrical signals applied to two coupled MRRs represent two operands of the logic operations, and the operation results are represented by the output optical signal. As proof-of-concept, the thermo-optic modulation scheme is employed with an operating speed of 10 kbps.

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“…t 1,2 is the transmission coupling coefficient between the ring and waveguide at spatial formulation. They have the relationship of r 0 2 +t 1 2 +t 2 2 =1, where r 0 is the reflection coupling coefficient for the center waveguide [12]. Taking account of (9), we can yield the relationship of the coupling coefficients in time and in space,…”

Section: Introductionmentioning

confidence: 99%

Temporal coupled mode theory in ring-bus-ring configuration

Zhang

Darmawan

Mei

et al. 2010

Advances in Optoelectronics and Micro/Nano-Optics

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We develop the temporal coupled mode theory for the ring-bus-ring device by taking account of the energyconservation. The presence of the center waveguide in the tricoupler section of the RBR facilitates the interaction between the two side-coupled rings. The correspondence between the coupled mode theory in time and transfer matrix formalism (TMF) is established. A very good agreement is obtained between the TMF and the 2D finite-difference time-domain simulations (FDTD). Some applications using RBR device such as channel dropping filter and selective power splitter are presented.

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Coupled resonator-induced transparency in ring-bus-ring Mach-Zehnder interferometer

Cited by 50 publications

References 20 publications

Temporal coupled-mode theory of ring–bus–ring Mach–Zehnder interferometer

Temporal coupled-mode theory of ring–bus–ring Mach–Zehnder interferometer

XOR/XNOR directed logic circuit based on coupled-resonator-induced transparency

Temporal coupled mode theory in ring-bus-ring configuration

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