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Applied Optics

Slow light and fast light in microfiber double-knot resonator with a parallel structure

Yiping Xu, Liyong Ren, Chengju Ma, Xu‐Dong Kong, Kaili Ren

Published Oct 18, 2016• 6 citations
Publisher

Abstract

Based on the theoretical model of a microfiber double-knot resonator with a parallel structure, numerical simulations on the transmission spectrum, the phase, and the group time delay of the resonator as a function of wavelengths are given. We find that with this kind of resonator both slow light and fast light can be obtained at different resonant wavelengths. Experimentally, such a kind of microfiber resonator was fabricated successfully. The transmission spectrum of the fabricated resonator is well consistent with the theoretical simulation. A slow-light delay of about 38 ps and a fast-light advance of about 40 ps are demonstrated at different wavelengths, which might benefit the resonator to the applications in data delay lines, optical buffers, and optical memories.

DOI
10.1364/ao.55.008612

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Based on the theoretical model of a microfiber double-knot resonator with a parallel structure, numerical simulations on the transmission spectrum, the phase, and the group time delay of the resonator as a function of wavelengths are given. We find that with this kind of resonator both slow light and fast light can be obtained at different resonant wavelengths. Experimentally, such a kind of microfiber resonator was fabricated successfully. The transmission spectrum of the fabricated resonator is well consistent with the theoretical simulation. A slow-light delay of about 38 ps and a fast-light advance of about 40 ps are demonstrated at different wavelengths, which might benefit the resonator to the applications in data delay lines, optical buffers, and optical memories.
In this paper, a compact slow-light microfiber coil resonator (MCR) is fabricated and the slow-light properties of it are analyzed and tested. Based on coupled-wave theory, a theoretical model for describing the slow-light propagation in the MCR is established. Experimentally, the MCR slow-light element is fabricated and its relative slow-light time delay is measured. The group velocity of the light pulse in the MCR slow-light element can be reduced to about 0.47c (c is the speed of light in vacuum) and the shape of the light pulse passing through the MCR is well preserved.
Based on an analog of electromagnetically induced transparency (EIT) in microfiber knot resonators with a two-ring parallel connection structure, a wide bandwidth and zero-dispersion slow-light waveguide is proposed. The EIT-like transmission spectrum with the variation of wavelengths for different coupling coefficients is numerical simulated. By appropriately adjusting the coupling coefficients of the two knot rings, a group time delay of about 72.4 ps with a flat wavelength bandwidth of about 82.7 pm and a full width at half-maximum of about 228 pm at one of the induced transparency windows is achieved theoretically. And the group time delay dispersion at the same induced transparency window nearly reaches to zero with a wavelength bandwidth of about 82.7 pm.
At present, miniaturized, low loss and integrated slow-light elements are the urgent needs for the slow-light technology development. In this paper, we study the slow-ight effects in a compact microfiber coil resonator (MCR) structure and fabricate the compact MCR slow-light element. Furthermore, we test its slow-light properties and find that the optical pulse propagating in the MCR can be delayed about 30 ps. By caculating, we find that the group velocity of the light pulse propagating in the MCR slow-light element can be reduced to about 0.47c (c is the speed of light in vacuum) and the shape of the light pulse passing through the MCR keeps well.
We propose a simple and compact slow-light element by use of an optical microcoil resonator (OMR) constituted by two microfiber coils. Based on the matrix exponential method, we solve the coupled-wave equations of the OMR with n turns of microfiber coils and obtain a general solution. Simulations indicate that a tunable slow-light propagation can be obtained by controlling the coupling coefficient between the two adjacent microfiber coils by means of regulating the voltage applied to the ferroelectric crystal. A slow-light time delay up to 62 ps with a bandwidth of 0.4 nm is performed at the wavelength around 1.5 μm.
Tunable slow and fast light generation in a silicon-on-insulator (SOI) Fano resonator is proposed and experimentally demonstrated. The slow and fast light generation with symmetric and asymmetric coupling conditions of the Fano resonator is theoretically analyzed. Under a slightly imbalanced coupling condition, the two output ports of the Fano resonator could produce a fast light and a slow light, respectively. By utilizing the thermo-optic (TO) effect to change the phase difference of the two optical beams coupled into the resonator, the transition of fast and slow light can be realized at the fixed resonance wavelength. Experimental results show that a slow-to-fast transition (group delay from 0.852 to -1.057 ns) at one resonance wavelength, and a fast-to-slow transition (group delay from -0.22 to 0.867 ns) at another resonance wavelength are realized simultaneously by controlling the microheater to tune the phase difference.
Electromagnetically-induced transparency (EIT), classically generated by the coherent interaction between light and multilevel atoms, is a cutting-edge research theme in optical memories. Unfortunately, the strict requirements of gaseous atoms and particular frequencies that obey atomic transitions pose a challenge to practical application. Here we propose an all-fiber monolithic microfiber bridged ring resonator (MBRR), and experimentally demonstrate its EIT-like effect called microfiber resonator induced transparency (MRIT). Because the MRIT is induced by destructive interference between two counter propagating modes inside the cavity, the MBRR shows excellent light velocity control ability, with both fast light and slow light up to several nanoseconds in theory. Continuous pulse delay tuning from −60  ps (fast light) to +160  ps (slow light) within one MBRR was experimentally achieved. The pulse retardation of the MBRR is one order of magnitude larger than that of previously reported microfiber resonators. The proposed MBRR with unique bridged structure features such as multi-channels, all-fiber structure, compact size, and low cost, could be applied in quantum computation, information storage, optical processing, and fiber sensing.