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IEEE Photonics Technology Letters

Oscillator Model Analysis for Slow Light in Bright-Dark-Dark Waveguide Systems

Zhihui He, Hongjian Li, Shiping Zhan, Boxun Li, Zhiquan Chen, Hui Xu

Published Aug 13, 2015• 20 citations
Publisher

Abstract

The tunable wideband slow-light based on plasmonic analogue of electromagnetically induced transparency (EIT) in bright-dark-dark mode waveguide systems is investigated in this letter. A three-oscillator model is established to characterize optical responses and slow-light effects in the waveguide systems. The main dependent factors of slow-light effects based on plasmonic analogue of EIT, namely, the cavity-cavity separation and media environment of resonators, are numerically and theoretically discussed in this letter. We find that both the group index and the bandwidth of the slow light in the bright-dark-dark waveguide structures show better performance than those in the normal bright-dark ones. These results suggest that the contradiction between the large group index and the wideband slow light in the bright-dark mode waveguide system can be weakened. At the same time, tunable wideband slow-light effects are also achieved. Our researches may have an application in optical slow-light devices.

DOI
10.1109/lpt.2015.2466461

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The tunable wideband slow-light based on plasmonic analogue of electromagnetically induced transparency (EIT) in bright-dark-dark mode waveguide systems is investigated in this letter. A three-oscillator model is established to characterize optical responses and slow-light effects in the waveguide systems. The main dependent factors of slow-light effects based on plasmonic analogue of EIT, namely, the cavity-cavity separation and media environment of resonators, are numerically and theoretically discussed in this letter. We find that both the group index and the bandwidth of the slow light in the bright-dark-dark waveguide structures show better performance than those in the normal bright-dark ones. These results suggest that the contradiction between the large group index and the wideband slow light in the bright-dark mode waveguide system can be weakened. At the same time, tunable wideband slow-light effects are also achieved. Our researches may have an application in optical slow-light devices.
Electromagnetically induced transparency-like (EIT-like) effect is a promising research area for applications of slow light, sensing and metamaterials. The EIT-like effect is generally formed by the destructive interference of bright-dark mode coupling and bright-bright mode coupling. There are seldom reports about EIT-like effect realized by the coupling of two dark modes. In this paper, we numerically and theoretically demonstrated that the EIT-like effect is achieved through dark-dark mode coupling of two waveguide resonances in a compound nanosystem with metal grating and multilayer structure. If we introduce |1⟩, |2⟩ and |3⟩ to represent the surface plasmon polaritons (SPPs) resonance, waveguide resonance in layer 2, and waveguide resonance in layer 4, the destructive interference occurs between two pathways of |0⟩→|1⟩→|2⟩ and |0⟩→|1⟩→|2⟩→|3⟩→|2⟩, where |0⟩ is the ground state without excitation. Our work will stimulate more studies on EIT-like effect with dark-dark mode coupling in other systems.
Abstract Electromagnetically induced transparency (EIT), characterised by strong dispersion and a narrow transparency window, holds great potential for developing slow light devices in communications. However, in the GHz regime, achieving a simple EIT structure with high group delay and tunability remains challenging. This paper reports an asymmetric plasma waveguide capable of producing EIT analogues, as demonstrated by finite element method simulations and a two-oscillator model (TOM). The asymmetric plasma waveguide consists of a plasma–dielectric–plasma structure with non-uniformly sized teeth. The results indicate that the EIT analogue is attributed to detuning induced by the difference in tooth size. Specifically, the detuning creates an interference band, which governs the interaction between two bright modes (i.e. resonance modes in the two teeth). The TOM aligns excellently with numerical simulations. Notably, unlike previous works, the TOM is also analysed from a fundamental energy perspective. The operating frequency can be easily tuned by adjusting plasma frequencies. The maximum group delay can reach 8.5 ns. Our study advances the understanding of the EIT phenomenon in slot waveguides with asymmetric resonators and may offer a new platform for developing actively tunable microwave slow-light devices.
Slow light technique has significant potential applications in many contemporary photonic device developments for integrated all-optical circuit, such as buffers, regenerators, switches and interferometers. In this paper, we present an efficient coupling mechanism of an electromagnetically induced transparency like (EIT-like) effect in an all-dielectric nano-metamaterial. This EIT-like effect is generated by destructive interference between a radiative Fabry-Perot (FP) mode and a dark waveguide (WG) mode, which is based on a combined structure of a dielectric grating and multilayer films. The dark WG mode is excited by guided mode of dielectric grating instead of radiative FP mode. In analogy to the molecular transition process, the FP mode, guided mode and WG mode are denoted by excited states of |1〉, |2〉 and |3〉. The two coupling pathways of the EIT-like effect in our metamaterial are |0〉 → |1〉 and |0〉 → |2〉 → |3〉 → |1〉, where |0〉 is the ground state. The simulated resonant wavelength of WG mode is consistent with theoretical result. We further confirm this EIT-like effect through a two-oscillator coupling analysis. We achieve a group refractive index of 913.6 by adjusting these two modes coupling of the EIT-like effect, which is useful for developing slow light device. This work provides a valuable solution to realize electromagnetically induced transparency in all-dielectric nanomaterial.
We investigate the plasmonic analog of electromagnetically induced transparency (EIT) using two adjacent graphene-based Fabry-Perot (F-P) resonators side coupling to a nanoribbon waveguide. By the coupling mode theory in time and F-P resonant model, the destructive interference from the coupling of the two F-P resonators results in the EIT-like optical response. The induced peak and width of the transparency window can be dynamically manipulated by varying the coupling distance of the two resonators, and the transparent window is easily shifted by tuning the resonator length or the chemical potential of the graphene nanoribbon. In order to verify the characteristics of slow light, the group index profile is analyzed at different coupling distances. The proposed graphene-based EIT-like system could open up new opportunities for potential applications in plasmonic slow light and optical information buffering devices.
We present a broadband electromagnetically induced transparency-like (EIT-like) effect in a microwave waveguide system by employing a bright meta-atom side-coupled to a linear chain of dark meta-atoms with a hybridization bandgap (HBG). We find that such a configuration can generate a wideband EIT response of up to 145 MHz, covering 23.7% of the central frequency. We also show that the EIT bandwidth can even extend to 211 MHz by further broadening the HBG while keeping the device volume unchanged. We emphasize that the EIT-like meta-molecules are subwavelength structures with only about one tenth of the operating wavelength. Our findings will be beneficial for realizing compact broadband slow light components in communication systems.
We theoretically and numerically investigate a low-power, ultrafast, and dynamic all-optical tunable plasmonic analog to electromagnetically induced transparency (EIT) in two nanodisk resonators side-coupled to a metal-insulator-metal plasmonic waveguide system. The optical Kerr effect is enhanced by the slow light effect of the plasmonic EIT-like effect and the plasmonic waveguide based on graphene-Ag composite material structures with giant effective Kerr nonlinear coefficient. The optical Kerr effect modulation method is applied to improve tuning rate with response time of subpicoseconds or even femtoseconds. With dynamically tuning the propagation phase of the plasmonic waveguide, π-phase shift of the transmission spectrum in the plasmonic EIT-like system is achieved under excitation of a pump light with an intensity as low as 5.85 MW/cm2. The group delay is controlled between 0.09 and 0.4 ps. All observed schemes are analyzed rigorously through finite-difference time-domain simulations and coupled-mode formalism. Results show a new direction toward the low power consumption and ultrafast responses of integration plasmonic photonic devices and all-optical dynamical storage of light devices in optical communication and quantum information processing.