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Physical Review A

Transition between coupled-resonator-induced transparency and absorption

Shuting Guo, Yuhong Zhang, Liu-Le Wu, Ming-Yong Ye, Xiu‐Min Lin

Published Mar 17, 2021• 16 citations
Publisher

Abstract

Electromagnetically induced transparency and absorption in atomic systems have applications such as slow-light generation. Coupled-resonator-induced transparency (CRIT) and absorption (CRIA) are the optical analogy to them. Here we theoretically and experimentally study CRIT and CRIA in two directly coupled whispering-gallery-mode microresonators. The theoretical results give conditions for observing CRIT and CRIA, and predict that a transition between them will happen if we change the coupling strength between the two microresonators or the coupling strength between the fiber taper and the first microresonator. The experimental results demonstrate the transitions between CRIT and CRIA using a microsphere coupled to a sausagelike microresonator. The obtained results give some guidelines to observe CRIT and CRIA.

DOI
10.1103/physreva.103.033510

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Electromagnetically induced transparency and absorption in atomic systems have applications such as slow-light generation. Coupled-resonator-induced transparency (CRIT) and absorption (CRIA) are the optical analogy to them. Here we theoretically and experimentally study CRIT and CRIA in two directly coupled whispering-gallery-mode microresonators. The theoretical results give conditions for observing CRIT and CRIA, and predict that a transition between them will happen if we change the coupling strength between the two microresonators or the coupling strength between the fiber taper and the first microresonator. The experimental results demonstrate the transitions between CRIT and CRIA using a microsphere coupled to a sausagelike microresonator. The obtained results give some guidelines to observe CRIT and CRIA.
Optical behavior analogous to electromagnetically induced transparency and absorption is observed in experiments using coupled fused-silica microspheres. This behavior results from interference between coresonant whispering-gallery modes of the two spheres. Coupled-resonator-induced transparency and absorption are observed. Which effect is seen depends on the strength of coupling of incident light from a tapered fiber into the first sphere and on the strength of coupling between the two spheres. The observed effects can enhance microresonator performance in various applications.
Electromagnetically induced transparency (EIT) and absorption (EIA) are two phenomena that can be observed in whispering-gallery-mode (WGM) optical microresonators. Transition from EIT to EIA has potential applications in optical switching, filtering and sensing. In this paper an observation of the transition from EIT to EIA in a single WGM microresonator is presented. A fiber taper is used to couple light into and out of a sausage-like microresonator (SLM) that contains two coupled optical modes with significantly different quality factors. By stretching the SLM axially the resonance frequencies of the two coupled modes are tuned to the same, a transition from EIT to EIA is then observed in the transmission spectra when the fiber taper is moved closer to the SLM. It is the special spatial distribution of the optical modes of the SLM that provide a theoretical basis for the observation.
Coupled-resonator-induced transparency (CRIT) and coupled-resonator-induced absorption (CRIA) are the all-optical analogs of electromagnetically induced transparency (EIT) and electromagnetically induced absorption (EIA), and enable an optical pulse to propagate subluminally and superluminally in integrated photonic systems, respectively. Here, we describe the results of a theoretical study, which reveals a reversible CRIA-CRIT transition using coupled optical ring resonators. Analogous to the dispersion reversal occurring in the EIA-EIT transition, the dispersion also reverses during the CRIA-CRIT transition. Besides the EIA-EIT crossover analogy, we describe additional analogs of the coherent atomic phenomena arising in the CRIA-CRIT transition. We also discuss the specific conditions that lead to strongly enhanced dispersion. Furthermore, in contrast to the previous studies on coupled resonators, we reveal acquiring a critically and undercoupled slow-light CRIT from an overcoupled fast-light CRIA. Our experimentally viable study provides a route for the dynamic control and reversal of dispersion, which, among other, is important for quantum information technology, the Fresnel light dragging effect, temporal cloaking, and enhanced performance of the optical devices.
We propose a microresonator scheme for a Mach-Zehnder interferometer in which a microresonator is side coupled to one arm and the other is inserted in the other arm, to produce coupled resonator-induced transparency (CRIT) and absorption (CRIA) effects. In this system, CRIT and CRIA effects with one effect next to another over a frequency range when two microresonators are identical and Fano-resonance line shape when the sizes of two microresonators are unequal are achieved. We also theoretically investigate the improving optical bistability characteristic based on CRIT.
Optical interference and the related effects are key elements which could exhibit the properties of both classical and quantum optical systems. Usually, the interference between different optical paths may produce intriguing effects, such as the electromagnetically induced transparent (EIT) and so on. In this work, we study the interference effects in directly coupled whispering-gallery mode (WGM) micro-resonators, in which the emergence of EIT and electromagnetically induced absorption (EIA) could be observed. We find by tuning the coupling strength between the resonators, the modulation phase may control the appearance and disappearance of EIT (EIA). Furthermore, we prove the existence of fast and slow light, and propose a scheme for effective switching between them. This work provides a new strategy for obtaining slow light and quantum storage in the WGM micro-resonators.
The throughput of a single fiber-coupled whispering-gallery microresonator, such as a fused-silica microsphere, can exhibit behavior analogous to electromagnetically induced transparency and absorption (EIT, EIA). These effects enable slow and fast light, respectively, in the form of pulse delay or advancement. Two different methods can be used to realize this behavior; in both methods, the key feature is the use of two coresonant orthogonally polarized whisperinggallery modes of very different quality factor (Q). The first method relies on intracavity cross-polarization coupling when only one mode is driven, and the second method uses a simple superposition of orthogonal throughputs (in the absence of intracavity cross-polarization mode coupling) when the two modes are simultaneously driven. We refer to the behavior observed using the first method as coupled-mode induced transparency and absorption (CMIT, CMIA), and the behavior of the second method as coresonant polarization induced transparency and absorption (CPIT, CPIA). In both cases, polarization-sensitive detection of the throughput is used, and the EIT/EIA analog features are observed on the same polarization component as that of the linearly polarized input. Some predictions of a numerical model of these processes are presented here. In addition to a discussion of these predictions, which assume conditions accessible to experiment, some experimental results are briefly described.