Abstract

We study a three-mode (i.e., a clockwise mode, a counterclockwise mode, and a mechanical mode) coherent coupling regime of the optical whispering-gallery-mode (WGM) microresonator optomechanical system by considering a pair of counterpropagating modes in a general case. The WGM microresonator is coherently driven by a strong control laser field and a relatively weak probe laser field via a tapered fiber. The system parameters utilized to explore this process correspond to experimentally demonstrated values in the WGM microresonator optomechanical systems. By properly adjusting the coupling rate of these two counterpropagating modes in the WGM microresonator, the steady-state displacement behaviors of the mechanical oscillation and the normalized power transmission and reflection spectra of the output fields are analyzed in detail. It is found that the mode coupling plays a crucial role in rich line-shape structures. Some interesting phenomena of the system, including optical multistability and sharp asymmetric Fano-shape optomechanically induced transparency (OMIT), can be generated with a large degree of control and tunability. Our obtained results in this study can be used for designing efficient all-optical switching and high-sensitivity sensor.

Highlights

  • We study a three-mode coherent coupling regime of the optical whispering-gallery-mode (WGM) microresonator optomechanical system by considering a pair of counterpropagating modes in a general case

  • The marked achievements have been made in those optical components, such as ultrahigh-precision measurement[6], gravitation-wave detection[7], quantum information processing (QIP)[8,9,10], higher-order sidebands[11,12,13], optical nonlinearity[14,15,16], mechanical parity-time (PT) symmetry[17,18,19] and PT -broken chaos[20], quantum entanglement[21,22,23,24,25,26], optomechanically induced transparency (OMIT)[27,28,29,30,31,32,33,34,35], and optomechanically induced stochastic resonance (OMISR)[36], and many others[1,2,3,4,5]

  • We clearly show that the mode coupling characterized by J can lead to some interesting phenomena of the on-chip WGM microresonator optomechanical system, such as optical multistability and sharp asymmetrical Fano-shape OMIT resonances

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Summary

Introduction

We study a three-mode (i.e., a clockwise mode, a counterclockwise mode, and a mechanical mode) coherent coupling regime of the optical whispering-gallery-mode (WGM) microresonator optomechanical system by considering a pair of counterpropagating modes in a general case. One of the most interesting phenomena, optical bistability and multistability[37,38,39,40], have attracted a lot of attention due to a variety of fundamental studies and practical applications in optical communication and optical computing, such as all-optical switching[41,42], sensitive force or displacement detections and memory storage[43,44], etc Another one of the curious optical phenomena is based on quantum coherence and interference, i.e., the so-called Fano resonance[45], the pronounced feature of which is a sharp asymmetric line profile. It can be used to design low-power all-optical switches, modulators, and high-sensitivity sensors

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