Abstract

We explore waveguiding in a one-dimensional array of coupled optomechanical cavities, each supporting a pair of optical and mechanical modes. The dispersion relation of such waveguides is derived for different scenarios as a function of the level of optical, mechanical, and optomechanical coupling rates. The mechanical coupling with light is found to have a profound effect on the dispersion properties, leading to intriguing optical phenomena. In addition, the emergence of an exceptional point in the dispersion diagram is shown to induce a singularity associated with reduced attenuation. The drive power and frequency can largely control the band diagram of such periodic structures, offering a great tool for engineering and reconfiguring the coupled cavity optomechanical meta-waveguide. The peculiar band structure of the system is probed, investigating the linear propagation of short pulses and revealing interesting dynamics such as deceleration and acceleration, secondary pulse emission, and mechanically mediated enhanced light transmission. These concepts pave the way towards a new generation of meta-waveguides and multi-dimensional metamaterials in which strong optomechanical interactions overcome some of the limitations of passive, linear optical metamaterials based exclusively on optical resonances.

© 2017 Optical Society of America

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