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Traveling-wave optomechanical interactions, known as Brillouin interactions,have now been established as a powerful and versatile resource for photonicsources, sensors, and radio-frequency processors. However, establishedBrillouin-based interactions with sufficient interaction strengths involveshort phonon lifetimes, which critically limit their performance forapplications including radio-frequency filtering and optomechanical storagedevices. Here, we investigate a new paradigm of optomechanical interactionswith fundamental acoustic modes, where interaction strength is decoupled fromphonon lifetimes, enabling the uniquely desirable combination of highoptomechanical coupling, long phonon lifetimes, tunable phonon frequencies, andsingle-sideband amplification. Using sensitive four-wave mixing spectroscopycontrolling for noise and spatial mode coupling, optomechanical interactionswith long > 2 $\mu s$ phonon lifetimes and strong > 400 $W^{-1} m^{-1}$coupling are observed in a tapered fiber. In addition, we demonstrate novelphonon self-interference effects resulting from the unique combination of anaxially varying device geometry with long phonon lifetimes. A generalizedtheoretical model, in excellent agreement with experiments, is developed withbroad applicability to inhomogeneous optomechanical systems.

Strong Optomechanical Interactions with Long-lived Fundamental Acoustic Waves