Asymmetric response function of the transduction spectrum for a microsphere pendulum

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The optical response of a silica microsphere pendulum evanescently coupled to a tapered optical fiber is studied. The pendulum oscillation modulates the microsphere’s whispering gallery mode (WGM) resonance frequencies (dispersive shift) and the external coupling rate (dissipative effect). These effects combine to give an observable modulation in the transmitted optical power so that the tapered fiber also acts as the mechanical motion transducer. This unique mechanism leads to an asymmetric response function of the transduction spectrum, i.e. the amplitude of the transmitted noise depends on laser detuning. This phenomenon can be explained using coupled mode theory with a Fourier transformation. The transduction of the mechanical motion and its relation to the external coupling gap was experimentally investigated and showed good agreement with the theory.

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