Abstract

Phase shift cavity ring down spectroscopy (PS-CRDS) in conjunction with microcavities provides a highly sensitive approach for sensing applications. However, there have been no complete and accurate analytical expressions demonstrated so far for PS-CRDS based upon measurement of the transmitted waveguide signal only in a microcavity–waveguide system. For determining the ring down time of a microcavity, currently researchers employ PS-CRDS measurements either at multiple modulation frequencies or in the Rayleigh backscattered regime in conjunction with PS-CRDS measurements in the transmission mode of a microcavity–waveguide system. Here, we develop analytical expressions for PS-CRDS in waveguide-coupled microcavities by utilizing the coupled mode theory. Our mathematical treatment allows us to determine the ring down time of a microcavity by measuring a signal in the transmission mode (waveguide signal) only. The derived equations are also validated numerically and experimentally. The present work will find wide applications in sensors and modulators based upon microcavities.

© 2015 Optical Society of America

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