Statistics of multiple-scatterer induced frequency splitting in whispering gallery microresonators and microlasers

Abstract

We investigate numerically and experimentally the statistics of the changes in the amount of frequency splitting upon the adsorption of particles one-by-one into the mode volume of whispering gallery mode (WGM) microresonator and microlasers. This multiple-particle induced frequency splitting (MPIFS) statistics carries information on the size and the number of adsorbed particles into the mode volume, and it is strongly affected by two experimental parameters, namely the WGM field distribution and the positions of the particles within the mode volume. We show that the standard deviation and maximum value of the MPIFS are proportional to the polarizability of the particles, and propose a method to estimate particle size from the MPIFS if the only available data from experiments is frequency splitting.

16 pages, 13 figures, 42 references

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• Raman-gain induced loss-compensation in whispering-gallery-microresonators and single-nanoparticle detection with whispering-gallery Raman-microlasers
• Mode coupling and photon antibunching in a bimodal cavity containing a dipole-quantum-emitter
• Diabolical Points in Coupled Active Cavities with Quantum Emitters
• Mass sensing by detecting the quadrature of a coupled light field
• Real-time imaging of standing-wave patterns in microresonators
• Enhanced emission from a single quantum dot in a microdisk at a deterministic diabolical point
• Interfacing whispering-gallery microresonators and free space light with cavity enhanced Rayleigh scattering
• The missing link between standing- and traveling-wave resonators