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Induced transparency and attenuation are observed in fiber-coupled microresonators due to coupling between coresonant whispering-gallery modes of orthogonal polarizations. Theoretical analysis has shown that this cross-polarization coupling is asymmetric (or nonreciprocal); the coupling from TE to TM generally has a different strength than TM to TE coupling, and the strengths depend on the mode numbers. In an experiment where one polarization is input and the outputs of both polarizations are simultaneously detected by matched detectors, the two coupling strengths are determined by fitting the experimental output spectra to a model. Comparison to theory may then lead to identification of the two modes involved, even when the microresonator dimensions are large compared to the wavelength. Some theoretical results that give similar coupling strengths to those observed in the experiment are presented to give an estimate of typical mode numbers involved.
Karleyda Sandoval andA. T. Rosenberger
"Characterization of asymmetric cross-polarization coupling between microresonator whispering-gallery modes", Proc. SPIE 11700, Optical and Quantum Sensing and Precision Metrology, 117002R (5 March 2021); https://doi.org/10.1117/12.2586663
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Karleyda Sandoval, A. T. Rosenberger, "Characterization of asymmetric cross-polarization coupling between microresonator whispering-gallery modes," Proc. SPIE 11700, Optical and Quantum Sensing and Precision Metrology, 117002R (5 March 2021); https://doi.org/10.1117/12.2586663