• Photonics Research
  • Vol. 6, Issue 5, A23 (2018)
Weijian Chen1, Jing Zhang1、2, Bo Peng1, Şahin Kaya Özdemir1, Xudong Fan3, and Lan Yang1、*
Author Affiliations
  • 1Department of Electrical and Systems Engineering, Washington University, St. Louis, Missouri 63130, USA
  • 2Department of Automation, Tsinghua University, Beijing 100084, China
  • 3Department of Biomedical Engineering, University of Michigan, Ann Arbor, Michigan 48109, USA
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    DOI: 10.1364/PRJ.6.000A23 Cite this Article Set citation alerts
    Weijian Chen, Jing Zhang, Bo Peng, Şahin Kaya Özdemir, Xudong Fan, Lan Yang. Parity-time-symmetric whispering-gallery mode nanoparticle sensor [Invited][J]. Photonics Research, 2018, 6(5): A23 Copy Citation Text show less

    Abstract

    We present a study of single nanoparticle detection using parity-time (PT) symmetric whispering-gallery mode (WGM) resonators. Our theoretical model and numerical simulations show that, with balanced gain and loss, the PT-symmetric WGM nanoparticle sensor, tailored to operate at PT phase transition points (also called exceptional points), exhibits significant enhancement in frequency splitting when compared with a single WGM nanoparticle sensor subject to the same perturbation. The presence of gain in the PT-symmetric system leads to narrower linewidth, which helps to resolve smaller changes in frequency splitting and improve the detection limit of nanoparticle sensing. Furthermore, we also provide a general method for detecting multiple nanoparticles entering the mode volume of a PT-symmetric WGM sensor one by one. Our study shows the feasibility of PT-symmetric WGM resonators for ultrasensitive single nanoparticle and biomolecule sensing.
    ω1,2=ω0i(γa+γb)/4+κ2(γaγb)2/16,(1)

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    ω3,4=ω0i(γa+γb)/4κ2(γaγb)2/16,(2)

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    ω1,2=ω0+κ2κPT2,(3)

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    ω3,4=ω0κ2κPT2,with  κPT=|γ|/2.(4)

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    ω1=ω0+ϵ+κ2γ2/4iγϵ+ϵ2,(5)

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    ω2=ω0+κ2γ2/4,(6)

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    ω3=ω0+ϵκ2γ2/4iγϵ+ϵ2,(7)

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    ω4=ω0κ2γ2/4.(8)

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    η|Re(ΔωPT)Re(Δωsingle)|.(9)

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    η=|γ/(8ϵ)|,(10)

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    H1=(ϵ1+ϵ2ϵ1+ϵ2ei2mβ200ϵ1+ϵ2ei2mβ2ϵ1+ϵ20000000000),(11)

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    H1=i=1NϵiIi,with  Ii=(1ei2mβi00ei2mβi10000000000),(12)

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    Weijian Chen, Jing Zhang, Bo Peng, Şahin Kaya Özdemir, Xudong Fan, Lan Yang. Parity-time-symmetric whispering-gallery mode nanoparticle sensor [Invited][J]. Photonics Research, 2018, 6(5): A23
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