• Photonics Research
  • Vol. 11, Issue 8, A19 (2023)
Mohammed Zia Jalaludeen1, Shilong Li1、*, Ke Tian1、2, Toshio Sasaki3, and Síle Nic Chormaic1
Author Affiliations
  • 1Light-Matter Interactions for Quantum Technologies Unit, Okinawa Institute of Science and Technology Graduate University, Onna, Okinawa 904-0495, Japan
  • 2College of Physics and Optoelectronic Engineering, Harbin Engineering University, Harbin 150001, China
  • 3Scientific Imaging Section, Okinawa Institute of Science and Technology Graduate University, Onna, Okinawa 904-0495, Japan
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    DOI: 10.1364/PRJ.495072 Cite this Article Set citation alerts
    Mohammed Zia Jalaludeen, Shilong Li, Ke Tian, Toshio Sasaki, Síle Nic Chormaic. Structural characterization of thin-walled microbubble cavities[J]. Photonics Research, 2023, 11(8): A19 Copy Citation Text show less

    Abstract

    Whispering gallery mode (WGM) microbubble cavities are a versatile optofluidic sensing platform owing to their hollow core geometry. To increase the light–matter interaction and, thereby, achieve higher sensitivity, thin-walled microbubbles are desirable. However, a lack of knowledge about the precise geometry of hollow microbubbles prevents us from having an accurate theoretical model to describe the WGMs and their response to external stimuli. In this work, we provide a complete characterization of the wall structure of a microbubble and propose a theoretical model for the WGMs in this thin-walled microcavity based on the optical waveguide approach. Structural characterization of the wavelength-scale wall is enabled by focused ion beam milling and scanning electron microscopy imaging. The proposed theoretical model is verified by finite element method simulations. Our approach can readily be extended to other low-dimensional micro-/nanophotonic structures.
    2Ez(r)+k2εr(r)Ez(r)=0.

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    Ez(ρ,φ,z)=P(ρ)Φ(φ)Ψ(z),

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    [ρ2d2dρ2+ρddρ+εr,z(ρ)ρ2]P(ρ)=εeff,zP(ρ),

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    d2dφ2Φ(φ)=kcirc,z2εeff,zΦ(φ),

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    (1εeff,zd2dz2+kcirc,z2)Ψ(z)=k2Ψ(z),

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    tan(κt)=κγair+κγcoreκ2γairγcore,

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    εeff,zπd=mλcirc,z,

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    Veff(z)=cekcirc,z,

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    1εeff,iΨi+12Ψi+Ψi1Δz2+kcirc,i2Ψi=k2Ψi

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    Mohammed Zia Jalaludeen, Shilong Li, Ke Tian, Toshio Sasaki, Síle Nic Chormaic. Structural characterization of thin-walled microbubble cavities[J]. Photonics Research, 2023, 11(8): A19
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