• Photonics Research
  • Vol. 7, Issue 1, 50 (2019)
Xiaoqin Wu1、2, Yipei Wang3, Qiushu Chen1, Yu-Cheng Chen1, Xuzhou Li1, Limin Tong2, and Xudong Fan1、*
Author Affiliations
  • 1Department of Biomedical Engineering, University of Michigan, Ann Arbor, Michigan 48109, USA
  • 2State Key Laboratory of Modern Optical Instrumentation, College of Optical Science and Engineering, Zhejiang University, Hangzhou 310027, China
  • 3Department of Electrical & Computer Engineering, University of Michigan, Ann Arbor, Michigan 48109, USA
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    DOI: 10.1364/PRJ.7.000050 Cite this Article Set citation alerts
    Xiaoqin Wu, Yipei Wang, Qiushu Chen, Yu-Cheng Chen, Xuzhou Li, Limin Tong, Xudong Fan. High-Q, low-mode-volume microsphere-integrated Fabry–Perot cavity for optofluidic lasing applications[J]. Photonics Research, 2019, 7(1): 50 Copy Citation Text show less

    Abstract

    We develop a hybrid optofluidic microcavity by placing a microsphere with a diameter ranging from 1 to 4 μm in liquid-filled plano-plano Fabry–Perot (FP) cavities, which can provide an extremely low effective mode volume down to 0.35.1 μm3 while maintaining a high Q-factor up to 1×1045×104 and a finesse of 2000. Compared to the pure plano-plano FP cavities that are known to suffer from the lack of mode confinement, diffraction, and geometrical walk-off losses as well as being highly susceptible to mirror misalignment, our microsphere-integrated FP (MIFP) cavities show strong optical confinement in the lateral direction with a tight mode radius of only 0.4–0.9 μm and high tolerance to mirror misalignment as large as 2°. With the microsphere serving as a waveguide, the MIFP is advantageous over a fiber-sandwiched FP cavity due to the open-cavity design for analytes/liquids to interact strongly with the resonant mode, the ease of assembly, and the possibility to replace the microsphere. In this work, the main characteristics of the MIFP, including Q-factor, finesse, effective mode radius and volume, and their dependence on the surrounding medium’s refractive index, mirror spacing, microsphere position inside the FP cavity, and mirror misalignment, are systematically investigated using a finite-element method. Then, by inserting dye-doped polystyrene microspheres of various sizes into the FP cavity filled with water, we experimentally realize single-mode MIFP optofluidic lasers that have a lasing threshold as low as a few microjoules per square millimeter and a lasing spot radius of only 0.5 μm. Our results suggest that the MIFP cavities provide a promising technology platform for novel photonic devices and biological/chemical detection with ultra-small detection volumes.
    Veff=Vϵ(r)|E(r)|2d3rmax[ϵ(r)|E(r)|2],(1)

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    rm=Rϵ(r)|E(r)|2drmax[ϵ(r)|E(r)|2],(2)

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    F=Qmλ/2neffL=Qm/m.(3)

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    Qi=4πnaL/[λIn(R1R2)],(4)

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    Pth=8πhc2nsp2ΔtλL4λpE(λL)×A(1+C)1BC,(5)

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    A=σa(λL)/σa(λp),(6)

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    B=σa(λL)/σe(λL),(7)

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    C=Qabs/Q0=2πnspλLNσa(λL)·1Q0,(8)

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    Xiaoqin Wu, Yipei Wang, Qiushu Chen, Yu-Cheng Chen, Xuzhou Li, Limin Tong, Xudong Fan. High-Q, low-mode-volume microsphere-integrated Fabry–Perot cavity for optofluidic lasing applications[J]. Photonics Research, 2019, 7(1): 50
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