Abstract
Vibrational spectroscopy is a ubiquitous technology that derives the species, constituents and morphology of an object from its natural vibrations. However, natural vibrations of mesoscopic particles—including most biological cells—have remained hidden from existing technologies. These particles are expected to vibrate faintly at megahertz to gigahertz rates, requiring a sensitivity and resolution that are impractical for current optical and piezoelectric spectroscopies. Here we demonstrate the real-time measurement of natural vibrations of single mesoscopic particles using an optical microresonator, extending the reach of vibrational spectroscopy to a different spectral window. Conceptually, a spectrum of vibrational modes of the particles is stimulated photoacoustically by the absorption of laser pulses and acoustically coupled to a high-quality-factor optical resonance for ultrasensitive readout. Experimentally, this scheme is verified by measuring mesoscopic particles with different constituents, sizes and internal structures, showing an unprecedented signal-to-noise ratio of 50 dB and detection bandwidth of over 1 GHz. This technology is further applied for the biomechanical fingerprinting of the species and living states of microorganisms at the single-cell level. This work opens up new avenues to study single-particle mechanical properties in vibrational degrees of freedom and may find applications in photoacoustic sensing and imaging, cavity optomechanics and biomechanics.
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Data availability
The data that supports the plots within this paper are available on Figshare (https://doi.org/10.6084/m9.figshare.22718299). All other data used in this study are available from the corresponding authors upon reasonable request.
Code availability
The codes are available from the corresponding author upon reasonable request.
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Acknowledgements
We thank X.-C. Yu, G. Li, C. Li and J. Huang for helpful discussions. S.-J.T., J.S. and Y.F.X. thank J. Zhao and Y. Ji at Peking University for their help in bacteria experiments. This project is supported by the National Natural Science Foundation of China (grants nos. 11825402, 12293051, 62105006, 12041602, 62175002, 92150108 and 92150301), and Beijing Natural Science Foundation (no. Z210004). S.-J.T. was also supported by the China Postdoctoral Science Foundation (grant nos. 2021T140023 and 2020M680187). Parts of the characterization and simulation are supported by the Peking Nanofab, Core Facilities of Life Sciences and High-Performance Computing Platform of Peking University.
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S.-J.T. designed and performed the experiments with the help of J.S. and J.-W.M. M.Z. provided theoretical analyses under the guidance of S.-J.T. J.S. developed methods to transfer single particles and microorganisms. S.-J.T., Q.-F.Y., M.Z., X.X. and Y.-F.X. wrote the manuscript with contributions from all authors. Y.-F.X. conceived the idea and supervised the project.
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Extended data
Extended Data Fig. 1 Photoacoustic excitation of particle’s vibrations.
a, Light absorption of a short laser pulse excites mechanical resonances of the particle. Top panel: the laser pulse; Bottom panel: the particle’s surface displacement (Curve: theoretical model; Circles: three-dimensional finite-element method). b, Simulated temperature map when the particle is irradiated by a short laser pulse. c, Excited oscillation shapes of breathing, even and odd vibrational modes when the laser pulse is irradiated from the top as shown in b. d, Vibrational spectrum of the spherical particle at the contact site (blue dot in b) is obtained from the theoretical displacement evolution. The frequency is normalized to the natural frequency of the (1,0) mode. The parameters of the spherical particle used in both theoretical and simulation model: 500 nm in radius, E = 500 MPa, ρ = 1.0 g cm−3, Poisson’s ratio σ = 0.35, refractive index n = 1.75 + 0.005i, heat capacity Cp = 1300 J/(kg ⋅ K), and thermal expansion coefficient αth = 2.4 × 10−4. The heat conductivity coefficient κh = 0.08 W/(m ⋅ K) is used in the simulation.
Extended Data Fig. 2 Identifications of vibrational modes.
a-b, Vibrational spectra obtained when a 1.1-μm-radius polystyrene sphere is deposited on the microresonator’s surface and irradiated by laser pulses with the pulse duration of 200 ps (a), and 1.8 ns (b), respectively. Vibrational modes of the particle are indicated with the red shadows. c, Vibrational spectra obtained with the intracavity radiation pressure to identify the vibrational modes of the silica microsphere (dashed lines labelled).
Extended Data Fig. 3 Temporal and spectral characterization of natural vibrations of single microbial cells.
Laser transmission (a) and corresponding vibrational spectra (b) of a single Aspergillus niger spore (i), Aspergillus Sydowii (ii) and cyanobacterium (iii). The navy and red curves are experimental data and fittings, respectively. Vibrations of the microresonator are also indicated. The mode indices of these vibrational modes are identified by matching the spectral features to numerical calculations. The (1,0) breathing mode could not be supported in microbial cells because of the incompressible property of their cytoplasm (Supplementary Note II for details). The quality factors of the vibrational modes of microbial cells are within 5 ~ 30. In these measurements, the microbial cells are placed on the microspherical optical cavity about 10 ~ 20 μm away from its equator. Insets: SEM and TEM images of microbial cells. Scale bars: 1 μm.
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Supplementary sections 1 and 2 and Figs. 1–7.
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Tang, SJ., Zhang, M., Sun, J. et al. Single-particle photoacoustic vibrational spectroscopy using optical microresonators. Nat. Photon. 17, 951–956 (2023). https://doi.org/10.1038/s41566-023-01264-3
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DOI: https://doi.org/10.1038/s41566-023-01264-3