Original Article | Open

Optically sizing single atmospheric particulates with a 10-nm resolution using a strong evanescent field

  • Light: Science & Applications volume 7, page 18003 (2018)
  • doi:10.1038/lsa.2018.3
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Although an accurate evaluation of the distribution of ultrafine particulate matter in air is of utmost significance to public health, the usually used PM2.5 index fails to provide size distribution information. Here we demonstrate a low-profile and cavity-free size spectrometer for probing fine and ultrafine particulate matter by using the enhanced particle-perturbed scattering in strong optical evanescent fields of a nanofiber array. The unprecedented size resolution reaches 10 nm for detecting single 100-nm-diameter nanoparticles by employing uniform nanofibers and controlling the polarizations of the probe light. This size spectrometry was tested and used to retrieve the size distribution of particulate matter in the air of Beijing, yielding mass concentrations of nanoparticles, as a secondary exercise, consistent with the officially released data. This nanofiber-array probe shows potential for the full monitoring of air pollution and for studying early-stage haze evolution and can be further extended to explore nanoparticle interactions.


The global environment is suffering from air pollution due to excess particulate matter, resulting in huge societal and economic costs1, 2, 3, 4, 5. Air quality is usually characterized by the mass concentration of fine particulate matter with aerodynamic diameters <2.5 μm (PM2.5), which is mainly contributed by micron-sized particles, whereas the hazard induced by ultrafine particulates (with diameters smaller than hundreds of nanometers) remains seriously underestimated. For instance, ultrafine particles are believed to have even more aggressive health implications than larger particulates because they can penetrate the lungs, causing lung cancer, and can also penetrate the air–blood barrier6, entering the circulation system and resulting in respiratory illness and even organ dysfunction7, 8, 9, 10, 11, 12, 13. Therefore, more attention should be paid to the ultrafine particles, and their size distribution, in addition to their mass distribution, is becoming increasingly important for the evaluation of air hazards.

Various techniques have been developed for measuring the size distribution of particulate matter. Compared with the conventional aerosol techniques such as the use of a scanning mobility particle sizer, an electrical low pressure impactor and a tapered element oscillation microbalance14, 15, optical methods show great potential due to their non-destructive nature, electromagnetic noise immunity and real-time in situ detection capability16, 17, 18, 19. The typical optical methods mainly utilize absorption or scattering methods. However, the absorption methods are only applicable for lossy targets20, 21, 22, while the scattering methods, including dynamic light scattering and static light scattering23, 24, either require ensemble analytes with high enough concentrations25, 26, 27, 28 or suffer from low accuracy in particle size estimation29, 30, 31. In addition, the conventional scattering methods using free space laser light must be operated in a closed cavity to avoid disturbance from environmental light, thus making the system rather complicated. Interferometric scattering microscopy and photothermal microscopy have both achieved single nanoparticle detection32, 33, 34 but require a highly stable light source and extra imaging systems, thus also making the detection system quite complicated. The recently developed optical microcavity sensing systems19, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44 using scattering methods have removed the requirement for a closed cavity and achieved an unprecedented low detection limit. However, microcavity-based sizing typically requires a tunable laser source and the strict control of near-field coupling. In this work, we propose and demonstrate a low-profile, high-accuracy, cavity-free and real-time size probing system working in an open environment using a nanowaveguide array structure with a strong evanescent field (Figure 1a and 1b). The spectrometry capability of the new system is first characterized by measuring the size distribution of single standard polystyrene (PS) nanoparticles, and a sizing resolution of 10 nm is achieved for 100-nm-diameter nanoparticles by controlling the polarizations of the probe light. Then the size spectrometer is applied to monitor the fine and ultrafine particulate matter in Beijing from 11 December 2015 to 12 January 2016 and from 25–26 December 2016 when the first red alert on air pollution was issued in Beijing. In addition, the mass concentrations are obtained from the size information on the size distributions, for which the evolution trend agrees with the official data presented by the Beijing Municipal Environmental Monitoring Center (see Supplementary Information).

Figure 1
Figure 1

Size probing system. (a) Schematic set-up of nanowaveguide-based size spectrometry. The analyte nanoparticles are blown onto the nanowaveguides via a glass nozzle. DAQ, data acquisition system; PLC, polarization controller. (b) Optical image of the nanowaveguides, consisting of five in-serial identical nanofibers with a distance of 250 μm between each adjacent two. (c) Comparison of the diameter distribution of a nanowaveguide from the theoretical prediction (blue curve) and scanning electron microscopic (SEM) measurements (red stars). Inset shows SEM images of three segments, with diameters of 392, 363 and 349 nm from left to right. The shadow marks the waveguide range with the length of 3 mm, for which the diameter variation is approximately 10%. Note that the scale of the horizontal axis in the range of −1.5 to 1.5 mm is different from the other range.

Materials and methods

Fabrication of the nanowaveguide structure and the nozzle

To increase the sensing area, we fabricated a nanowaveguide structure consisting of five nanofibers instead of one (see Figure 1a) with a long joint fiber loop to minimize the polarization change. A single fiber arranged into a serpentine pattern with five turns is pulled at the same time using a home-built heat-and-pull system containing a ceramic microheater (NTT-AT, CMH-7022, Kawasaki, Japan) and a step motor (Shanghai-Lianyi, Model XXM80H-50, Shanghai, China). The temperature of the heater is set to be >1200 °C over the length of 9 mm to obtain a nanofiber of uniform diameter along the length of several millimeters. By controlling the fabrication parameters, such as the heating temperature, the pulling rate and the pulling time period, the nanofibers can be repeatedly fabricated with reproducible diameters. A glass nozzle is fabricated by heating and pulling a glass capillary to a final inner diameter of 50 μm using the same microheater and the step motor.

Particle preparation

The standard PS nanoparticles (Thermo Fisher Scientific) used as the benchmark analytes are first diluted to tens of picomoles and then atomized using an ultrasonic atomizer to prevent particle aggregations. As the ultrafine particulate matter in the air samples is examined, a filter membrane is used in front of the syringe to eliminate the influence of the particles with diameters >1.0 μm. The Rayleigh–Gans theory can thus be applied to calculate the particle size (see Section I of Supplementary Information).

Measurement system

A syringe pump (Harvard, Model PHD22/2000) is used to inject the nanoparticles into a gas pipe and then to the nanowaveguides via the glass nozzle. The probe light source is a 680-nm diode laser (New Focus, Model TLB6309), and a photodetector (Newport, Model 918D) is used to monitor the transmitted power in real time. A polarization controlling system consisting of a quarter wave plate, a polarizer and a polarization controller was built to generate a circular polarized probe light.

Data acquisition and analysis

The transmission power collected by the photodetector is analyzed by a data acquisition system (National Instruments, Model USB-6251 BNC) with an acquisition rate of 100 kS s−1. A 2000-point average is first applied to suppress the relative noise level (i.e., the ratio of the noise of the power to the absolute power) from 10−3 to 10−4. A step-finding algorithm is applied to determine the step drops in the transmission power following Yu et al45, corresponding to the single nanoparticle-binding events on the nanowaveguide.

Results and discussion

The nanowaveguide structure consists of serpentine patterned nanofibers (with a 250-μm separation between each two adjacent nanofibers), fabricated using a home-built heat-and-pull system including a ceramic heater and a step motor (see Supplementary Information and Refs. 46, 47). The optical image is shown in Figure 1b. As the heating temperature is highly uniform in a large area, the five nanowaveguides are almost identical and the diameter of each one is uniform within the range of a few millimeters, thus significantly decreasing the uncertainty of the nanoparticle sizing measurements. Experimentally, the diameter of the waveguides is determined by controlling the elongation length and the heating temperature. The profile of the resulting nanowaveguides can be predicted using the thin filament equation (the blue solid curve in Figure 1c), which is confirmed by the results from the scanning electron microscopic measurements (the red stars in Figure 1c). These result shows that the size variation of a nanowaveguide (with a waist diameter of 350 nm) is 10% within the 3-mm length, confirming the reasonable uniformity of the sensing area.

The analyte nanoparticles are blown onto the nanowaveguide structure using a glass nozzle (shown in Figure 1a) via a syringe pump (see Supplementary Information). The flow rate is set at 20 mL min−1, so that individual nanoparticles bind on the waveguide separately, and the multi-particle-binding event probability is <2% (see Supplementary Information). A 680-nm wavelength diode laser is used as the probe light source, and the transmitted power is monitored by a photodetector in real time. The transmission change transduces the particle-induced scattering, providing the information on the nanoparticle size.

Considering the inhomogeneous evanescent field across the nanoparticle, the Rayleigh–Gans scattering theory (see Supplementary Information) is employed to determine the scattering efficiency Psca, defined as the scattering power divided by the pump power45, 48, 49. The interaction between the nanoparticle and the guided light is in the perturbation regime, and strong coupling is absent50. In addition to the transverse fields, the longitudinal field is also considered in the calculation51. The scattering efficiency depends on the properties of the nanowaveguide (evanescent field distribution), the analyte nanoparticle (size and refractive index) and the surrounding medium (refractive index). Note that the fundamental HE11 modes of a cylindrical dielectric waveguide are degenerate with different polarizations52. The field distribution becomes homogeneous in the angular direction only when the probe light is circularly polarized, and the scattering efficiency induced by a nanoparticle in the vicinity of the nanowaveguide does not depend on the binding position, as verified by the finite-element-method simulation results (see the inset of Figure 2a). Using circularly polarized probe light, the solid curve of Figure 2a presents the analytical result for the scattering efficiency Psca induced by a single nanoparticle on a 350-nm-diameter waveguide as a function of the nanoparticle diameter. The analytical calculations of scattering efficiencies obtained using the Rayleigh–Gans theory are confirmed by the three-dimensional finite-element-method simulation results (symbols, Figure 2a)52.

Figure 2
Figure 2

Simulation results based on Rayleigh–Gans theory. (a) Scattering efficiency as a function of the particle diameter calculated by Rayleigh–Gans theory (solid curves) and three-dimensional finite-element-method (FEM) simulation (symbols). The diameter of the nanowaveguide is 350 nm. The operation wavelength is 680 nm. The refractive indices of the nanowaveguide and the nanoparticle are 1.46 and 1.5, respectively. The inset shows the FEM simulated results for the electric field distribution around (up right) and along (bottom right) the waveguide for circularly polarized light when a 200-nm-diameter PS nanosphere binds to a 350-nm-diameter nanowaveguide. (b) Scattering efficiency of a spherical nanoparticle as a function of the waveguide diameter and particle size.

Using the Rayleigh–Gans scattering method, we further study the scattering efficiency Psca as a function of both the nanosphere and nanowaveguide diameters (shown in Figure 2b). As expected, the scattering efficiency Psca shows a monotonic dependence on the nanoparticle size for a given nanowaveguide diameter and reaches a maximum at the diameter of 250 nm due to the trade-off between the intensity and confinement of the optical evanescent field53. In the experiment, we use the waveguide with a diameter slightly >250 nm, such as 350 nm in our case, for the following reasons. First, the waveguide with a larger diameter is more robust and shows higher transmission54, 55. Second, a slightly lower scattering efficiency, in fact, allows us to observe more particle-binding events before the waveguide transmission drops to the noise level. In addition, only the fundamental mode is supported in the 350-nm-diameter waveguide, and multiple guiding modes will invalidate the spectrometry performance due to the mode interference. Therefore, we conduct the sensing experiment using nanowaveguides with diameters of 350 nm. The scattering efficiency is obtained from the step change in the transmission, and then the size of a single nanoparticle is directly derived from the scattering efficiency using the provided information regarding the nanowaveguide size and index of the nanoparticle.

A typical transmitted power of the nanowaveguide in real time is shown in Figure 3a for the single PS nanospheres generated using an ultrasonic atomizer binding onto the nanowaveguides (see Supplementary Information). The particle-binding events are clearly recognized by the stepwise drop in the transmitted power. The statistical distribution of the scattering efficiencies for single nanoparticles with a diameter of 89.4±5.3 nm is shown in Figure 3b. It can be seen that the full width at half maximum of the distributions is 0.019% for the circularly polarized light, whereas the full width at half maximum is 0.033% for the linearly polarized probe light (see Supplementary Information). The reduced full width at half maximum ensures a lower uncertainty for the size measurement of single nanoparticles. In the following sizing experiments, the circularly polarized light is thus used as a probe. The nanoparticle size distribution is derived from the scattering efficiency distribution, given that the refractive index of the PS nanoparticle is 1.59.

Figure 3
Figure 3

Detection and sizing of standard PS nanoparticles. (a) Normalized transmission power when single nanoparticles with a diameter of 130 nm attached to the waveguide (d~350 nm). The red dashed curve is plotted to guide the eye. (b) Statistical analysis for scattering efficiencies induced by PS nanoparticles with a single diameter of 90 nm using the same nanowaveguide when the probe light is circularly (top panel) and linearly (bottom panel) polarized. Red curves show the Gaussian fitting. (c) Statistical analysis for nanoparticle sizes with diameters of 100, 130 and 200 nm using circularly polarized probe light.

To further evaluate the sizing capability of the nanowaveguide probe, standard PS nanospheres with diameters of 100, 130, and 200 nm are tested. The histograms of the particle diameters obtained using Gaussian fitting show that the measured nanoparticle sizes fall into the ranges of 100±10 nm, 130±12 nm and 200±15 nm for the diameters, indicating the high resolution of the nanowaveguide-based size spectrometry (see Figure 3c). The experimental resolution is limited by the particle size distribution and the particle–particle interaction mediated by the guided mode (see Supplementary Information).

We then tested our system using local air samples collected in real time from the urban atmosphere in the winter, when the haze problem is most severe. The effective sizes of particulate matter are derived from the scattering efficiency using the Rayleigh–Gans theory (see Supplementary Information), assuming that the refractive index is 1.5 (the particulates in air are mainly nitrates and sulfides, with refractive indices ranging from 1.45 to 1.55). The change in the refractive index will induce a size uncertainty of <10% (see Supplementary Information). For instance, the nanoparticle size is derived to be 235.7±14.5 nm for a measured scattering efficiency of 1%. The derived size distribution of the nanoparticles is plotted in Figure 4a for six typical samples collected from 10 am on 11 December 2015 to 5 am the next day.

Figure 4
Figure 4

Urban air monitoring from 11 to 12 December 2015. (a) Size histogram of nanoparticles in six air samples collected from different moments. (b) Evolution of the mass concentration of the nanoparticles of different diameters with a 20-nm step. (c) Evolution of the measured PM1.0 and PM0.3 indices (blue spheres and green triangles, respectively, left axis) compared with the official PM2.5 index from Beijing Municipal Environmental Monitoring Center (solid curve, right axis). Error bars indicate the standard deviation.

Using the size distributions, we also obtain the mass concentration distributions of the nanoparticles with a diameter step of 20 nm, as plotted in Figure 4b. The PM1.0 (PM0.3) index, defined as the mass concentration of particulate matter with effective diameters <1.0 μm (0.3 μm), is further obtained and reported in Figure 4c. The trend in evolution of the experimental PM1.0 agrees with the official PM2.5 data from Beijing Municipal Environmental Monitoring Center. The ultrafine particulate matter <300 nm only contributes approximately half of the PM1.0 index most of the time, but its counts are dominant, as observed from the size distribution presented in Figure 4a. The size distribution provides information that cannot be obtained from the typical PM2.5 (PM1.0) index. We note that the measured PM1.0 has a different amplitude from the official PM2.5 data because the experimental PM1.0 index is obtained by analyzing the particle-binding events onto the nanowaveguides, and not all particulate matter in the air samples is detected. Future experiments could estimate the probability of the nanoparticles being captured by nanowaveguides, and the absolute value of the PMx index, with x=1.0, 0.3 and 0.1, for example, can be provided definitely.

The particulate matter in the Beijing atmosphere from 11 December 2015 to 12 January 2016 is monitored, with the size distribution and the mass concentration plotted in Figure 5a and 5b, respectively. On clear days, for example, from 15 to 17 December 2015, the counts of the nanoparticles are quite low (Figure 5a), and the mass concentration remains <50 μg m−3 (Figure 5b). On the days with severe haze, such as 3 and 4 January 2016, the counts of ultrafine particles are much higher. The trend in the evolution of the experimental PM1.0 results is consistent with that of the official PM2.5 data shown in Figure 5b. For instance, there are five peaks in the PM2.5 data that are also observed in the experimental PM1.0 data. We note that large deviations appear on the haze days because larger particulates contribute to the mass concentration of the PM2.5 index, for example, on 26 December. The PM index shows better agreement on clear days, for example, from 15 to 20 December, because smaller particulates are the main contributors to both the PM1.0 and PM2.5 indices. The particulate matter was also monitored from 25 to 26 December 2016, when the Beijing municipal government issued the first red alert for air pollution in 2016, and the experimental results are also confirmed by the official data (see Supplementary Information).

Figure 5
Figure 5

One-month data for PM1.0 measured by the size spectrometer. The size distribution (a) and the mass concentration (b) of the particulate matter from 11 December 11 2015 to 12 January 2016. The symbols and the solid curve indicate the experimental PM1.0 data and the official PM2.5 data reported by Beijing Municipal Environmental Monitoring Center. The error bars indicate the standard deviation.


To summarize, we have developed a portable, real-time and ultrasensitive nanoparticle size spectrometer with a size uncertainty as low as 10 nm. This cost-effective and reliable probe system was adopted to monitor the ultrafine particulate matter in urban atmospheres, and both the size and mass concentration distributions were obtained, providing important information for environmental monitoring and pollution control. In future experiments, several improvements could be developed. First, a well-designed nozzle will increase the capture rate and decrease the detection time. Second, the sensitivity of a nanowaveguide sensor can be significantly improved by building a ring-structure microcavity, by utilizing plasmonic field localization to enhance the light–matter interaction19 or by applying heterodyne interferometry to achieve a quantum noise level56. Finally, several light sources can be simultaneously coupled into the nanowaveguide, enabling specific detection of nanoparticles. The nanofiber-array-based probe can further be extended to study nanoparticle interactions and quantum electromagnetic dynamics38, 57, 58, 59, 60, and the scattering effects can also be used in microscopic techniques61, 62, 63, 64, 65.

Author contributions

XC Yu and SJ Tang conducted the experiment. XC Yu performed the simulation. XC Yu, YF Xiao and CW Qiu analyzed the experimental data. YF Xiao conceived the idea and supervised the project. All authors contributed to and wrote the paper.


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The authors thank L Wang for help in scanning electron microscopic imaging. This work is supported by the NSFC (Grant Nos. 61435001, 61611540346, 11474011 and 11654003) and the National Key R&D Program of China (Grant No. 2016YFA0301302). YZ is also supported by the China Postdoctoral Science Foundation (Grant No. 2015M580909).

Author information


  1. State Key Laboratory for Mesoscopic Physics and School of Physics, Peking University, Beijing 100871, China

    • Xiao-Chong Yu
    • , Yanyan Zhi
    • , Shui-Jing Tang
    • , Bei-Bei Li
    • , Qihuang Gong
    •  & Yun-Feng Xiao
  2. Collaborative Innovation Center of Quantum Matter, Beijing 100871, China

    • Yanyan Zhi
    • , Qihuang Gong
    •  & Yun-Feng Xiao
  3. Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China

    • Shui-Jing Tang
    • , Qihuang Gong
    •  & Yun-Feng Xiao
  4. Department of Electrical and Computer Engineering, National University of Singapore, Singapore 117583, Singapore

    • Cheng-Wei Qiu
  5. NUS Suzhou Research Institute (NUSRI), Suzhou 215123, China

    • Cheng-Wei Qiu
  6. SZU-NUS Collaborative Innovation Center for Optoelectronic Science & Technology, Shenzhen University, Shenzhen 518060, China

    • Cheng-Wei Qiu


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Competing interests

The authors declare no conflict of interest.

Corresponding author

Correspondence to Yun-Feng Xiao.

Supplementary information

Note: Supplementary Information for this article can be found on the Light: Science & Applications’ website(http://www.nature.com/lsa).

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