Abstract
Optical imaging with nanoscale resolution and a large field of view is highly desirable in many research areas. Unfortunately, it is challenging to achieve these two features simultaneously while using a conventional microscope. An objective lens with a low numerical aperture (NA) has a large field of view but poor resolution. In contrast, a high NA objective lens will have a higher resolution but reduced field of view. In an effort to close the gap between these trade-offs, we introduce an acoustofluidic scanning nanoscope (AS-nanoscope) that can simultaneously achieve high resolution with a large field of view. The AS-nanoscope relies on acoustofluidic-assisted scanning of multiple microsized particles. A scanned 2D image is then compiled by processing the microparticle images using an automated big-data image algorithm. The AS-nanoscope has the potential to be integrated into a conventional microscope or could serve as a stand-alone instrument for a wide range of applications where both high resolution and large field of view are required.
Keywords: scanning nanoscope, acoustic streaming, super resolution, image processing, acoustofluidics
Graphical Abstract
The optical microscope, invented centuries ago, is a ubiquitous tool in many industrial and research settings due to its rapid and noninvasive imaging capability1,2 compared to higher-resolution imaging instruments, such as scanning electron microscopes (SEMs),3,4 atomic force microscopes (AFMs),5 and transmission electron microscopes (TEMs).6 A key element in a conventional optical microscope is the objective lens, which plays the most important role in determining the resolving power of the imaging system and is generally expensive because of the complex stacks of lenses needed to correct various image aberrations. Despite its widespread usage in different fields, a conventional optical microscope lacks the ability to simultaneously realize high-resolution imaging while also achieving a large field of view (FOV), features which are both highly desirable in many practical applications such as nanoscale metrology7–10 and bioimaging.11,12 Although the ability to achieve high-resolution imaging over a large FOV can be accomplished on a conventional optical microscope by mechanically scanning the desired area through the focus of a high numerical aperture (NA) objective lens, this process requires complex mechanical manipulators and autofocusing features. Extensive work must be done to guarantee that the sample is always in focus as the stage moves, and a low speed is needed to maintain during the mechanical scan, adding to the complexity and cost of the technology and reducing the speed of analysis.
To address this critical issue, recent research into Fourier ptychography (FP) microscopes which utilize illumination control and computational-based postimaging processing has shown great potential in achieving both higher imaging resolution and a larger FOV while using a conventional optical microscope.13–22 With this platform, arrays of LED light sources are used to replace the light illumination in a conventional optical microscope. LEDs are lit in sequence and a series of images are obtained at each LED illumination. The final, improved image is obtained from postimage processing by using an iterative phase retrieval algorithm.23 As a comparison to traditional optical microscopy, a FP microscope with a 40×, 0.75 NA objective lens can generate an image with equivalent quality to that of an image from a 100×,1.45 NA oil-immersion objective lens.24
The FP is known as an indirect imaging method because the sample’s spatial spectra are recorded on an imaging sensor, and a complex algorithm has to be applied to recover the true image. An alternative way to achieve direct imaging with both high resolution and a large FOV is to replace the high-NA objective with superior imaging items. Microsized dielectric particles have proven to be a promising candidate for replacing the high-NA objectives in modified microscopy systems. In fact, recent research has extensively explored the super-resolution capability of dielectric microparticles.25–33 In these systems, dielectric microparticles are used as a “microlens”, where the curvature of the bead serves to focus the light from the sample and amplify the image when used in combination with an objective lens. For example, a lateral resolution better than 50 nm has been achieved when using microparticles as an imaging lens in combination with an 80×, 0.9 NA objective.34 Additionally, the imaging of plasmid DNA,35,36 proteins,37 and molecular beacons38 with microparticles has been demonstrated. Moreover, single cells have been trapped and scanned with optical tweezers for creating optical nanoscopes.39 A movable droplet as a microlens has also been demonstrated for subwavelength imaging.40 However, most of these imaging examples are still limited to the small area around the focus of an individual microparticle, and a large FOV is hardly achievable when using a single microparticle.
To address these shortcomings, we introduce an acoustofluidic scanning nanoscope (AS-nanoscope), which can achieve subdiffraction-limit resolution and large FOV simultaneously. In the AS-nanoscope (Figure 1a), acoustofluidic technology is used to scan multiple microparticles on a sample surface.41–64 Each microparticle serves as a high-NA objective lens with a limited FOV (Figure 1b). The final large-FOV image of the sample is obtained by numerically combining the super-resolution images from each particle. The AS-nanoscope has the following exceptional features: (1) super resolution and large FOV (equivalent resolution to a 20×, 0.45 NA lens achieved with a 10×, 0.30 NA lens in combination with our acoustofluidic system); (2) autofocusing achieved by maintaining a constant working-distance from the surface topography of the sample (microparticles moving along the sample surface inherently maintain their position at the proper focal length); (3) direct imaging without complex phase retrieval algorithm (images are directly captured from each microparticle, and the assembled image is a numerical stitching of these photos, not an algorithmic generation).
RESULTS AND DISCUSSION
Characterization of Different Microparticles for the AS-Nanoscope.
Super resolution can be achieved by imaging with a microparticle because of the so-called “photonic jet” effect of the microparticle.65–69 This effect can provide a focused beam waist which is smaller than the diffraction limit of light and can also enhance the backscattering of visible light. In order to develop our acoustofluidic scanning nanoscope, we first sought to determine the optical property of microparticles for leveraging the photonic jet effect to improve our resolution. To test the super-resolution imaging capability of different types of microparticles, we used a commercial Blu-ray disc with a 200 nm line width as the imaging target. Figure 2a shows the scanning electron microscopy (SEM) image of the structures on the Blu-ray disc. Figure S1 in the Supporting Information provides a relative size comparison of different imaging magnifications. The following microparticles were compared during testing: polystyrene (PS) microparticles with diameters of 10 μm (PS-10) and 20 μm (PS-20); barium titanate (BT) microparticles with diameters of 20 μm (BT-20) and 40 μm (BT-40). A mixture of all of these particles was diluted in deionized (DI) water (refractive index: 1.33), and a small drop of the solution was placed on the Blu-ray disc surface. A glass coverslip was then placed on top of the solution to form a flat surface and prevent solution evaporation. Figure 2b shows an optical image of the four types of particles, PS-10, PS-20, BT-20, and BT-40 marked as (d–g) in Figure 2b, respectively. The image of the particles was taken on a conventional microscope with an objective lens (20×, 0.45 NA) as schematically shown in Figure 2c. The parameter Z represents the focal height relative to the sample surface where the best image plane was achieved, as experimentally observed through the particle (Figure 2c). The Z-value changes with the image magnification of the microparticle, which is dependent on the size and refractive index of the microparticle.
The left panels in Figure 2d–g show the optical images of the structures on the Blu-ray disc that are captured using the four types of microparticles; the right panels show the simulated optical fields from the particles based on the finitedifference time-domain (FDTD) method (see Materials and Methods for more details).70,71 The simulation clearly shows the photonic nanojet effect, wherein a plane wave is focused to subwavelength scales of nanojet waist (Figure S2 in the Supporting Information). Moreover, the resolution along a particular direction depends on the focal property of the microparticle in that particular direction. As an example, we have simulated the focus of a 2 μm PS bead along two orthogonal directions with an FDTD method as shown in the Supporting Information Figure S3. These simulations indicated that the platform is capable of achieving super-resolution imaging of structures which are oriented in multiple directions. Figure 2h shows the line-profile of the four images as marked from the dashed lines in Figure 2d–g. Each line in Figure 2 from panel d to panel g provides the quantified visibility of the resolution of the nanostructures imaged through the particles. The resolution of a microsphere is governed by the waist width of the photonic nanojet, which is further determined by the size and refractive index of the microsphere.26,33,34 Resolutions down to 50–100 nm have previously been achieved using microspheres.26,33,34 In our experiments, Ge nanoparticles with a diameter of 100 nm were successfully imaged through a PS-20 microparticle, as shown in the Supporting Information Figure S4. The FOV of the AS-nanoscope is dependent on the objective lens used. The higher the NA of an objective lens used, the smaller the FOV. Visibility is used to quantitatively evaluate the quality of the images as calculated using the following equation
(1) |
where Imax and Imin are the peak and trough intensity, respectively. A visibility of 0 and 1 correspond to the lowest and highest quality of imaging, respectively. The visibilities from the different images are 0.558, 0.589, 0.296, and 0.250 when using the PS-10, PS-20, BT-20, and BT-40 particles, respectively. The visibility depends on several parameters including the type of light illumination, type of microparticle, and type of target sample. The PS-20 particle shows the highest visibility among these four particles; based on these results, we chose the PS-20 particle to be used in future experiments.
The Effect of Different Objectives on Imaging Performance.
Having determined that the PS-20 particle provides the highest visibility, we explored the imaging capabilities when combining the particles with objective lenses of different magnification and NA. Figure 3a–d shows the images of the Blu-ray disc that have been imaged through a PS-20 particle under four different objectives, that is, (5×, NA = 0.15, FOV = 4.4 mm), (10×, NA = 0.30, FOV = 2.2 mm), (20×, NA = 0.45, FOV = 1.1 mm), and (50×, NA = 0.80, FOV = 0.44 mm), respectively. The PS-20 particle is placed on the boundary of the Blu-ray disc nanostructures, such that nanostructures are present under the right half of the spherical particle, and no nanostructures are present under the left half of the particle. Figure 3e–h shows the line-profiles of the optical images as marked with red and blue dashed lines. The red dashed lines pass through the images from the PS-20 particle (Z = 7.5 μm), while the blue dashed line passes through the images that are directly imaged with the objective lenses (Z = 0 μm). The fine nanostructures can be resolved by imaging through the PS-20 particle with a 10× or 20× objective lens (visibility of 0.600 and 0.649 for the 10× and 20× objective lenses, respectively). However, these features cannot be resolved when only using the objective lenses. The nanostructures can be resolved when solely using a 50× objective lens with a visibility of 0.159, but the presence of the PS-20 particle can further improve the visibility to 0.426. The fine nanostructures of the Blu-ray disk cannot be resolved with the 5× objective lens even with the presence of the PS-20 particle. Results for the visibility achieved using each imaging combination are provided in Table 1. From these results, it is obvious that combining a PS-20 particle with either a 10× (FOV = 2.2 mm) or 20× (FOV = 1.1 mm) objective lens allows us to achieve both a large FOV as well as higher resolutions that cannot be realized with an objective lens in isolation. Moreover, the overall depth of field (DOF) of the AS-nanoscope is still limited to the DOF of the objective lens. A larger depth of field will guarantee all the images from the microparticles are still in focus. Because of the effects of gravity acting on the microsphere, the microsphere is expected to automatically follow the curvature of a sample surface as it is moved. A rough sample surface consisting of 100 nm Ge nanoparticles was successfully imaged from two separate PS-20 at two different positions, as shown in the Supporting Information Figure S4.
Table 1.
5× | 10× | 20× | 50× | |
---|---|---|---|---|
with PS-20 | 0.439 | 0.600 | 0.649 | 0.426 |
without PS-20 | 0.058 | 0.088 | 0.128 | 0.159 |
As viewed through a PS-20 microparticle with different magnifications of the microscope objective. Comparative values of the objective lens without microparticles are also provided.
The Effect of Illumination on the Imaging Quality.
Illumination can play an important role in determining the overall imaging quality when using an optical microscope. Thus, we experimented with two different types of illumination (transmission mode and reflection mode) to determine the optimal method for improving imaging performance. In the transmission mode, the illuminating light is first transmitted through the nanostructures and then passes through the PS-20 particle and exits through the 10× objective lens. In the reflection mode, the illuminating light first passes through the 10× objective lens and then through the PS-20 particle. The light is then reflected off of the sample and collected by the same PS-20 particle before returning to the 10× objective lens. Figure 4a,b shows optical images of the same nanostructures that have been imaged through a PS-20 particle with a 10× objective lens in the transmission and reflection illumination modes, respectively. Because the Blu-ray disk does not transmit green light, a grating pattern consisting of 800 nm wide chrome lines on a glass substrate (Micro Lithography Services Ltd., U.K.) was used for the experiments in this section. Under the same experimental condition, improved imaging quality is obtained when using the transmission mode, as seen by comparing panels a and b in Figure 4, and as shown in the line-profile in Figure 4c. The red and blue dotted lines show the line-profiles from the images shown in Figure 4a,b, as marked by the red and blue dashed lines, respectively. The same result is observed in the use of a 20× objective lens as shown in Figure 4d,e; these images show the corresponding images generated when using the transmission and reflection modes to analyze the same nanostructure with a 20× objective lens. Figure 4f shows the line-profile from the images shown in Figure 4d,e as marked by the red and blue dashed lines, respectively. In both cases, the images in transmission modes have a higher visibility (0.684, 10× and 0.664, 20×) than that of the reflection mode (0.182, 10× and 0.356, 20×). This phenomenon is likely caused by the fact that the double-light passing through the PS-20 particle in the reflection mode produces larger aberrations than that of a single-light passing through the particle in the transmission mode (Supporting Information Figure S5).
Acoustofluidic Scanning System.
Even though a static PS-20 particle can be used to significantly improve the resolution of a conventional microscope, its maximum FOV is limited to the physical diameter of the microparticle. To overcome this limitation, we designed an acoustofluidic scanning system that allows us to simultaneously scan multiple PS-20 particles across a 2.2 mm FOV size with a 10× objective lens; the combination of the microparticles with the 10× objective achieves the same FOV as the standard 10× objective but offers the same resolution as a 20× objective. We use the acoustofluidic device to translate the particles and capture high-resolution images of the entire FOV without moving the objective, as opposed to requiring manual FOV manipulation or integrating a costly automated mechanical scanning device. It should be noted that other methods, such as hydrodynamic forces, could also be used to move the microparticles for scanning. Acoustic waves were chosen in this work because it is convenient to load the microparticles onto the sample and integrate the acoustic transducer for programmable and real-time particle manipulation. The acoustofluidic scanning device (Figure 5b, top) utilizes a low-cost (~$1) piezoelectric transducer that is bonded on the top surface of a glass coverslip to generate flexural mode acoustic waves in the coverslip. The target sample to be imaged is placed under the bottom surface of the coverslip with a thin fluid layer with microparticles being contained between them, as shown in Figure 1. The excitation voltage signal for the piezoelectric transducer, which is generated by a function generator (AFG 3011, Tektronix), contains sine waves in a burst mode with a duty cycle of 50% and a burst rate of 0.5 Hz, as shown in Figure 5a. Upon excitation, the acoustofluidic scanning device can generate flexural mode acoustic waves in the glass coverslip; the wave energy further transmits into the fluid layer under the bottom surface of the coverslip to push the microparticles forward along the wave propagation direction. The three optical images from (i) to (iii) in Figure 5a show that a PS-20 particle (marked in a white circle) is pushed away by the acoustic wave every two seconds.
To visualize the acoustic waves generated by the acoustofluidic device, simulations are performed using the finite element software COMSOL Multiphysics (see Materials and Methods). The finite element model is built using the piezoelectric multiphysics, solid mechanics, and electrostatics modules. Using a time-domain study, we are able to visualize the acoustic waves that are generated by the piezoelectric transducer which are transmitted into the fluid layer between the glass coverslip and the target sample to be imaged. Figure 5b (bottom) shows the simulated wavefield on the glass coverslip layer; it can be seen that the generated waves propagate away from the transducer where they cause streaming in the fluid beneath the coverslip, which moves the PS-20 particles for the scanning process.
To investigate the scanning efficiency, we experimentally characterized the particle-moving ratio, which is defined as the number of moving particles divided by the total number of particles per activation period (period of the burst) of the transducer. In this experiment, PS-20 particles in DI water are added between the glass coverslip and the target sample to be imaged. The excitation voltage for the piezoelectric transducer is kept at 3 VPP, while the frequency of the excitation sine signal is swept from 100 Hz to 4 kHz with an increment of 100 Hz. The number of particles that move under influence from the acoustic wave is imaged and counted with a 10× objective lens. The experiment is repeated three times in the same experimental condition. Recorded image frames were processed by using the ImageJ software. Figure 5c plots the particle ratio with respect to the excitation frequency, showing that the highest particle-moving ratio of 93% can be achieved at 2.1 kHz. Figure 5d shows a stacked image acquired during the moving of the PS-20 particles. The stacked image shows that most of the particles move in the same direction as the propagation direction of the acoustic wave (Supporting Information, Video 1). Although a higher flow speed and a denser particle loading can lead to increased imaging speed, these factors may also lead to image blurring and particle overlapping. Therefore, a trade-off has to be made between the imaging speed and the flow speed and particle density.
Image Processing When Using the AS-Nanoscope.
Using moving microparticles, a series of nanoscale-resolution images corresponding to different positions of particles can be acquired; moving the microparticles ensures that a high-resolution image of each area within the FOV can be obtained. Stitching all of the acquired images together generates a high-resolution image over a large FOV. To experimentally demonstrate the capability of the AS-nanoscope, a target sample with the word “DUKE” was fabricated on a glass mask with 800 nm wide chrome grating lines and 800 nm spaces between adjacent features. A video was captured on a normal color CCD camera as the letter “DUKE” is imaged with the moving PS-20 particles and a 10× objective. A MATLAB image-processing tool was developed to process the images in the video and to form the final image with a high resolution and large FOV. The image-processing tool includes two parts: (1) particle recognition and position identification; and (2) recursive image merging. First, we developed a particle recognition algorithm which includes particle locating, cropping, and pasting, as demonstrated in the left panel of Figure 6a. At the same time, the central positions of each particle (x, y) relative to the imaging sample are automatically retrieved, which will be used during the image merging process. Microparticle images are pasted into the final image by specific αx and αy coordination. α = γ/β = 1.52 is the magnification factor that is obtained from the pitch ratio between the real image and virtual image as shown in the right panel of Figure 6a. Second, we designed a recursive image merging algorithm that can merge the scanned images captured through the microparticles. In the left panel of Figure 6b, red arrows show trajectories of six PS-20 particles. The final merged image from the six moving PS-20 particles are formed by applying the recursive image merging algorithm as shown in the right panel of Figure 6b (Supporting Information, Video 2). For this merged image, 100 image frames were processed. Figure 6c represents the image construction process of the letter “D” as the number of frames increases from 5 to 1,000; as more frames are used to form the merged image, a successively more complete letter is formed. The top and bottom rows of Figure 6d show the scanned images of the word “DUKE” based on our acoustofluidic method, and using a 10× objective in isolation, respectfully. Each image generated with the acoustofluidic method consists of 3500 image frames, which covers 99% of the imaged area (Table S1 in the Supporting Information). The image in the red boxes (i) and (ii) of Figure 6d provide close-ups of parts of the letter “K”. The fine detail of the letter is well resolved when using the acoustofluidic method, as opposed to boxes (iii) and (iv) which provide images from the 10× objective lens. In this experiment, the PS-20 particles in combination with the 10× objective lens (NA = 0.3, visibility of 0.682) have a resolving power similar to a 20× objective lens (NA = 0.45, visibility of 0.664) but has much larger FOV than that of a 20× objective lens. The FOV of the AS-nanoscope is only limited by the field view of the 10× objective lens, which is 2 times larger than the 20× objective lens (Figure S6 in the Supporting Information).
CONCLUSION
In this work we have documented the development of an AS-nanoscope that can achieve both high resolution and large FOV at the same time, which alleviates a long-existing shortcoming of conventional microscopes. The AS-nanoscope developed here can serve as either an add-on component to expand the capability of a conventional microscope, or could be paired with low-cost imaging platforms to develop a stand-alone microscope for portable imaging. The AS-nanoscope achieves high-resolution imaging without the need for conventional high-cost and bulky objectives with high NAs. The FOV of the AS-nanoscope is much larger than that from a conventional high-NA objective lens, and it is able to achieve the same resolving power. The AS-nanoscope automatically focuses and maintains a constant working distance during the scanning process thanks to the interaction of the microparticles with the liquid domain. The resolving power of the AS-nanoscope can easily be adjusted by using microparticles of different sizes and refractive indices. Additionally, it may be possible to further improve the performance of this platform by exploring additional microparticle sizes and materials, in combination with various objectives. Altogether, we believe this AS-nanoscope has the potential to be integrated into a wide range of applications from portable nanodetection to biomedicine and microfluidics.
MATERIALS AND METHODS
Simulation for Photonic Nanojets.
Propagation of near-field electromagnetic wave was simulated by using finite-difference time-domain method. Monochromatic incident light with 532 nm was propagated along the positive x-axis. Cylindrical model for microparticle with refractive index (PS, 1.6; BT, 2.2) in different radius and surrounding medium with refractive index (water, 1.33) were applied.
Device Fabrication and Experimental Setup.
An acoustic transducer (AB2720B-LW100-R, PUI Audio, Inc., U.S.A.) is bonded by epoxy (PermaPoxyTM 5 min General Purpose, Permatex, U.S.A.) onto a cover glass slide (24 × 60 mm No.0–3223, Erie Scientific LLC., U.S.A.). Microparticles are mixed with deionized water and drop cast to the sample surface. During the experiment, the volume of the microparticle solution was fixed to 20 μL to keep the consistency of the height of the water channel between the sample and cover glass. The sample is placed on an upright microscope (Eclipse LV100, Nikon, Japan). To minimize chromatic aberration, colored glass bandpass filter (FGV9 - Ø25 mm VG9, Thorlabs, U.S.A.) was used for the light illumination.
Microparticle Preparation.
To verify the super-resolution performance by the microparticle in different refractive indices, we choose polystyrene (PS, refractive index, 1.6, Sigma-Aldrich, U.S.A.) and barium titanate (BT, refractive index, 2.2, Cospheric, U.S.A.) microparticles in different sizes: 10 μm PS, 20 μm PS, 20 μm BT, and 40 μm BT, respectively. The microparticles are diluted before drop cast on the sample.
Simulation of Acoustic Streaming.
In order to better understand the acoustic streaming occurring beneath the glass slide, a detailed model of the acoustofluidic device was created in Comsol Multiphysics (version 5.3). The model incorporated the glass coverslip, epoxy bonding layer, and dual layer transducer (brass base and piezoelectric disc) to increase the similarity between experimental and numerical setups. Material properties were applied to different components using the materials library in Comsol. A time domain study was used to visualize the transducer excitation and subsequent waves generated in the glass coverslip. Utilizing the electrostatics module, a 2 kHz, 1 V oscillatory signal was applied to the transducer. The piezoelectric multiphysics module coupled the electrostatic solution with the solid mechanics module. A low reflection boundary layer condition was applied to either end of the glass slide, which we found to produce a vibration profile that was qualitatively consistent with previous experimental findings and sufficient for understanding the acoustic streaming within the device.
SEM Imaging of Nanopattern.
To verify the nanopattern on the Blu-ray disc, we used a scanning electron microscope (Hitachi TM3030 Plus Tabletop, Japan). Before the experiment, we uncovered the protection film from the Blu-ray disc and took an SEM image with 6000× magnification.
Supplementary Material
ACKNOWLEDGMENTS
We acknowledge support from the National Institutes of Health (UG3TR002978, R01GM132603, R33CA223908, R01GM127714, R01GM135486, and R43AG063643), United States Army Medical Research Acquisition Activity (W81XWH-18-1-0242), and National Science Foundation (CMMI-1761132; ECCS-1807601).
Footnotes
Supporting Information
The Supporting Information is available free of charge at https://pubs.acs.org/doi/10.1021/acsnano.0c03009.
(Figure S1) magnified images of Blu-ray disc surface are taken by different microscope objective and SEM; (Figures S2) analysis of super-resolution effects in different materials and sizes of microparticles; (Figures S3) simulation results of a 2 μm PS bead along two orthogonal directions with FDTD method; (Figure S4) Ge nanoparticles imaging through a PS-20 microsphere; (Figure S5) schematic explanation of reflection and transmission light illuminations; (Figure S6) comparison of optical resolutions of 800 nm chrome grating patterns of letter “K”; (Table S1) percentage of the FOV imaged versus the number of imaging frames and processing time (PDF)
Movie of microparticles movement by an acoustic energy distribution. (AVI)
Movie of microparticles movement and tracking. (AVI)
Complete contact information is available at: https://pubs.acs.org/10.1021/acsnano.0c03009
The authors declare the following competing financial interest(s): T.J.H. has cofounded a start-up company, Ascent Bio-Nano Technologies Inc., to commercialize technologies involving acoustofluidics and acoustic tweezers.
Contributor Information
Geonsoo Jin, Department of Mechanical Engineering and Material Science, Duke University, Durham, North Carolina 27708, United States;.
Hunter Bachman, Department of Mechanical Engineering and Material Science, Duke University, Durham, North Carolina 27708, United States;.
Ty Downing Naquin, Department of Mechanical Engineering and Material Science, Duke University, Durham, North Carolina 27708, United States.
Joseph Rufo, Department of Mechanical Engineering and Material Science, Duke University, Durham, North Carolina 27708, United States.
Serena Hou, Department of Mechanical Engineering and Material Science, Duke University, Durham, North Carolina 27708, United States.
Zhenhua Tian, Department of Mechanical Engineering and Material Science, Duke University, Durham, North Carolina 27708, United States.
Chenglong Zhao, Department of Physics and Department of Electro-Optics and Photonics, University of Dayton, Dayton, Ohio 45469, United States;.
Tony Jun Huang, Department of Mechanical Engineering and Material Science, Duke University, Durham, North Carolina 27708, United States;.
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