Stimulated Raman scattering (SRS) microscopy has shown superior chemical resolution due to the much narrower vibrational spectral bandwidth than its fluorescence counterpart. However, breaking the diffraction-limited spatial resolution of SRS imaging is much more challenging because of the intrinsically weak scattering cross section and inert/stable nature of molecular bond vibrations. We report superresolution SRS (SR-SRS) nanoscopy based on reversible-switchable vibrational photochromic probes integrated with point spread function engineering strategy. By introducing a Gaussian-shaped ultraviolet excitation beam and a donut-shaped visible depletion beam in addition to the pump and Stokes beams, SR-SRS could reach sub-100 nm resolution on photoswitchable nanoparticles (NPs). Furthermore, NP-treated live cell imaging was demonstrated with resolution improvement by a factor of ∼4. Our proof-of-principle work provides the potential for SR vibrational imaging to assist research on complex biological systems. |
1.IntroductionBreaking the optical diffraction limit of far-field fluorescence microscopy to achieve superresolution (SR) nanoscopy has refreshed the portrait of molecular organizations and interactions in biological systems,1–4 while the “color barrier” remains due to the intrinsically broad fluorescence spectra (). In contrast, vibrational imaging offers superior chemical resolution and supermultiplexed imaging capability with much narrower bandwidth (),5–7 as demonstrated by stimulated Raman scattering (SRS) microscopy on alkyne-tagged Raman probes.5,6 Consequently, spectral barcoding and immunostaining of 10 to 20 Raman species were realized,6,8 holding the promise of elucidating intricate interactions in biosystems. However, conventional SRS microscopy is still restricted to diffraction-limited spatial resolution ().9 Thus pushing SRS beyond the diffraction limit has expected merit to bridge SR and supermultiplexing to enable molecular imaging with extended spatial and chemical resolution. It is technically challenging to transfer the current fluorescence-based SR principles for SRS microscopy. Raman transition is hardly saturable for its weak cross section; local bond vibration is much more inert compared with electronic-state-coupled fluorescence and hence difficult to yield photobleaching or blinking properties. Despite the difficulties, extensive efforts have been made in sharpening the spatial resolution of SRS10–14 and coherent anti-Stokes Raman scattering (CARS) microscopy.15 The most straightforward means is to shorten the excitation wavelengths of SRS from the near-infrared to the visible range with the reduced point spread function (PSF),10 though the method is still diffraction-limited, and the use of short wavelengths risks more phototoxicity and reduced imaging depth. Subdiffraction vibrational imaging techniques have been explored based on weak saturation and high-order nonlinearity,11,13,15 which require much higher laser power to gain moderate resolution improvement. A recent demonstration of stimulated Raman excited fluorescence coupled with stimulated emission depletion strategy successfully broke the diffraction limit, but it requires strict frequency matching between vibrational and electronic transitions of specific dyes and involved more complex optical engineering for frequency modulation. In addition to the above optics-oriented methods, sample-oriented approaches, such as expansion-based SRS, have also been reported,12,14 but the complex sample preparation is incompatible with live biological samples. Computation-based SR-SRS has also been demonstrated, taking advantage of deconvolution and deep-learning algorithms,16 but the true optical means of SR-SRS imaging awaits more efforts for technical advances. Inspired by photoswitchable fluorescence-based SR techniques, such as reversible switchable/saturable optical fluorescent transition (RESOLFT) nanoscopy,17–19 here we report optical SR-SRS nanoscopy based on our previously developed photochromic Raman probes using diarylethene (DTE) derivatives with remarkable photoswitching properties in the cell-silent region with minimum background and high sensitivity due to the electronic preresonance-enhanced alkyne vibration.20 In addition to the ordinary pump and Stokes beams for SRS signal detection, an ultraviolet (UV) activation beam of Gaussian shape and a visible depletion beam of donut shape were integrated to confine the final SRS PSF. The tested native photoswitchable probes showcased the subdiffraction imaging capability. To further characterize the best resolution of the method, synthesized nanoparticles (NPs) with a size of 18 nm were imaged both in vitro and in live cells to demonstrate SR-SRS with sub-100 nm resolution, with ∼fourfold enhancement compared with conventional SRS. Our method holds promise to aid the development of SR-SRS imaging with the potential of vibrational supermultiplexing. 2.Methods2.1.Chemical SynthesisMethods for chemical synthesis and characterization of DTE-Ph can be found in the previous work.20 The synthesis of the DTE-Ph nanoparticles (DTE-Ph @ NPs) is stated below. 2 mL tetrahydrofuran (THF) solution mixture with a DTE concentration of 0.1 g/L and a poly(styrene-comaleic anhydride) (PSMA, cumene-terminated, average , styrene content 68%, purchased from Sigma-Aldrich) concentration of 0.01 g/L was quickly added into 10 mL of water in a bath sonicator for 3 min. The solution was bubbled by nitrogen and heated to 90°C to remove THF. Then the suspension solution was filtered by a filter. 2.2.SR-SRS Nanoscopy SetupOur imaging setup was based on a conventional SRS microscope coupled with an additional visible and UV laser source and is illustrated in Fig. 1. For the SRS microscope, pulsed femtosecond laser beams from a commercial optical parametric oscillator (OPO) laser (Insight DS+, Newport, California, United States) were used as the laser source. The fixed fundamental 1040 nm laser was used as the Stokes beam, while the tunable OPO output (680 to 1300 nm) served as the pump beam. Chirped by SF57 glass rods, pulse durations of the pump and Stokes beams were stretched to and , respectively. The intensity of the 1040 nm Stokes beam was modulated at 1/4 of the laser pulse repetition rate () using an electro-optical modulator (EOM). The two pulse trains were spatially and temporally overlapped through a dichroic mirror () and delay stage (DS), delivered into a laser scanning microscope (FV1200, Olympus), and focused onto the sample with an objective lens (Olympus, UPLSAPO60XW, NA = 1.2). The forward-going pump and Stokes beams, after passing through the samples, were collected in transmission with a high-NA condenser lens (oil immersion, 1.4 NA, Nikon). The stimulated Raman loss signal was optically filtered (CARS ET890/220, Chroma), detected by a homemade reverse-biased photodiode (PD), and demodulated with a lock-in amplifier (LIA) (HF2LI, Zurich Instruments) to feed the analog input of the microscope to form images. In order to induce the conversion of the DTE molecules, an additional HeNe laser served as the visible beam and was engineered into a donut shape with a vortex retarder (VR) (VR1-633, Lbtek), and a solid-state diode laser (UV-FN-360, Changchun New Industry Optoelectronic Technology Co., China) provided the activation UV beam. Visible and UV beams were coupled into the path of pump and Stokes beams through dichroic mirrors ( and ). All laser powers were measured after the objective lens. For experiments in Figs. 2 and 3, the Stokes laser power was 9 mW and the pump laser power was 6 mW, while the visible light is and UV power was kept at for SR-SRS. For the cell imaging shown in Fig. 4, the laser powers were used as and , , and . Pixel dwell times were set at . To meet the Nyquist sampling theorem, an imaging area of with was set (pixel sampling size of 26 nm). 2.3.SRS Imaging of DTE-Ph @ NPsThe DTE-Ph @ NPs suspended solution (370 ppm; parts per million) was resuspended in deionized water by a 1:200 dilution. The solution is sonicated for 10 min at room temperature before being dropped onto a glass slide. When the solution is naturally dried, the slide is sandwiched by a cover glass for SRS imaging. 2.4.Cell Culturing and ImagingBefore labeling experiments, HeLa cells were cultured with a DMEM medium (Invitrogen, 11965092) supplemented with 10% FBS (Invitrogen, 16000) and 1% penicillin–streptomycin (Invitrogen, 15140) at a humidified environment at 37°C and 5% . All samples were assembled into a chamber using a homemade punched slide filled with PBS solution for imaging. In the experiment of NP treatment, cells were seeded and cultured on a glass coverslip in a 6-well plate for 24 h and then incubated with 2 ppm DTE-Ph @ NPs for 4 h. Before imaging, cells were washed with PBS 3 times. 2.5.Fourier Transform Infrared SpectroscopyThe IR spectra presented in Fig. S9 in the Supplementary Material were measured using a Bruker Fourier transform infrared (FTIR) spectrometer (Vertex 70v) equipped with a Hyperion 2000 microscope at room temperature. Before the test, DTE powder () was dissolved ahead of time in 0.5 mL poly(methyl methacrylate), and the mixture was spin-coated onto a quartz substrate. The incident light was focused on the coated DTE sample using a 15× IR objective, and IR radiation was collected by a liquid nitrogen cooled mercury cadmium telluride detector. 3.Results3.1.RESOLFT-Based SR-SRS MicroscopyTypical far-field SR nanoscopy breaks the diffraction barrier by manipulating molecules into different states in the time (localization-based) or spatial (PSF engineering-based) domain.17,21–24 Localization-based methods differentiate identical single molecules on the basis of individual stochastic behavior in time with either photobleaching or reversible blinking under wide-field illumination.23,24 Such wide-field imaging modality is incompatible with the point-scanning-based SRS; hence we chose to realize SR-SRS by PSF engineering combined with photoswitching properties. The optical setup of our SR-SRS was constructed by integrating a basic SRS signal detection/imaging framework with a RESOLFT focal engineering part [Fig. 1(a)]. For the conventional SRS, a fixed fundamental laser beam (1040 nm) stretched to was used as the Stokes beam, and the tunable OPO output (680 to 1300 nm, stretched to ) served as the pump beam, both of which kept Gaussian-shaped intensity profiles with diffraction-limited overlapping focal spots (see Fig. S1 in the Supplementary Material). Since the photoswitchable Raman probes follow UV activation and visible quenching when imaged at the alkyne Raman band of the closed-ring isomer ( for DTE-Ph),20 a Gaussian-shaped UV beam (CW solid-state diode laser, 360 nm) was used to turn on the molecules, whereas a visible donut-shaped beam (CW HeNe laser, 633 nm) was used to switch off the SRS signal to sharpen the PSF. Figure 1(b) indicates that the donut beam was converted from a Gaussian beam by a VR as verified by CCD imaging before and after the VR. In the end, the four beams were combined and overlapped through DMs to interact with samples under the laser scanning microscope. The PSF profiles of the visible and UV beams after the objective lens were determined by imaging the light scattering of single Au NPs [Fig. 1(c)]. Thus the working principle of SR-SRS could be clearly pictured: at the particular SRS detection frequency, only molecules at the very center of the focal spot remain in the “on-state” by continuous UV activation, whereas the peripheral molecules in the donut area are erased as they frequency-shifted to the “off-state” by visible-light-induced isomerization [Fig. 1(d)]. The competition of UV and visible spots effectively compresses the PSF of the final SRS signal, improving the spatial resolution beyond the diffraction limit. 3.2.Reversible Photoswitching Properties of Raman ProbesFluorescence-based SR microscopy mostly relies on the sensitive photochemical or photophysical properties of electronic transitions in fluorescence probes, which are usually lacking in vibrational transitions, hindering Raman probes from possessing photoactive properties for SR imaging. In our previous work, we screened out two photochromic vibrational probes—DTE-TMS and DTE-Ph (see Fig. S2 in the Supplementary Material) and demonstrated reversible photoswitchable SRS imaging.20 Here we chose to use a DTE-Ph molecule to investigate SR-SRS because of its enhanced SRS signal intensity and superior on–off ratio () in the background-free spectral region, which are the keys to optimizing the spatial resolution of RESOLFT-based SR microscopy. We first characterized the critical photoswitching properties of DTE-Ph to obtain the optimum activation and depletion parameters. The photoisomerization of DTE-Ph renders a large SRS frequency shift () of the alkyne vibration, switching between the closed-ring () and the open-ring () isomers under UV/visible light irradiations [Fig. 2(a)]. Unless specifically stated, SRS detection frequency was kept at throughout the work; hence the on/off states were defined as the closed/open-ring isomers. Figure 2(b) shows robust reversible on/off switching behavior and a high on/off ratio of the probe molecule under periodic and out-of-phase UV/visible irradiations (), with clear transition times during the activation and depletion processes. We measured the onset transition time under various UV doses to determine the optimum activation parameters for the laser point-scanning imaging mode. As the UV dose increased, the transition time continuously shortened till it reached a constant level () at the UV power of [Fig. 2(c), ]. A prolonged UV irradiate dose is likely to cause irreversible photoreactions to kill the switchable capability;25,26 thus the preferred UV activation power was set to 20 to with a pixel dwell time of . The depletion property of visible irradiation was characterized by measuring the SRS intensity of the probe molecules with varying visible power under a fixed UV dose (). It can be seen that visible irradiation could effectively suppress the SRS signal, and almost completely depleted it when the visible power reached above [Fig. 2(d), ]. 3.3.SR-SRS Imaging of Native Probe MoleculesWith the determined activation and depletion parameters, we then performed SR-SRS on native probe molecules in powder form. The applied laser powers of the four beams were set as for the UV (360 nm), for the visible (633 nm), 6 mW for the pump (845 nm), and 9 mW for the Stokes (1040 nm). A pixel dwell time of was chosen to match the switching time. In the presence of the visible beam, the SR-SRS image showed overall reduced signal intensity compared with conventional SRS due to the compressed effective PSF, as shown in Figs. S3(a) and S3(b) in the Supplementary Material. Meanwhile, more details of the morphological features could be visualized [see arrowhead in Fig. S3(a) in the Supplementary Material]. To make a more direct comparison, the line-cut profiles were taken across the imaged region with normalized intensities [Fig. S3(c) in the Supplementary Material]. As illustrated in the shadow-colored regions of the line profiles, the conventional SRS image only depicted three broad lumps, whereas the SR-SRS image resolved a number of much sharper peaks, indicating improved spatial resolution. For quantitative evaluation, the intensity distributions across the edges of the imaged powder were extracted and shown in Figs. 2(e) and 2(f). The data were fitted with error function [] to determine the resolution quantitatively, where , , and are the fitting parameters.11,15 The lateral resolution could be calculated as the full width at half maximum (FWHM) of the Gaussian function in the fitting function [Figs. 2(g) and 2(h)]. Although conventional SRS provided a resolution of , SR-SRS presented a value of , offering an improvement factor of . However, this approach only offers a quick and rough estimation; it might underestimate the resolution because the physical interface of the sample might not be a true sharp step. 3.4.SR-SRS Nanoscopy of Optimized DTE-Ph NPsTo more precisely characterize the resolution of SR-SRS, the probes were synthesized into DTE-Ph @ NPs as detailed in Sec. 2. Briefly, DTE-Ph molecules were swelled by PSMA in a concentration of around 90% and formed nanoscale spherical particles [Fig. 3(a)]. The size of the DTE-Ph @ NPs in water suspension was determined by dynamic light scattering (DLS), showing an average diameter of [Fig. 3(b)]. The compact particle size is suited for the demonstration and characterization of SR imaging capability. DTE-Ph @ NPs were spread onto a glass slide by evaporating a drop of NP solution at room temperature and were imaged without further processing. SRS spectroscopy verifies the same photoswitching properties of DTE-Ph @ NPs as the native probe (see Fig. S4 in the Supplementary Material). Meanwhile, we noticed a slightly increased transient absorption background in the SRS spectrum under UV irradiation. Nonetheless, such a background was not seen in the open-ring isomer upon visible-light illumination; thus the on/off ratio remained sufficient to ensure a high improvement factor of the spatial resolution. For direct comparison, we imaged the DTE-Ph @ NPs with conventional SRS and SR-SRS, as shown in Fig. 3(c). Individual bright dots of the NPs indicated that the particles were dispersed with small amount of aggregation, well suited for quantifying the resolution. As we switched from conventional SRS to SR-SRS by coupling the UV-activation and visible-depletion beams, the imaged NPs appeared much sharper, with reduced signal intensity and particle sizes, indicating a significant increase of spatial resolution [Fig. 3(c)]. This could also be verified by comparing the imaging results of UV-only, visible-only, and UV + visible (see Fig. S5 in the Supplementary Material), showing the resolution enhancement truly originated from the combination of UV and visible beams. Single-dot analysis showed that measured NP sizes as small as [arrowhead in Fig. 3(d)] could be identified by FWHM fitting using Gaussian functions in the magnified areas of the SR-SRS image [red dotted rectangle in Fig. 3(c)]. Compared with the 380 nm size determined by conventional SRS of the same NP, an enhancement of the lateral resolution by a factor of could be reached. We also demonstrated SR imaging in regions with more crowded particles, where dots/aggregates were often too close to be resolved in conventional SRS. In contrast, the fine features could be clearly identified in SR-SRS images, including the isolation of two nearby particles and the differentiation of multiple substructures in the aggregates [Fig. 3(e)]. More obvious distinction could be visualized in the merged image, as the dots imaged with SR-SRS (red) appeared more compact than that in conventional SRS (green). The resolution enhancement could also be clearly shown in the intensity profiles along the line cuts across particles and aggregations, as shown in Fig. 3(f) and the lines in Fig. 3(e). Unresolvable peaks in conventional SRS could now be well differentiated as multiple peaks in SR-SRS, and the sharpest peak in each profile was characterized by Gaussian function to verify the sub-100 nm resolution [see lines #1 and #2 in Fig. 3(f)]. More data for intuitive comparison of NP images may be found in Fig. S6 in the Supplementary Material. We have performed a statistical analysis of imaged particles to present the PSF size improvement [see Fig. 3(g)]; these were all the particles selected within a single image to meet the criteria of the weakest measurable signal to avoid aggregates larger than the SR PSF. 3.5.SR-SRS Imaging of Live CellsTo further demonstrate the potential of SR-SRS nanoscopy for biological imaging, we fed HeLa cells with the DTE-Ph @ NPs as detailed in Sec. 2, on account of the cellular uptake of NPs via endocytosis with low toxicity.27,28 The treated live HeLa cells were imaged with both conventional and SR-SRS modalities. In Fig. 4(a), we first checked the cellular regions using rapid-scanning mode in the C–H vibrational band for lipid/protein imaging ( for and for ) to locate the cells of potential interest under low magnification. Then the field of view was zoomed-in to observe finer intracellular features, including subcellular compartments and lipid droplets, as shown in the C–H channels, as well as the endocytosed NPs imaged in the alkyne channel () without any background inference from the cells. To meet the Nyquist sampling theorem, an imaging area of with was set (pixel sampling size of 26 nm). From the SRS images of NPs and cells, we can see the dots tend to stay in cytoplasm with sparse distribution because of the low uptake concentration, offering the basis of resolution quantification for live cell imaging. The sizes of the smallest dots found inside cells matched well with the in vitro results [Figs. 3(d) and 4(b)]. The FWHM of the dot in conventional SRS image was analyzed to be , in contrast to that of in the corresponding SR-SRS image, proving the ∼fourfold enhancement of resolution of our system [Fig. 4(b)]. Similar results could be seen repeatedly in different cells with sub-100 nm resolution [Figs. 4(c) and 4(d)]. Figure S7 in the Supplementary Material shows the statistical results of the resolution measurement. 4.DiscussionBiological research usually favors optical imaging methods because of their nondestructive nature, which is compatible with the dynamic observation of living systems, in contrast to destructive techniques, such as cryogenic electron microscopy, while the relatively low spatial resolution limits the optical study of structural details. Improving the resolution of optical microscopy has long been pursued; although it has shown numerous successes in SR fluorescence nanoscopy, it remains challenging for vibrational imaging to reach the subdiffraction limit. SRS microscopy offers high chemical specificity and multiplexity by probing molecular bond vibrations.5,6 In addition to the initial aims of label-free chemical imaging,29–32 SRS has recently branched into a unique labeling imaging technique.20,33–38 Alkyne-based Raman probes showed remarkable advantages of high sensitivity, freedom from cellular background, and narrow spectral linewidth.38 We have stepped further to engineer photoswitchable Raman probes by coupling alkyne groups with photochromic DTE molecules.20 Compared with other forms of photoswitchable Raman probes,35,36 DTE-alkyne molecules showed superior signal intensity, photostability, fatigue resistance, and minimum background. These properties are crucial for SR-SRS imaging under RESOLFT geometry, especially for pushing forward the spatial resolution, where the major limiting factors include the reduced signal-to-noise ratio (SNR) due to the smaller and smaller PSF, and the nonswitchable background (e.g., cell spectra in the fingerprint region) may effectively limit the on/off ratio. Thanks to the superb photoswitching properties of DTE-Ph probe, we have reached down to sub-100 nm resolution with low-power UV and visible beams, in contrast to other types of optics-oriented SR-SRS with moderate resolution improvement.11,13 Comparing with sample-oriented SR-SRS methods,12,14 our approach does not require complex sample processing; hence, it is compatible with live bioimaging. With functional targeting modification, the SR modality could be reached in organelle structure imaging to map subcellular architectures and study their biological behaviors, such as mitochondria–mitochondria contact and endoplasmic reticulum modulation. SR-SRS may also be integrated with immunohistochemical labeling to resolve finer structures with higher specificity. Note that ideally SR supermultiplex vibrational imaging should be achieved with the current experimental design. However, engineering a series of high-quality photoswitchable Raman probes becomes the technical bottleneck to realizing this goal. Moreover, as can be seen in the quantitative results [Figs. 2(g), 2(h), 3(d), 3(f), and 4(b), 4(d)], the SNR of SR-SRS may be the ultimate limit for further improvement of spatial resolution; yet it is inappropriate to increase the power of pump and Stokes beams because they are more likely to induce photocyclization through the two-photon absorption effect (see Fig. S8 in the Supplementary Material). Apart from the experimental improvements, image denoising might be an additional choice to increase the SNR, owing to the rapid development of deep-learning algorithms.39–42 Furthermore, as another powerful vibration spectroscopy, IR absorption coupled with photochromic probes may demonstrate interesting photoswitching capability, as shown in Fig. S9 in the Supplementary Material and could be potentially realized for SR vibrational imaging as well. In conclusion, we have constructed SR-SRS nanoscopy based on photoswitchable probes combined with RESOLFT strategy and demonstrated improved resolution down to sub-100 nm. Both in vitro and live-cell imaging results were consistent with the enhancement factor of compared with conventional SRS. Our methods may be extended to achieve SR supermultiplex vibrational imaging with further developments of photoswitchable Raman probes. Data AvailabilityThe data that support the findings of this study are provided in the Supplementary Material and are available from the corresponding author upon request. Author ContributionsJ.A. engineered the SR-SRS light path, performed the SRS data, biological studies and analyzed the data; X.F. performed the chemical synthesis and the DLS analysis; M.J. and C.W. conceived the concept. J.A., X.F., C.W., and M.J. designed the experiments and wrote the paper with input from all authors. AcknowledgmentsWe would like to thank P. Wang for the kind provision of SM fiber and H. Yan for the support of FTIR measurement. M. Ji would like to acknowledge the financial support from the National Key Research and Development Program of China (Grant No. 2021YFF0502900), the National Natural Science Foundation of China (Grant Nos. 61975033 and 81771930), the Shanghai Municipal Science and Technology Major Project (Grant Nos. 2017SHZDZX01 and 2018SHZDZX01), and ZJLab. C. Wu would like to acknowledge the financial support from the Shenzhen Science and Technology Innovation Commission (Grant No. KQTD20170810111314625) and the National Key Research and Development Program of China (Grant No. 2018YFB0407200). ReferencesS. W. Hell,
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BiographyJianpeng Ao received his PhD in physics from Fudan University, Shanghai, China, in 2023. His research mainly focuses on the technical innovation and application of nonlinear vibrational imaging. Xiaofeng Fang received his PhD from the School of Electronic Science and Engineering at Jilin University in 2017. He continued his research as a postdoc at the Southern University of Science and Technology from 2017 to 2019. Currently, he is an assistant professor in the Department of Biomedical Engineering at the Southern University of Science and Technology. His research interests include the design, synthesis, and biomedical applications of organic functional materials. Liyang Ma received his bachelor’s degree in physics from Shandong University, Shandong, China, in 2021. He is currently a PhD candidate in the Department of Physics, Fudan University, Shanghai, China. His research mainly focuses on the biomedical applications of SRS microscopy. Zhijie Liu received his bachelor’s degree in physics from Wuhan University of Technology, Wuhan, China, in 2019. He is currently a PhD candidate in the Department of Physics, Fudan University, Shanghai, China. His research mainly focuses on deep-learning-based imaging processing. Simin Wu received her PhD in physics from Fudan University, Shanghai, China, in 2023. She is interested in studying fundamental sciences in innovative materials via pump–probe spectroscopy. Changfeng Wu received his PhD from the Department of Chemistry at Clemson University. He is currently a professor and associate chair in the Department of Biomedical Engineering at the Southern University of Science and Technology. His research is focused on the development of fluorescent probes for SR imaging, biosensing, and nanomedicine. Minbiao Ji received his PhD from the Department of Physics at Stanford University. He is currently a professor in the Department of Physics at Fudan University. His research is focused on using nonlinear optical spectroscopy and microscopy to study chemical physics, material sciences, and biomedical problems. |