# Rapid single-wavelength lightsheet localization microscopy for clarified tissue

## Abstract

Optical super-resolution microscopy allows nanoscale imaging of protein molecules in intact biological tissues. However, it is still challenging to perform large volume super-resolution imaging for entire animal organs. Here we develop a single-wavelength Bessel lightsheet method, optimized for refractive-index matching with clarified specimens to overcome the aberrations encountered in imaging thick tissues. Using spontaneous blinking fluorophores to label proteins of interest, we resolve the morphology of most, if not all, dopaminergic neurons in the whole adult brain (3.64 × 107 µm3) of Drosophila melanogaster at the nanometer scale with high imaging speed (436 µm3 per second) for localization. Quantitative single-molecule localization reveals the subcellular distribution of a monoamine transporter protein in the axons of a single, identified serotonergic Dorsal Paired Medial (DPM) neuron. Large datasets are obtained from imaging one brain per day to provide a robust statistical analysis of these imaging data.

## Introduction

Exceeding the Abbe diffraction limit of optical microscopy has been one of the most exciting technological developments in life science. The unprecedented nanometric resolution achieved by several super-resolution techniques, including stimulated emission depletion microscopy1, structured illumination microscopy2, photo-activated localization microscopy3 and stochastic optical reconstruction microscopy4, has led to numerous breakthroughs in biology. Despite their successes, these techniques require the use of a high numerical aperture (NA) objective with short working distance which limited the observation depth to the vicinity of a coverslip surface5,6, yielding relatively small imaging volumes compared to the size of most tissue specimens. Several research groups have attempted to modify the designs of localization microscopy techniques to accommodate larger imaging volumes7,8,9,10,11. Among these studies, a combination of ultra-thin Bessel12 or lattice lightsheet13 and point accumulation for imaging in nanoscale topography microscopy has achieved sub-100 nm resolution in samples with over 20-μm thickness10. Premature photo-bleaching was effectively suppressed by utilizing the inherent optical sectioning of lightsheet9,10,11, whereby an oversampling localization density was attained10,11. Moreover, lightsheet illumination extends the imaging area away from the coverslip, thereby enabling the use of thicker specimens, such as neuromast organs and zebrafish embryos10. By choosing appropriate imaging parameters, the combination of lightsheet and localization microscopy can be used with living cell for tracking protein complex11.

A more ambitious goal is to apply this technology and to perform three-dimensional (3D) imaging of subcellular features in large biological tissues. Due to photon scattering in these tissues, however, the quality of the image significantly degrades with observation depth, making super-resolution imaging much more difficult. To reduce the out-of-focus signal, genetic tools can be used to limit the expression of proteins within a small subset of neurons14. With mechanical sectioning, super-resolution imaging can, therefore, be carried out on 8-µm cryosections to reveal the subcellular features of neurons14. Because the structural integrity of a tissue is easily disrupted by mechanical sectioning14, the challenge has remained in implementing such techniques to larger specimens or to map protein distributions within the whole brain. Two recent studies have used a mounting medium with a high refractive-index (RI) to capture super-resolution images of neurons and mRNA molecules from the whole fly brain using Airyscan15 or Bessel Beam Structured Illumination Microscopy16, respectively. The optical resolution in these studies nonetheless was still limited to greater than 100 nm. Further, the dehydration caused by organic solvents in the mounting medium likely altered the structural integrity of the samples and the chemical properties of the labeled fluorophores16.

To address these issues, we use a water-based optical clearing agent to eradicate the RI mismatch arising from different cell morphologies and constituents within the fly brain, thereby minimizing light scattering and ensuring minimal perturbation of the sample structure. To break the depth of field (DOF) limit of detection objective with long working distance, the profile of the ultra-thin Bessel lightsheet convolves with the detection point spread function (PSF) to create a thin optical sectioning plane. Refined by post-processing based on the defocusing model, the signal-to-background ratio is improved11, thus we are able to confined single-molecule localization within each optical section, and also to achieve super-resolved sub-100 nm lateral resolution throughout the entire sample. In addition, we use spontaneously blinking fluorophores HMSiR17, which have been synthesized specially for super-resolution localization microscopy. By densely labeling the proteins of interest with spontaneously blinking fluorophores, we are able to map complex nanoscale structures within a considerable imaging volume using our lightsheet localization microscopy. Our success in establishing a strategy for 3D super-resolution microscopy at nanometric resolution opens up exciting applications, including the quantification of synaptic protein densities through large brain volumes.

## Results

### Lightsheet localization microscopy for clarified tissue

Our lightsheet localization microscopy for clarified tissue (LLM-CT) shares a similar optical path with lattice lightsheet microscopy (LLSM13; Fig. 1a–d and Methods). Instead of using a spatial light modulator to generate lightsheet in LLSM, the lightsheet was generated from a scanning Bessel beam created by a lens-axicon doublet, illuminated by a Gaussian laser beam18 (Fig. 1b). Illuminated by varied Gaussian beam sizes, different ring-shaped focal patterns were formed, which were tuned to modulate the lightsheet length (Supplementary Fig. 1). The resulting ring pattern was further filtered by an annular ring mask placed on the Fourier plane conjugated to the back aperture of the customized excitation objective (Fig. 1a, c; N.A. = 0.5, working distance = 12.8 mm; Supplementary Fig. 2b)19,20. The principle of scanning Bessel beam lightsheet microscopy has been discussed in previous papers19,20, and a detailed description of our system can be found in the methods section. The Bessel beam has been described as a self-reconstruction light beam that is particularly effective for penetrating a thick tissue19,20. In optically clarified tissues (Fig. 1d), the axicon-generated Bessel beam of over 200 μm (Fig. 1e, Supplementary Fig. 3i, o) is scanned through the imaging plane to form a time-averaged virtual lightsheet. The axial energy distribution of the illumination is mostly confined within a 0.55 μm thick layer which reduces premature bleaching of the fluorophore outside the imaging plane (Supplementary Fig. 3m, n). Volumetric imaging is conducted by scanning simultaneously the detection objective and the excitation lightsheet. Because the imaging volume created by scanning the lightsheet is relatively large in relation to the volume of a fly brain, whole-brain super-resolution can be reconstructed by stitching only four sub-volumes (Fig. 1f).

### Localization precision in optically cleared fly brains

Traditional localization microscopy relies on photon-triggered quantum state switching of fluorophores either with exposure to a short wavelength or with high-power illumination leading to ground state depletion3,4,21. Use of an additional activation laser prolongs image acquisition time and potentially introduces more photo-bleaching. The high intensity illumination, on the other hand, will exert exceeding laser fluence to the surroundings near the imaging plane, which causes premature photo-bleaching and loss of localization density. To produce a localization microscope system with a moderate excitation power, we employed a spontaneously blinking fluorophore, HMSiR17, which can be excited efficiently by a red-wavelength laser (λ = 637 nm) at a relatively low power density. This low excitation power requirement allows the imaging area in our set-up from a single exposure to be as large as 2 × 104 μm2 (Fig. 2a).

To demonstrate our localization microscopy technique, a tissue sample maintained in phosphate-buffered saline (PBS) first was imaged with a water-based lightsheet system11 (Supplementary Figs. 2a, 4). As depicted in Supplementary Fig. 4, the positions of fluorophores were identified unambiguously by using ThunderSTORM22, and the reconstructed images demonstrated improved resolution. Due to tissue-induced aberrations, we observed an increase in lateral localization uncertainty in deeply located structures (Supplementary Fig. 4a). This increase in localization uncertainty resulted in a deterioration of the resolution of the reconstructed image and the increasing observed line width of dendritic structures, compared to images derived from shallower regions (Supplementary Fig. 4b). To improve this technique for imaging deep tissues, we integrated lightsheet with optical tissue clearing technology23,24. When the fly brain was cleared with neutral ScaleView-A2 solution (Methods)25, the blinking signals observed in MZ19-Gal4-labeled olfactory neurons, located around 100 µm deep, became more distinguishable and had a better signal-to-noise ratio than those observed with PBS-based images (Fig. 2b–d, Supplementary Fig. 5). As we imaged through all HMSiR-labeled MZ19-Gal4 projection neurons, whose dendrites extend from the antennal lobe (AL) at the frontal surface of the brain to the axon terminals innervating the calyx of mushroom body (MB) at the posterior brain surface, we determined that our system was able to localize all blinking signals through an entire brain with minimum change in localization uncertainty and without mechanical sectioning (Fig. 2e, f).

### Whole-brain imaging using LLM-CT for HMSiR-labeled neurons

LLM-CT allowed 3D nanoscopic imaging of MZ19-Gal4-labeled neurons. The superior quality of these images represents a substantial improvement over conventional lightsheet images acquired using the same system configuration (lightsheet microscopy for clarified tissue, LM-CT), including excitation wavelength and optics (Supplementary Fig. 6, Supplementary Movie 1). Due to the dense labeling of HMSiR (Fig. 3a), over 50 million molecules were localized in just 3 glomeruli on one side of antennal lobes with a lateral precision of ~20 nm over 60 μm depth in 1200 repeated imaging volumes (Fig. 3b; enlarged in Fig. 3c, Supplementary Movie 2). To determine a realistic acquisition time with a reliable statistical basis, we plotted the theoretical resolution with respect to time based on the structural features of our samples (Fig. 3d–g). Two-dimensional (2D) localization density (number of localization events/area of the structure) increases exponentially with the number of frames. As the number of sampling frames increased, growth of localization density eventually slowed because of photo-bleaching and a depletion of dye molecules (Fig. 3d). The theoretical resolution limit of localization density was estimated by localization precision and the Nyquist resolution26. Resolution power increased rapidly in the first 400 frames (Fig. 3e) but then slowed down and converged at about 60 nm. This represents a lower bound at which the finest structures can be resolved with the current imaging parameters (Fig. 3e). Similarly, the Fourier ring correlation (FRC) value, which reflects the finest structure can be distinguished in the image, decreases with the frame (Fig. 3f)27,28. If an infinite photon budget existed and no photo-bleaching occurred, the localization density would increase monotonically with the number of sampling frames. Such modeling indicates that the theoretical resolution may reach 20 nm when 15,000 frames per layer are used for image reconstruction, which represents a 25-fold increase in the acquisition time used for this study (Fig. 3g).

With LLM-CT, the super-resolved image quality of olfactory projection neurons was maintained throughout the entire adult brain (Fig. 4a, b, Supplementary Movie 3). Notably, the photoelectric sensors in conventional fluorescence imaging have a limited dynamic range for detection sensitivity. Thus, simultaneously capturing structures with both strong and weak fluorescence signals in a single image is difficult (Fig. 4c). In localization microscopy, the individual molecules are reconstructed separately based on the histogram of localization events, and consequently the imaging is less sensitive to intensity differences in a single image. When imaging densely bundled neural fibers connecting the brain with the body, for instance, LLM-CT captured significantly more fibers than LM-CT (Fig. 4d), and individual brain-ascending/descending fibers could be manually segmented (Fig. 4e). LLM-CT also enabled the 3D visualization of individual synaptic proteins. For example, we were able to image the Down syndrome cell adhesion molecules (Dscam) within a single spine-like protrusion on a dendrite of the giant fiber neuron (Fig. 4f, g).

### Visualizing fine neurites in the whole adult brain

To apply our LLM-CT system to intact adult brain, HMSiR was immunostained to the green fluorescent protein (GFP) labeled dopaminergic neurons with a TH-Gal429 using anti-GFP antibody (Methods), and mapped the distribution and wiring patterns of all TH-Gal4 neurons throughout the adult brain (Fig. 5a). Typically, more than 100 million HMSiR blinking signal were detected within each of the four sub-volumes used to reconstruct super-resolution images of the entire brain during a <1-day acquisition time (Methods). To analyze the resulting large dataset of raw blinking images for whole-brain reconstruction, we created a parallel computing pipeline process based on ThunderSTORM22 on a Lustre-backed Torque cluster (Supplementary Fig. 7). This large-volume super-resolution protein mapping enabled simultaneous visualization of the putative dopaminergic neurons labeled with strong GFP signal in the central brain, as well as the fine neurites labeled with weak GFP signal in the optic lobe (Fig. 5b, c, e). A majority of MB-innervated dopamine neurons direct their axons into the vertical lobe30. We calculated the innervation density of TH-Gal4-labeled MB neurons in each sector of the vertical lobe and determined that the middle part of the vertical lobe (sectors α2, α′2) had the highest innervation density (Fig. 5d).

By applying the defocusing PSF model during post-processing of the data (Supplementary Note 1; Supplementary Figs. 8 and 9), digital segmentation of individual neurons, with nominal axial overlap, was achieved in a whole-brain 3D image (Fig. 5e, f). Serial optical slices and 3D navigation demonstrated extensive yet separable neurites (Supplementary Movie 4).

### Visualizing protein spatial distribution within a single neuron

Expression level and spatial distribution of proteins are essential to the function of a cell. Scientists historically quantify such endogenous proteins with immunostaining and visualize the label intensity at the cell body with confocal or wide-field microscopy to represent the expression level (Fig. 6a). Like many proteins, vesicular monoamine transporter (VMAT) needs to be transported and/or locally synthesized at neuronal terminals to be functional and might be regulated locally by modulatory signals31, resulting in variable expression within a given neuron32. We explored this idea by visualizing VMAT molecules in a specific MB local neuron–the dorsal paired medial (DPM) neuron, located in the central brain, and calculated the density of VMAT protein along the different sub-regions in the MB.

We labeled VMAT with HMSiR and used our LLM-CT system to reconstruct VAMT locations. VMAT molecules along the MB lobes were classified into two groups: DPM positive (DPM+) and DPM negative (DPM-), based on the 3D digital intersection between VMAT and DPM (Fig. 6b, e, h; Supplementary Movie 5). Importantly, this classification could be accomplished only by using our LLM-CT method (Fig. 6b) and not by traditional Airyscan super-resolution confocal microscopy (Fig. 6c, f). To determine the imaging number of frames needed to map VMAT proteins (Supplementary Fig. 10; Supplementary Note 2), we determined theoretical resolution and localization density as discussed in Fig. 3. The reliability of DPM+ VMAT localization was validated by targeting VMATRNAi expression to DPM neurons, which reduced the total number of VMAT molecules in DPM+ neurites but not in DPM- regions of MB lobes (Fig. 6d, g, i; Methods).

DPM neurites completely engulf both the vertical and horizontal lobes (axonal outputs) of the MBs33 but activity in the vertical lobes appears to sub serve behavioral responses after a few sessions of olfactory classical conditioning34. Furthermore, MB output neurons exhibit learning-gene dependent tuning plasticity35 and synthesize new proteins during long-term memory formation36,37. We hypothesized that VMAT in a DPM neuron might be distributed differentially to modulate functional differences among MB sectors. Accordingly, we manually segmented DPM neurites into 15 MB sectors: α1, α2, α3, α′1, α′2, α′3, β1, β2, β′1, β′2, and γ1-γ5, based on the pattern of input innervations from dopaminergic neurons (Supplementary Fig. 11; Methods). With quantitative single-molecule localization by LLM-CT, we found that VMAT proteins distribute unevenly within a DPM neuron and their density in each MB sector is highly variable among different flies (Fig. 6j, k). The plasticity of VMAT distribution we observe here may account for the translation of transient MB activity into long-term memory coding at the MB outputs neurons.

Recently, a combination of expansion microscopy and lattice lightsheet microscopy (ExLLSM) has achieved also nanometric resolution in the adult fly brain38. For direct comparison between LLM-CT and ExLLSM, we replicated the optical setup in ExLLSM38 and imaged VMAT expression in the DPM neuron within a 4x expanded fly brain with lattice lightsheet microscopy13 and compare the result with our data in Fig. 6 (Supplementary Fig. 12). While LLM-CT and ExLLSM both produced high quality images, each has its advantage and limitation (Supplementary Table 2). Though acquisition time only a few more hours than LLM-CT, ExLLSM required to image ~25,000 sub-volumes to cover the expanded fly brain. To record thousands of sub-volumes and process multiterabyte data, customized algorithms to minimize discontinuities between boundaries are required in the lattice lightsheet system38. In contrast, LLM-CT imaged the entire brain with only 4 sub-volumes and post-processing using ThunderSTROM could reconstruct the entire brain within a day. For quantitative analysis of protein distribution, LLM-CT using standard immunostaining protocol is preferable (Fig. 6f, h). In ExLLSM, at equivalent high resolution (see Supplementary Table 2), the quality of fluorescent signal in expanded hydrogel is too capricious for quantitative analysis of protein molecules (Supplementary Fig. 12h, i). Finally, LLM-CT exhibits better single-molecule sensitivity than ExLLSM since the latter method suffers from poor detection of signals with a wide intensity distribution (also demonstrated in Fig. 4c).

## Discussion

By combining lightsheet, tissue clearing and spontaneously blinking fluorophores, our LLM-CT method offers a powerful imaging tool for resolving nanoscale 3D structures in an intact adult fly brain. With high-speed localization of single molecules and high-dynamic-range detection of fluorescence, LLM-CT enables high quality images for quantitative investigation of most, if not all, biological processes within or between subjects in details (Methods and Supplementary Tables 1 and 3).

A caveat of using Bessel beam to cover a large sample is the unwanted background induced by the concentric sidelobe. To minimize the deterioration of signal contrast, we used a weak astigmatism and excluded signals with asymmetric PSF during post-acquisition data processing5 (Figs. 5 and 6; Supplementary Note 1; Supplementary Figs. 8 and 9). Alternatively, we can use two-photon Bessel beam to directly reduce the background39 in the future (see also Supplementary Figs. 13 and 14).

Another way to improve resolution is using a clearing reagent with high refractive index. With such, the overlap of signals should be reduced and an increase in localization density is expected (Supplementary Figs. 9 and 10). Several clearing reagents with high refractive index can effectively improve tissue transparency, such as FocusClear24 (used in CLARITY40), uDISCO41, SeeDB215, CUBIC42 and the recently developed FlyClear43. Notably, the properties of HMSiR, such as photons per blink and the population of open-forms, are largely affected by the tissue-clearing environment. For this study, we identified ScaleView-A2 (pH 7.4) as the only commercially ready clearing reagent compatible with HMSiR. Going forward, we will need new blinking fluorophores with properties matching diverse tissue clearing reagents and exhibited different emission wavelengths for improved resolution and multi-color imaging, respectively. We need also new algorithms and processing pipelines to improve further the throughput for ever-larger datasets (Supplementary Table 3).

In conclusion, our LLM-CT method provides neurobiologists with a new tool to study nanoscale structures in an intact adult fly brain with less sample perturbation. The high throughput of this process allows for more efficient and reliable statistical analyses over a large number of samples. Our method can be applied to biological studies investigating 3D subcellular morphologies and protein densities in mm-scale samples. Applying this imaging technique to larger tissue, such as whole mouse brains, may become possible in the future.

## Methods

### Microscope optics and image acquisition

The schematic of the optical system is shown in Fig. 1a. The beam from a laser combiner equipped with 488 nm (Coherent OBIS 488 nm LS 150 mW), 561 nm (Coherent OBIS 561 nm LS 150 mW), and 637 nm (Coherent OBIS 637 nm LX 140 mW) lasers is expanded to 1/e2 diameter of 3 mm by two lenses (7.5 mm FL/5 mm dia (L1, L3, and L5), Thorlabs, AC050-008-A-ML; 30 mm FL/12.5 mm dia (L2, L4, and L6) Thorlabs, AC127-030-A), and each laser is combined with a mirror (Thorlabs, BB1-E02-10 - Ø1” Broadband Dielectric Mirror, 400–750 nm) and two dielectric filters (Semrock, Dichroic Filter (DF): DF1 = LM01-503-25; DF2 = Di03-R561-t1-25 × 36). The expanded laser beam uses an acousto-optic tunable filter (AOTF; AOTFnC-400.650-TN, AA Quanta Tech, Optoelectronic) to control the exposure time and wavelength selection. The laser beam passing through the AOTF is expanded to a 1/e2 diameter of 5 mm using a beam expander (Thorlabs, AC254-100-A (L7) and AC254-150-A (L8) Ø1″ Achromat, 400–750 nm) to ensure an even Gaussian intensity distribution over the annular ring pattern on the customized aluminum coating11 (thickness of 1,500 angstroms) as shown in Supplementary Fig. 2a. In the setup of using an axicon for generating a Bessel beam, an additional laser expander (Thorlabs, AC254-50-A (L9) and AC254-200-A (L10) Ø1″ Achromat, 400–750 nm) is used to expand the 1/e2 diameter of the beam to 20 mm. The axicon (Thorlabs, AX251-A) is placed with an achromatic lens (Thorlabs, AC254-200-A (L11)) to focus the annular pattern onto the quartz mask. A relay lens pair (Thorlabs, AC254-125-A (L12), AC254-100-A (L13), Ø1″ Achromat, 400–750 nm) was used to conjugate the ring pattern, created on the mask, to a set of galvanometer scanners (6215H, Cambridge Technology) which are composed of a pair of achromatic lenses (Thorlabs, AC254-100-A (L14 and L15), Ø1” Achromat, 400–750 nm), aligned in a 4f arrangement. After passing through the scanning mirror set, the ring pattern is magnified through a relay lens (Thorlabs, AC254-125-A (L16) and AC254-400-A (L17) Ø1” Achromat, 400–750 nm) and conjugated to the back focal plane of the excitation objective (Special Optics, 0.66 NA, 3.74 mm WD, customized objective, N.A. = 0.5, working distance = 12.8 mm; NARLabs, TIRI, Taiwan; for imaging in ScaleView-A2). The annular pattern is projected to the rear focal plane of the excitation objective and forms a self-reconstructive Bessel beam by optical interference. The energy of the beam is confined within the illumination plane while maintaining a sufficiently long propagation length. By positioning the appropriate annulus on the mask, the effective NA was chosen to create a Bessel beam with an axial full-width-at-half-maximum (FWHM) length comparable to the thickness of the specimen. In the inset of Supplementary Fig 2b, a water dipping objective lens (Nikon, CFI Apo LWD 25XW, 1.1 NA, 2 mm WD for imaging in PBS, Olympus, XLPLN25XSVMP2, 25X, 1.05 NA for imaging in ScaleView-A2), orthogonal to the illumination plane and mounted on a piezo scanner (Physik Instrumente, P-725.4CD PIFOC), used to collect the fluorescence signal, which then passes an emission filter (Semrock Filter: LP02-638RU) onto a scientific complementary metal-oxide-semiconductor (sCMOS) camera (Hamamatsu, Orca Flash 4.0 v3 sCOMS) by a 500 mm tube lens (Edmund 49-290, 500 mm FL/50 mm diameter; Tube Lens). A weak astigmatism, used for sub-diffraction imaging in the axial direction, was introduced by inserting a pair of cylindrical lenses (Thorlabs, LK1002RM-A, LJ1516RM-A) between the tube lens and camera.

Although it is reported that HMSiR probe can be excited with very low power density (40 W/cm2), we found it reasonable to increase the power density to 0.1 kW/cm2 to increase the photon count per localization event to reduce the localization uncertainty17. The power density is estimated by dividing the power measured at the back aperture of the excitation objective to the area scanned by the Bessel beam of specified length. In the optical setup using an annular mask (outer NA = 0.26, inner NA = 0.185 formed in the excitation objective), a Bessel beam with an axial FWHM of 50 μm is generated (Supplementary Figs. 2a, 3g, h. The maximum power measured at the back aperture of the excitation objective is merely 3 mW due to losses within the system and requiring a power density of 0.12 kW/cm2 to cover a subarea along the projection neuron (2500 μm2). Although this setup is flexible to vary the beam length using different annular masks, the power loss caused by the mask hinders its applicability to a larger field of view. With the axicon lens combined with an achromatic lens to concentrate the laser energy into a ring pattern, we were able to focus the laser energy on the annular ring mask. The unwanted components were sequentially filtered using an annular ring mask (outer NA = 0.187, inner NA = 0.174 formed in the excitation objective) (Fig. 1, Supplementary Figs. 1 and 3). The length of the lightsheet generated by the axicon lens can be extended over 200 μm to cover the entire cross-section of the fruit fly brain. The power measured at the back aperture is increased to 20 mW, and the power density can thus be maintained at about 0.10 kW/cm2 while extending the image area to 20,000 μm2 (Fig. 2a).

### Simulation of lens-axicon combination for Bessel beam generation

The field distribution of the Gaussian beam E(x, z) at the input side of the lens-axicon combination is similar to $${\mathrm{exp}}[(ik_0/2R_{\mathrm{F}} - {\mathrm{1/}}w^2)(x^2 + z^2)]$$, where k0 is the propagation constant in the air; RF is the radius of curvature for the wave front of the beam, and w is the beam width. The FWHM width of the Gaussian beam, FWHMG, is related to w as $${\mathrm{FWHM}}_{\mathrm{G}} = \sqrt {2{\mathrm{ln}}(2)} w$$. After passing through the lens-axicon combination, the Gaussian beam gains an extra phase $$\Phi = - k_0[(x^2 + z^2){\mathrm{/2}}F{\mathrm{ + (}}n - {\mathrm{1)}}\alpha \sqrt {x^2 + z^2} ]$$, where F is the focal length of lens; n is the refractive index of axicon, and α is the angle of the axicon. The phase Φ is responsible for the beam focusing and formation of the ring pattern. As the beam further propagates, its Gaussian profile is gradually converted into a donut shape (ring pattern). The image distance q of the focused ring pattern after the lens-axicon combination can be estimated using the lens law $$\left({F^{ - 1} = R_{\mathrm{F}}^{ - 1} + q^{ - 1}} \right)$$. The sharpest ring pattern occurs around the image plane at y = q and has an average radius R0 of about α(n − 1)q. The evolution of the ring pattern near the image plane is simulated based on Fourier optics under paraxial approximation. We used the fast Fourier transformation (FFT) to obtain the transverse beam profiles (on the xz plane) at successive propagation distances, y around q, and observed the focusing and defocusing of the ring pattern. The ring pattern obtained at the image plane is then numerically truncated by an indicator function which mimics the ring aperture. This aperture defines the borders of the ring image for the generation of Bessel beam. The truncated pattern is then numerically magnified along the xz plane by 1.6 times to model the expansion of the transverse profile after the 4f configuration. This profile is then fed into another series of FFTs which simulates the formation of Bessel beam around the focal point of the final objective lens, and then immersed into a liquid with a slightly higher refractive index (1.38) than that of water (1.33).

### PSF measurement

As depicted in Supplementary Fig. 3a, the PSF was recorded by imaging fluorescent beads (Thermo Fisher, F8807) immobilized on the surface of a coverslip with Poly-L-Lysine coating (Sigma, P4707). The total scanning range of the lightsheet for PSF recording is 10 μm with a z-step size of 100 nm. The axial profile of the Beesel beam presented in Supplementary Fig. 3b was acquired by imaging the fluorescence of Alexa Fluor 647 (Thermo Fisher, A30679) dissolved in PBS and ScaleView-A2. For the generation of the astigmatism defocusing model used in the super-resolution reconstruction, a cylindrical lens pair, as described in the methods, was inserted between the tube lens and camera. The step size was set as 20 nm for the fitting when using the defocusing model.

### Fly brain mounting

The samples were loaded on a 5-mm round, glass coverslips (Warner Instruments) in 100 nL of Cell-TakTM (Corning®). During the image acquisition, the samples and both objectives were immersed in a chamber to maintain optical clarity. All experiments were conducted at room temperature.

### Fly stocks

Fly stocks were raised on cornmeal food at a temperature of 25 °C and a relative humidity of 70% under a 12-h light/dark cycle. The following fly lines were used in the current study: Fruitless-Gal4 (66696, Bloomington Drosophila Stock Center) was used to label the neck neurons, MZ19-Gal4 (34497, Bloomington Drosophila Stock Center) for the olfactory projection neurons, 12862-Gal4 (111501, DGRC) for the giant fiber neurons, TH-Gal4 (8848, Bloomington Drosophila Stock Center) for the dopaminergic neurons, VT64246-Gal4 (v204311, VDRC) for the DPM neurons, UAS-mCD8::GFP (5137 and 5310, Bloomington Drosophila Stock Center) and UAS-GCaMP6f (42747, Bloomington Drosophila Stock Center) were used as the reporters of Gal4 expression, UAS-Dscam[1.7]::GFP (From T. Lee, Howard Hughes Medical Institute, Ashburn, VA) was used to label Dscam in the Gal4-labeled neurons, and UAS-VMAT RNAi (v104072 and v4856, VDRC) was used to assess the downregulation of VMAT protein expression in the DPM neurons.

### Immunohistochemistry

Fly brains were dissected in PBS (pH, 7.2) and immediately transferred to a microwave-safe 24-well plate containing 4% paraformaldehyde prepared in PBS. The plate was placed on a shaker for 25 min. The fixed tissues were then permeabilized and blocked in PBS containing 2% Triton X-100 and 10% normal goat serum (NGS; Vector Laboratories, Burlingame, CA) at 4 °C overnight. Immunostaining was sequentially performed in PBS containing 1% Triton X-100 and 0.25% NGS using the following primary antibodies: mouse anti-Discs large antibodies (antibody 4F3; 1:20 dilution; Developmental Studies Hybridoma Bank, Iowa City, IA), rabbit anti-GFP antibodies (1:250 dilution; Thermo Fisher Scientific Inc, A11122), rabbit anti-VMAT (1:250 dilution), and secondary antibodies including either biotinylated goat anti-rabbit immunoglobulin G (IgG) (1:250 dilutions; Thermo Fisher Scientific Inc). The biotin-conjugated IgG were detected using Alexa Fluor 635-streptavidin (1:500 dilution; Thermo Fisher Scientific Inc) or HMSiR-streptavidin (1:1000 dilution). Each step was carried out over the course of 2 days, with extensive washes between the steps at room temperature (25 °C). The samples were then transferred to ScaleView-A2 for 2 h before imaging, or to FocusClear/DeepClear (CelExplorer. Labs Co.) immediately before imaging (Supplementary Fig. 15).

### HMSiR conjugates

For goat anti-rabbit labeling of HMSiR, we incubated 250 μg of goat anti-rabbit F(ab’)2 fragment (Jackson Immunoresearch, West Grove, PA) in 0.1 M sodium borate buffer at pH 8.5 with 0.8 μl of 10 mM HMSiR-N-hydroxy succinimide (NHS) (GORYO Chemical, Bunkyo-ku, Tokyo) in dimethyl sulfoxide (DMSO) at 37 °C for 30 min, after which the sample was incubated at 4 °C overnight. The conjugated antibody was then passed through a Desalt Z-25 column (emp Biotech GmbH, Berlin) to remove the unconjugated HMSiR-NHS, and the medium was replaced with PBS (pH 7.2). To label HMSiR with streptavidin, we incubated 125 μg of streptavidin (Sigma-Aldrich, St. Louis, MO) in 250 μl PBS at pH 7.2 with 0.8 μl of 10 mM HMSiR-NHS in DMSO, after which we utilized the same protocol as that used for antibody labeling. Concentrations were then measured at an absorbance of 280 nm, after which the HMSiR conjugates were stored at 4 °C until use.

### Localization image reconstruction

Localization images were reconstructed using ThunderSTORM22, an ImageJ plugin with an in-built macro for batch processing of large data. As schematically depicted in Supplementary Fig. 7, the data were initially transposed to a time-lapse series on a local workstation, after which they were transferred to remote Lustre storage and distributed to a three-node Torque cluster (Intel Xeon X5660 with 48 GB memory each, connected to Lustre storage). After a particle list was generated for each layer, the list was deposited into one of the clusters, after which a single list containing all localization events within the imaging volume was generated. The list was then used to render the reconstructed image for presentation and analysis. ThunderSTORM was used to perform drift correction using fiducial marker tracking or the cross-correlation method. For 3D volume rendering, the image stack was resampled to minimize discontinuities in structural integrity.

### Image rendering, segmentation, and quantification

Color-coded depth projections of 3D images were created via ImageJ. Blinking signal in Fig. 2d was rendered in Imaris (Bitplane). We further used the Volume Rendering tool in Avizo 9.4 (Thermo Fisher Scientific Inc) for 3D visualization of whole brain dopamine neurons (Fig. 5). For single neuron segmentation, as depicted in Fig. 5, we used the Brush tool in the segmentation mode of Avizo 9.4 (Thermo Fisher Scientific Inc) to manually select the boundary of each single neuron to generate a single neuron boundary mask. We further used the arithmetic tool to intersect the original data with the manually segmented single neuron mask to generate single neuron images with the original gray scale. In Figs. 5d and 6, we used the Material Statistics module in Avizo 9.4 (Thermo Fisher Scientific Inc) to quantify the volume of the MB sectors, DPM neurons, and VMAT protein expression. This module calculates the voxel numbers inside a labeled area, which can be transformed into volumes by multiplying with a known voxel size in each image. We manually segmented the boundaries of the MB sectors using the Lasso tool in segmentation mode. We used the Magic Wand tool to select one seed within the DPM neuron and to determine a reasonable threshold for selecting the connecting voxels. We directly used the Threshold tool for whole-volume VMAT images, setting the lower bound to 78 (8-bit; 0-255).

### Reporting summary

Further information on research design is available in the Nature Research Reporting Summary linked to this article.

## Data availability

The materials and the data that support the findings of this study are available from the corresponding author upon reasonable request. The source data underlying Figs. 2f, 3d–g, 6f Supplementary Figs. 10a, b are provided as a Source Data file.

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## Acknowledgements

The control software of the microscope is licensed by Howard Hughes Medical Institute, Janelia Farm Research Campus. We thank Professor Tim Tully for valuable suggestions. We thank the Vienna Drosophila Resource Center, Drosophila Genetic Resource Consortium, and Bloomington Stock Center for the fly stocks. We thank David Krantz for sharing the rabbit-anti VMAT antibody. This work was supported by grants from the Ministry of Science and Technology and Ministry of Education of Taiwan for L.A.C. (MOST 106-2321-B-007-008-MY3), A.S.C. (Supported by the Higher Education Sprout Project funded by the Ministry of Science and Technology and Ministry of Education in Taiwan) and B.C.C. (MOST 107-3017-F-007-004, MOST 103-2113-M-001-003-MY2, MOST 108-3114-Y-001-002, MOST 107-0210-01-19-01 and Career Development Award and AS-SUMMIT-108 of the Academia Sinica).

## Author information

L.-A.C. and C.-H.L. planned and performed the imaging experiments and image processing. L.-A.C. performed the immunostaining experiments. L.-A.C., C.-H.L., Y.-T.L., and B.-C.C. designed and constructed the LLM-CT. S.-M.Y. produced the HMSiR conjugates. Y.-T.L. designed the automated blinking image processing protocol and software. K.-L.F. and L.-A.C. performed the VMAT experiments. L.-A.C., C.-H.L., and Y.-C.T. performed the image analysis. W.-K C. performed the graphic design and system maintenance. L.A.C. and W.-C.W. performed data visualization. S.-W.C. performed the simulation. P.C., Y.-K.H., T.-K.L., A.-S.C., and B.-C.C. planned and managed the project. L.-A.C., C.-H.L., B.-C.C., and A.-S.C. wrote the paper.

Correspondence to Ann-Shyn Chiang or Bi-Chang Chen.

## Ethics declarations

### Competing interests

The authors declare no competing interests.

Peer review information Nature Communications thanks Erin Diel and the other anonymous reviewer(s) for their contribution to the peer review of this work. Peer reviewer reports are available.

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Chu, L., Lu, C., Yang, S. et al. Rapid single-wavelength lightsheet localization microscopy for clarified tissue. Nat Commun 10, 4762 (2019) doi:10.1038/s41467-019-12715-3