Near index matching enables solid diffractive optical element fabrication via additive manufacturing

Diffractive optical elements (DOEs) have a wide range of applications in optics and photonics, thanks to their capability to perform complex wavefront shaping in a compact form. However, widespread applicability of DOEs is still limited, because existing fabrication methods are cumbersome and expensive. Here, we present a simple and cost-effective fabrication approach for solid, high-performance DOEs. The method is based on conjugating two nearly refractive index-matched solidifiable transparent materials. The index matching allows for extreme scaling up of the elements in the axial dimension, which enables simple fabrication of a template using commercially available 3D printing at tens-of-micrometer resolution. We demonstrated the approach by fabricating and using DOEs serving as microlens arrays, vortex plates, including for highly sensitive applications such as vector beam generation and super-resolution microscopy using MINSTED, and phase-masks for three-dimensional single-molecule localization microscopy. Beyond the advantage of making DOEs widely accessible by drastically simplifying their production, the method also overcomes difficulties faced by existing methods in fabricating highly complex elements, such as high-order vortex plates, and spectrum-encoding phase masks for microscopy.


Introduction
Diffractive optical elements (DOEs) enable highly complex shaping of light by a single, compact, optical component.This capability makes DOEs attractive in a variety of applications 1 , including aberration correction 2 , augmented reality 3 , imaging systems 4,5 , solar energy 6 , sensitive microscopy [7][8][9] and more 10,11 .Despite their advantages, fabrication of DOEs can be extremely challenging as high-quality light-shaping entails fabrication with sub-wavelength precision.Complicated DOEs often consist of topology at the tens-of-nanometer resolution, which typically necessitates fabrication methods that are expensive, time-consuming, and require special infrastructure 1,12 , e.g.photolithography or direct machining methods.Moreover, fabrication of highly-complex elements by binary photolithography is fundamentally limited due to per-step accumulated error and practically-bounded number of possible etching steps; grayscale-photolithography, which overcomes some of these limitations, is typically complicated by high sensitivity to material and process parameters and the requirement for complex illumination or scanning 1,13 .
Additive manufacturing (AM) is a versatile and efficient fabrication method that offers quick fabrication times and cost-effective production for intricate components 14 .In addition, the AM process is relatively robust to the geometric complexity of the manufactured parts.Although AM has recently showed promising results in printing optical components [15][16][17][18][19] , outstanding limitations that restrict widespread usability of AM for optical fabrication still exist.These limitations relate to surface quality, uniformity of the optical properties e.g., refractive index, transparency and a fundamental tradeoff between precision, component size and fabrication duration.Recent work has demonstrated that the concept of index-matching can be used to overcome the stringent fabrication constraints associated with traditional DOE fabrication, while maintaining high performance and functionality 20 .In this demonstration, a 3D printing-based polymer template was placed inside a nearly indexmatched liquid bath; However, immersing the DOE in a liquid limits its wide applicability as an element to be integrated into any optical system.
Here we present a fast and simple method to fabricate fully solid DOEs utilizing several key advantages that AM offers to DOEs fabrication, mainly, high flexibility in design, availability, and low resource cost, compared to existing DOE fabrication methods.Our method uses commercially available AM to fabricate high-quality DOE reducing cost and fabrication time by orders of magnitude.This is done by conjugating two near-index matched materials, effectively scaling up the critical dimension of the DOE from the nano to the micro scale and correspondingly increasing tolerance for fabrication error.In this concept, the requirement for fabrication precision is traded for precision in the refractive index of the materials, which is relatively easy to obtain at the relevant scales.We demonstrate the usefulness and versatility of our method by fabricating and using DOEs from a variety of optical fields, including: a Fresnel microlens array, phase masks for 3D superresolution microscopy, encoding axial 7 and spectral 21 information of fluorescence sources, and spiral phase plates (SPP) generating vector beams with different topological charges 22 , including their application in MINSTED nanoscopy 8 .

Results
A DOE can be regarded as 2.5D pixelated surface, where the height of each pixel corresponds to the thickness of the transparent material.The wavefront shaping effect of the DOE can be described by the accumulated phase of light propagating through a pixel, given by: where Δϕ ði;jÞ is the accumulated phase in pixel (i,j), λ is the wavelength, h i;j ð Þ is the height of pixel (i,j), and Δn ¼ n DOE À n env ð Þ , where n DOE ; n env are the refractive indices of the DOE material and the environment surrounding it, respectively.Typically, DOEs are made of high-quality glass or polymer 23,24 with refractive index of n DOE % 1:5, and are used in an air-filled environment such that n env ¼ 1, therefore Δn is around 0.5.Under these circumstances, typical DOEs span a thickness range of a few micrometers at most, and require precision on the order of tens of nanometers.
Here, we scale up the axial DOE dimension by 2-3 orders of magnitude, by reducing the Δn drastically from ~0.5 to 0:001 Δn 0:007.This is done by conjugating two near-index matched materials, containing the desired DOE profile in the interface between them, as described below.
The first step of our fabrication process is to print a micro-scale template using commercially available AM. Next, we convert the DOE profile to a first transparent layer by casting the first polymer on the template and polymerizing it.After extracting the template, a glass is attached to the flat side of the first layer using plasma treatment.The final step is to cast the second polymer above the transparent profile of the first layer, attach a second glass above it and polymerize it, to ensure the flatness of the DOE in the interface with air (Fig. 1).More details about the 3D printing technique, the fabrication method and the materials can be found in methods and Supplementary Information section (Supplementary Note 7).
To demonstrate the versatility of the fabrication method, we produced and applied various DOEs.
First, we fabricated a Fresnel micro-lens array (MLA) with a high fill factor (100%) 25 .Micro lens arrays are used in a wide range of applications, from sensing to solar energy and microfluidics for focusing, imaging, and beam-shaping 26,27 .Here, we fabricated a 3 × 3 MLA made of Fresnel square lenses, each 2 mm × 2 mm in size which focuses an incident Gaussian beam to an array of spots.The obtainable spot size is 340 μm (90-100 pixels), which is close to diffraction-limited for this geometry (2 λf d $ 320 μm; where; λ ¼ 640 nm; f ¼ 500 mm; d ¼ 2 mm) (Fig. 2).Camera (Pixelink, PL-D7512MU-T) pixel size is 3.45 μm.In addition, we imaged two symbols, a star and our lab's NBO (nano-bio-optics) acronym, displayed on a cellphone screen and captured with the Pixelink camera through the MLA (Fig. 2e, f).
Next, we demonstrated the fabrication and application of spiral phase plates (SPPs).A SPP modifies the phase profile of an incident Gaussian beam by adding a phase shift that varies linearly with the azimuthal angle around the center of the plate, resulting in a spiral phase pattern.The SPPs can be used to create 'donut' shaped illumination, i.e. a ring of azimuthally uniform intensity with a dark spot in the center.The ring diameter and the corresponding size of the dark spot are determined by the topological charge of the SPP (m), which corresponds to the number of phase cycles in a complete turn around the element center.Controlling the topological charge using our method is obtained relatively simply, by adjusting the polymer parameters (changing Δn) for a given wavelength.
Importantly, our method enabled us to easily produce high-order SPPs, which are difficult to obtain using existing fabrication methods; by exploiting phase wrapping in a 'pizza'-like pattern (Fig. 3a) we demonstrated SPPs with topological charges of m = 8 (Fig. 3b) and m = 16 (Fig. S1).The topological charge was measured using a cylindrical lens-based method 28 (Fig. 3b).
We demonstrated the generation and characterization of vector field singularities (V-points) using SPPs fabricated by our method.Vector beams are widely used for both fundamental and applied studies, for applications including trapping and manipulation of micro-particles, super-resolved imaging, laser materials processing, as well as classical and quantum optical communication 29 .This motivated us to realize such beams by using our fabricated SPPs.
V-points are the isolated, stationary points in a spatially varying linearly polarized field where the orientation of the electric field vector is undefined.They are characterized by a topological parameter, namely the Poincare-Hopf index η ¼ 1 2π H ∇γ Á dl, where γ is the azimuth of the polarization ellipse.Radial and azimuthal polarizations are examples of first-order V points with η = 1.These singularities can be generated by the superposition of equal and opposite orbital angular momentum states in orthogonal circular polarization basis.The expression for V-point singularities in circular basis is: Here, A 1 and A 2 are the amplitude scaling factors, m is the topological charge of the vortex beam.The parameters φ and θ 0 correspond to azimuthal phase and relative phase difference between the orthogonal components respectively.The right and left circular unit basis vectors are represented by êR and êL respectively.
We experimentally realized V-points by using a modified Mach-Zehnder type interferometer (Fig. 3c).A spatially filtered collimated 45 degree linearly polarized beam was divided into equal intensities of x and y-polarized light by a polarizing beam splitter.This was approximated as plane beams that were converted into helical beams by using a SPP, combined by a beam splitter.A quarter waveplate at 45 degrees was used to transform these x and y-polarized helical beams into right and left circularly polarized vortex beams respectively.Various vector beams can be realized by appropriately selecting the topological charge (m) of the spiral phase plates.The quarter waveplate and polarizer before the lens were used to measure different intensities, from which the Stokes parameters and the desired polarization distributions were extracted (Fig. S2).
Next, we demonstrated the applicability of 3D-printed elements in highly demanding scenarios, requiring particularly high photon efficiency.We first applied our SPP inside a STED 30,31

MICRO-scale DOE
Fig. 1 Fabrication method.An illustration of the main steps of the fabrication process of the near index matched solids DOE.A 3D template is printed using commercially available 3D printing (two different techniques were used in this work, photopolymerization and nano particle jetting, with axial resolution of ~25 μm).The template is converted to a first transparent layer using a first polymer.Next, the first transparent layer is extracted from the template and a second polymer is polymerized above the first layer for achieving the final solid DOE commercial lithographically fabricated SPPs.Recent advances have propelled STED imaging to the single-digit nm scale, with the advent of a concept called MINS-TED 8,32 .MINSTED operates on single fluorophores and achieves their efficient localization with a photondetection-guided targeting that continually decreases the FWHM of the so-called effective point spread function (E-PSF) resulting from the STED process and re-centers it towards the most probable position of the targeted molecule 8 .The high-resolution performance of all STED methods crucially relies on the production of a focal pattern of the STED light featuring a "zero" (minimal) intensity point (Fig. 4a).Incorporating a single SPP for ~630 nm operation into a recently reported MINSTED nanoscopy instrument 32 , we performed recordings of single fluorophores, model structures and protein distributions in mitochondria of human cells with an excitation wavelength of 560 nm and a STED wavelength of 636 nm, at a repetition rate of 40 MHz.The fluorescence switching to yield individual fluorophores for localization was implemented by means of DNA-PAINT 33 as done previously 32 .The obtained resolution characterization data on individual molecules (Fig. 4b) clearly support a residual intensity in the zero point of <1% of that at the donut crest, i.e. on par with the best phase masks utilized for this purpose.The mask operates within the MINSTED setup at leading-edge performance levels, enabling sub-1-nm median localization precision (Fig. 4d) for DNA origami model structures and in cellular nanoscopy of mitochondrial proteins (Fig. 4c, e, f).
Next, we fabricated several DOEs for point spread function (PSF) engineering 7,9 and demonstrated their applicability in single-molecule 3D localization microscopy.In PSF engineering, the emission path of a standard microscope is expanded using a 4f system, and a DOE, namely, a phase mask, is placed in the Fourier plane.This enables the encoding of useful information such as depth or color in the shape of the PSF 7,21 .The double helix (DH) PSF 9 , for example, encodes the depth of a point source by generating a PSF containing two lobes that rotate as a function of the emitter's axial position (Fig. 5a).We used a DH mask, fabricated using our method, to perform 3D DH super-resolution imaging 34 of cell membrane topography of Jurkat T cells using resPAINT, for quantification of microvilli (finger-like protrusions) prevalence as well as determination of their size distribution 35 .The optical performance of the phase mask and resulting resolution of the reconstructed image is similar to the state of the art in the field obtained using a lithographically fabricated element 35 (Fig. 5, SI Note 10).
Finally, we show that beyond our method's advantage in drastically simplifying DOE production, it can produce DOEs with extremely complex architectures, including large height ranges and challenging aspect ratios.Such an example is a multicolor Tetrapod phase mask; this phase mask encodes both the depth (over a ~3.5 µm range) and the color (green and red) of fluorescence emitters, in the shapes and the orientations of their PSFs, respectively 21 (Fig. 6b).This mask alleviates the need for spectral channel-splitting, since imaging is done on a single optical channel, and spectral separation is achieved by image analysis.Such simultaneous depth and color encoding has only been demonstrated in the past using a liquid crystal spatial light modulator (SLM); 21 this is due to the  680 nm), color and depth-encoded by the mask, on a single optical channel.Figure 6e shows the 3D reconstructions of two 500-frame trajectories (Fig. 6c-e).For demonstrating the applicability of our multi-color mask under challenging single-molecule level SNR conditions, we performed 3D stochastic optical reconstruction microscopy (STORM) 37 to reconstruct the mitochondria structure.In this experiment, we labeled African green monkey kidney fibroblast-like (COS7) cells with the mitochondria-binding antibody TOM20, directly conjugated to Alexa Fluor 647.The sample was illuminated with a 640 nm laser and a video containing frames of blinking fluorescent molecules was acquired.The reconstruction, namely 3D single-molecule localization was done by Deep-STORM3D 38 (Fig. 6g, Supplementary Movie 1).Imaging over a range of 4 microns clearly shows the hollow structure of the mitochondria at super resolution (Fig. 6g dashed zoomed-in).The performance is comparable to recent work employing lithographic masks or a deformable mirror 38,39 , while, notably in this case, we used a multi-color phase mask.Finally, to demonstrate the ability to image both red and green single fluorescent molecules simultaneously, we attached anti-mouse-AF488 and anti-mouse-AF647 antibodies to a poly-lysine coated coverslip and imaged them by simultaneously illuminating the sample with 488 nm and 640 nm lasers (Fig. 6f).

Discussion
We demonstrate a simple and affordable method to fabricate high-quality solid DOEs using commercially available additive manufacturing combined with near indexmatching.The process uses templates that can be fabricated at an easily obtainable resolution of tens of micrometers and achieves phase modulation equivalent to DOEs fabricated at a resolution which is orders of magnitudes higher.The process trades-off the nanoscale fabrication precision requirements with refractive index precision on the order of 4th digit; the latter is typically easier to obtain.
In the context of computational imaging, where imaging systems are being co-designed alongside analysis algorithms, efforts are already being made on the software side to enable democratization of such methods; 40 the current work constitutes an important step towards increasing the availability of computational imaging methods from the hardware-side, specifically DOE, which has been typically a bottleneck.Fabrication cost of a DOE using this method is in the range of tens of dollars, and currently takes ~2-3 days.We experimentally quantified key parameters of our optical components including surface roughness, material homogeneity, dispersion, surface accuracy and stability.
Future optimization of the method will focus on several aspects: One is cost effectiveness in the context of mass production.In this work, we focused on fabrication of single components, which is mostly relevant to prototyping.Scaling up to mass production can benefit from parallelization by printing templates containing multiple components.Furthermore, fabrication time can be accelerated by using printing materials that do not require a sintering step, which would also alleviate the need for high temperatures in the process.Finally, the polymerization time of the silicones can be shortened, e.g. by increasing the temperature during the polymerization process.
One limiting factor related to our choice of materials is that they (silicones) can be incompatible with highpower systems; This is not a problem in most imaging systems, however applications using high-power lasers, for example, would require finding more temperaturerobust material pairs.Another promising direction is the investigation of materials with different optical properties to serve as substrates for the DOE.The material-pairs used in this work exhibit very similar dispersion curves, therefore the DOEs display minimal material dispersion effects, relative to a single-material DOE in air.This feature is useful in applications where dispersion should be minimized, e.g.various optical communication schemes.However, dispersion can also be utilized in the future for wavelength-dependent applications.Similarly, pairs of materials exhibiting different polarization effects may pave the way to new polarization-utilizing schemes.

DOE fabrication Fabricating a microscale mold
A ceramic mold that contains the inverse pattern of the desired DOE and a supporting base, was printed via additive manufacturing (XJet Ltd., Carmel 1400, or Lithoz, CeraFab printer with ~25 µm resolution).See surface scan in Fig. S3.

Transferring the mold pattern for obtaining the first transparent layer
The ceramic mold was first coated with a thin layer of oil (WD40-silicone) to reduce adhesion.Next, the first polymer was prepared and degassed in a standard vacuum chamber (Tarson, 402020) for ~10 min to remove bubbles.The first polymer was then poured onto the lubricated mold and placed into the vacuum chamber to facilitate additional bubble removal.The first layer was allowed to cure for 24 h at room temperature on a leveled surface to ensure flatness.The polymerized first layer was then carefully separated from the ceramic mold, and the edges removed to achieve the desired size of the first layer.Then a brief oxygen plasma treatment (duration ~1 min, power ~7, Diener Electronic, Zepto W6) was done to the flat side of the first layer and to a high optical quality glass (Siegert Wafer, fused silica substrate, 35 × 35 mm 2 with a thickness of 500 μm), then the two components were attached and placed in an oven at 70 °C for 30 min for bonding.

Casting the second near index matched polymer
We placed the first layer on a flat surface with the desired DOE profile facing up.Next, we prepared the second polymer (with near index matched refractive index) and degassed the solution in a vacuum chamber.Next, we filled up the entire dent (surrounding the desired profile) that was created from the supporting base and again placed it in the vacuum chamber to facilitate additional bubble removal for few minutes.Finally, the liquid polymer was carefully closed with second high optical quality glass from above and allowed to fully polymerized for 24-48 h at room temperature.
(see figure on previous page) Fig. 6 Multicolor PSF-engineering DOE. a A heightmap of the multicolor DOE and corresponding phase patterns at 515 nm (top) and 680 nm (bottom).b Experimental images of fluorescent microspheres in two different colors at different axial positions using the same DOE.c Freely diffusing fluorescent microspheres in two different colors (emission peaks 515 nm and 680 nm).d An example frame with the localizations obtained by the neural-net marked with red and green triangles (left) overlay with neural-net reconstruction in purple (right).e The reconstructed 3D trajectories of the green and red fluorescent microspheres.f Single fluorophores in two colors (anti-mouse-AF488 and anti-mouse-AF647 antibodies) on a polylysine coated coverslip imaged simultaneously at two different axial positions.g Super-resolution STORM reconstruction of mitochondria in fixed COS7 cells labeled with anti-TOM20-AF647 antibody, dashed zoomed-in cross-section: an example of a hollow mitochondria structure.Scalebar b, d and f: 2 μm, g: 5 μm, dashed cross-section: 0.5 μm

Positioning the DOE in the optical system
Our element requires the same alignment procedure as standard DOEs for placing it in the desired plane of the optical system.For fine alignment, we attached a threaded adapter to the DOE (SM1S10, Thorlabs) with optical adhesive (NOA68T, Norland Products) and mounted it on a 6-axis kinematic optic mount (Thorlabs K6XS).

Single-molecule sample preparation
A clean cover glass was coated with poly-l-lysine by placing it in a 50 ml falcon containing 15 ml 0.01% poly-llysine solution (Sigma, P8920, diluted) for 10 min, then washing it twice with double distilled water and drying it in a chemical cabinet.An antibody solution was prepared by diluting anti-mouse-AF647 (Abcam, ab150115) and anti-mouse-AF488 (Abcam, ab150113) antibodies, 1:1000 and 1:100,000, respectively, in PBS.To attach the antibodies to the poly-l-lysine coated cover glass, we used a spin coater (Laurell) and apply 10 µl of the antibody solution onto the cover glass while spinning at 2500 rpm for 35 s.The cover glass was washed with 2 ml PBS and dried while spinning at 7000 rpm for 1 min.We then applied a Gene Frame sticker (Thermo Fisher, AB0576), filled it with 25 µl PBS and stack a cover glass on top.
For super-resolution imaging, a PDMS chamber (22 × 22 × 3 mm, with a 13 × 13 mm hole cut in the middle) was attached to the cover glass containing the fixed and stained COS7 cells to create a pool for the blinking buffer.Blinking buffer (50 mM Cysteamine hydrochloride (Sigma, M6500), 20% sodium lactate solution (Sigma, L1375), and 3% OxyFluor (Sigma, SAE0059) in PBS, pH 8-8.5) 41 was added and a cover glass was placed on top while ensuring minimal air bubbles.
For single molecule experiments we illuminated the sample with 640 nm and 488 nm lasers simultaneously up to 80 mW each (Toptica, iChrome MLE).For the STORM experiment we illuminated the sample with high power 640 nm laser ( ~50 kW/cm 2 at the sample plane) and filtered the emission light with an additional 650 nm longpass filter (Thorlabs, DMLP650).

Single-molecule and DNA origami sample preparation
Single molecules and DNA origami samples were prepared according to the protocol described in ref. 32 .

Single-molecule E-PSF measurements
Single-molecule samples were raster-scanned with different STED powers and fields of view adapted to the STED power.The obtained single-molecule signals were overlayed and the obtained PSF was fitted with a 2D Gaussian model to obtain the FWHM of the E-PSF at a given STED power.
The obtained data was processed as described previously 32 and rendered based on estimated localization precision.

resPAINT experiment Sample preparation for resPAINT imaging
Large DOF imaging using DHPSF was performed with resPAINT as described previously 35 .Briefly, Jurkat T cells were fixed using 1% PFA for 30 min on ice, followed by 2x washes in PBS.Half of these cells were coated with fiducial markers to make 'bead cells'.This was done by mixing 50 µl of fixed cells with 1 µl of 100 nM 200 nm Deep Red FluoSpheres (F8810, Thermo Fisher) to let them spontaneously attach for 5 min, followed by 3x washes with PBS to remove free beads.The remaining Jurkat T cells were labeled with 1 nM Cellmask Deep Red (C10046, Thermo Fisher) for 5 min to allow distinguishing unlabeled cells from bead cells, followed by washing 2x with PBS.
To prepare the imaging sample, 3 µl of bead cells and 3 µl of uncoated cells were deposited onto a poly-D-lysine (PDL)-coated #1.5 coverslip.After 10 min of attachment, 3 µl of 20% bovine serum albumin was added to block the PDL and to minimize unspecific binding of our PAINT label.After 5 min of blocking, 7 µl of PH 9.6 sodium carbonate-bicarbonate buffer and 1 µl of 20 nM WGA-HMSiR was added, after which the sample was sealed and ready for imaging.

ResPAINT imaging of apical T-cell surface
WGA-HMSiR was imaged on the apical surface of Jurkat T cells using a 1.35 NA silicone immersion objective lens with continuous 640 nm excitation ( ~6.8 kW/cm 2 ) in HiLo configuration.Autofocusing and DHPSF fitting are described in previous work 35 The DHPSF calibration was collected in steps of 60 nm, controlled by a piezo-objective stage, using ~100 nm nanoparticles extracted from Zebra Mildliner fluorescent markers attached to a #1.5 glass cover slip.3D renders were created using VISP 43 .

Fig. 2
Fig. 2 Micro lens array.a A 2D height map and b 3D illustration of the MLA.c the acquired image on the camera showing the spots focused by the MLA as well as the intensity plot of three spots.d The optical system used for MLA demonstration.e Depiction of the optical system used for the imaging experiment.f Imaging results: two example objects, "NBO LAB" and a star were projected from a cellphone screen through the MLA and two corresponding images were acquired

Fig. 3
Fig. 3 Spiral phase plates.a Experimental setup for measuring the topological charge (m) and the profile intensity of the SPPs.b Experimental results of imaging a Gaussian beam passing through spherical or cylindrical lenses (dashed and continuous lines) and SPPs with different topological charges; m = 1, 2, 8 from left to right respectively.c Experimental setup for generating vector field singularities.BE: Beam Expander; spatial filter assembly, P: Polarizer, M1, M2: mirrors, SPP: spiral phase plates, QWP: quarter-wave plate, PBS: polarizing beam splitter, BS: beam splitter, CCD: camera.d Experimental results showing the generation of vector field singularities; each row corresponds to a different set of experimentally measured intensity profiles generated with m = 1 and m = 2, respectively (right), and the theoretical distribution of the vector field (left), which is similar to the reconstructed distribution obtained from the experimental data (Fig. S2)

Fig. 4 MINSTED
Fig. 4 MINSTED fluorescence nanoscopy at ~1 nm localization precision.In both STED and MINSTED nanoscopy, a mask encoding a 0-2π phase ramp can be used to produce a doughnut-shaped focal pattern featuring a "zero" (minimal) intensity point in its center for fluorescence inhibition.a Principles of operation of STED and MINSTED imaging, featuring an effective point spread function (E-PSF) that can be tuned by the intensity in the STED inhibition pattern.b Full width at half-maximum (FWHM) of the E-PSF as a function of STED power (636 nm wavelength).The E-PSF was repeatedly measured with immobilized single Cy3B fluorophores.A power-law fit to the data is shown (dashed line).c MINSTED recording of localizations of TOM22, a protein in the outer mitochondrial membrane, in U-2 OS cells stained with primary and secondary antibodies.Rendering was performed by displaying each localization as a Gaussian with amplitude unity and a standard deviation matching its localization precision (including saturation for highly precise localizations).We denote this quantity as the cumulative normalized localization probability (CNLP) (d-f) Localizations of 3 × 3 DNA origami grids with 12 nm spacing between fluorophore binding sites.d Histogram of localization precision from singlemolecule trace analysis, indicating a median precision (st.dev.) of 0.6 nm.e, f Two examples of DNA origamis.Rendering was performed by displaying each localization as a Gaussian with a pixel-sum of unity and a standard deviation matching its localization precision (including saturation for highly precise localizations).The image thus encodes the localization probability per pixel (LP/pix.)Scale bars: 200 nm (c), 10 nm (e, f)

Fig. 5 44 zFig. 6 (
Fig. 5 3D super-resolution imaging of cell membrane topography using resPAINT with DH PSF. a DHPSF calibration for 100 nm fluorescent bead captured using 1.32 NA silicone oil objective.b Cartoon showing large DOF imaging of the apical surface of a Jurkat T Cell with resPAINT.c Representative frames of WGA-HMSiR binding to fixed Jurkat T cells (circle highlights cell) at 9.4 pH.d 3D super-resolution image of the apical surface of the cell membrane acquired using resPAINT and DHPSF.The image comprises ~300 k localizations, collected over 300 k frames with 30 ms exposure time.To highlight the topography of the cell membrane, we compared each data point to its local neighbors (200 nm radius shell) to quantify the curvature.This was done using principal component analysis, which is routinely used to classify point cloud data44 Cover glass cleaning for single molecule and STORM experiments 22 × 22 mm, 170 µm cover glasses (Deckgläser, No.1.5H)were cleaned in an ultrasonic bath with 5% Contrad 70 (Decon) at 60 °C for 30 min, then washed twice with double distilled water (incubated shaking for 10 min each time), incubated shaking in ethanol absolute for 30 min, sterilized with filtered 70% ethanol for 30 min and dried in a biological cabinet.
instrument, and demonstrate superresolution microscopy at performance equivalent to