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Super-resolution microscopy is a series of techniques in optical
microscopy Microscopy is the technical field of using microscopes to view objects and areas of objects that cannot be seen with the naked eye (objects that are not within the resolution range of the normal eye). There are three well-known branches of mi ...
that allow such images to have resolutions higher than those imposed by the
diffraction limit The resolution of an optical imaging system a microscope, telescope, or camera can be limited by factors such as imperfections in the lenses or misalignment. However, there is a principal limit to the resolution of any optical system, due to t ...
, which is due to the diffraction of light. Super-resolution imaging techniques rely on the
near-field Near field may refer to: * Near-field (mathematics), an algebraic structure * Near-field region, part of an electromagnetic field * Near field (electromagnetism) ** Magnetoquasistatic field, the magnetic component of the electromagnetic near f ...
(photon-tunneling microscopy as well as those that utilize the Pendry Superlens and near field scanning optical microscopy) or on the far-field. Among techniques that rely on the latter are those that improve the resolution only modestly (up to about a factor of two) beyond the diffraction-limit, such as
confocal microscopy Confocal microscopy, most frequently confocal laser scanning microscopy (CLSM) or laser confocal scanning microscopy (LCSM), is an optical imaging technique for increasing optical resolution and contrast of a micrograph by means of using a s ...
with closed pinhole or aided by computational methods such as deconvolution or detector-based pixel reassignment (e.g. re-scan microscopy, pixel reassignment), the
4Pi microscope A 4Pi microscope is a laser scanning fluorescence microscope with an improved optical axis, axial Optical resolution, resolution. With it the typical range of the axial resolution of 500–700 nm can be improved to 100–150 nm, which corr ...
, and structured-illumination microscopy technologies such as SIM and SMI. There are two major groups of methods for super-resolution microscopy in the far-field that can improve the resolution by a much larger factor: # Deterministic super-resolution: the most commonly used emitters in biological microscopy, fluorophores, show a nonlinear response to excitation, which can be exploited to enhance resolution. Such methods include STED, GSD,
RESOLFT RESOLFT, an acronym for REversible Saturable OpticaL Fluorescence Transitions, denotes a group of optical fluorescence microscopy techniques with very high resolution. Using standard far field visible light optics a resolution far below the diffrac ...
and SSIM. # Stochastic super-resolution: the chemical complexity of many molecular light sources gives them a complex temporal behavior, which can be used to make several nearby fluorophores emit light at separate times and thereby become resolvable in time. These methods include Super-resolution optical fluctuation imaging (SOFI) and all single-molecule localization methods (SMLM), such as SPDM, SPDMphymod,
PALM Palm most commonly refers to: * Palm of the hand, the central region of the front of the hand * Palm plants, of family Arecaceae ** List of Arecaceae genera * Several other plants known as "palm" Palm or Palms may also refer to: Music * Palm (b ...
, FPALM, STORM, and dSTORM. On 8 October 2014, the
Nobel Prize in Chemistry ) , image = Nobel Prize.png , alt = A golden medallion with an embossed image of a bearded man facing left in profile. To the left of the man is the text "ALFR•" then "NOBEL", and on the right, the text (smaller) "NAT•" then "M ...
was awarded to Eric Betzig,
W.E. Moerner William Esco Moerner (born June 24, 1953) is an American physical chemist and chemical physicist with current work in the biophysics and imaging of single molecules. He is credited with achieving the first optical detection and spectroscopy of a ...
and
Stefan Hell Stefan Walter Hell HonFRMS (: born 23 December 1962) is a Romanian-German physicist and one of the directors of the Max Planck Institute for Biophysical Chemistry in Göttingen, Germany. He received the Nobel Prize in Chemistry in 2014 "for the ...
for "the development of super-resolved
fluorescence microscopy A fluorescence microscope is an optical microscope that uses fluorescence instead of, or in addition to, scattering, reflection, and attenuation or absorption, to study the properties of organic or inorganic substances. "Fluorescence micr ...
", which brings "
optical microscopy Optics is the branch of physics that studies the behaviour and properties of light, including its interactions with matter and the construction of instruments that use or detect it. Optics usually describes the behaviour of visible, ultraviol ...
into the nanodimension". The different modalities of super-resolution microscopy are increasingly being adopted by the biomedical research community, and these techniques are becoming indispensable tools to understanding biological function at the molecular level.


History

By 1978, the first theoretical ideas had been developed to break the Abbe limit, which called for using a
4Pi microscope A 4Pi microscope is a laser scanning fluorescence microscope with an improved optical axis, axial Optical resolution, resolution. With it the typical range of the axial resolution of 500–700 nm can be improved to 100–150 nm, which corr ...
as a confocal laser-scanning fluorescence microscope where the light is focused from all sides to a common focus that is used to scan the object by 'point-by-point' excitation combined with 'point-by-point' detection. However the publication from 1978 had drawn an improper physical conclusion (i.e. a point-like spot of light) and had completely missed the axial resolution increase as the actual benefit of adding the other side of the solid angle. Some of the following information was gathered (with permission) from a chemistry blog's review of sub-diffraction microscopy techniques. In 1986, a super-resolution optical microscope based on stimulated emission was patented by Okhonin.V.A. Okhonin, Method of investigating specimen microstructure
Patent SU 1374922
priority date 10 April 1986
Published on July 30, 1991
Soviet Patents Abstracts, Section EI, Week 9218, Derwent Publications Ltd., London, GB; Class S03, p. 4. Cited by patent
US 5394268 A
(1993) an
US RE38307 E1
(1995). From th
English translation
"The essence of the invention is as follows. Luminescence is excited in a sample placed in the field of several standing light waves, which cause luminescence quenching because of stimulated transitions...".


Super-resolution techniques


Photon tunneling microscopy (PTM)


Local enhancement / ANSOM / optical nano-antennas


Near-field optical random mapping (NORM) microscopy

Near-field optical random mapping (NORM) microscopy is a method of optical near-field acquisition by a far-field microscope through the observation of nanoparticles' Brownian motion in an immersion liquid. NORM utilizes object surface scanning by stochastically moving nanoparticles. Through the microscope, nanoparticles look like symmetric round spots. The spot width is equivalent to the point spread function (~ 250 nm) and is defined by the microscope resolution. Lateral coordinates of the given particle can be evaluated with a precision much higher than the resolution of the microscope. By collecting the information from many frames one can map out the near field intensity distribution across the whole field of view of the microscope. In comparison with NSOM and ANSOM this method does not require any special equipment for tip positioning and has a large field of view and a depth of focus. Due to the large number of scanning "sensors" one can achieve image acquisition in a shorter time.


4Pi

A
4Pi microscope A 4Pi microscope is a laser scanning fluorescence microscope with an improved optical axis, axial Optical resolution, resolution. With it the typical range of the axial resolution of 500–700 nm can be improved to 100–150 nm, which corr ...
is a laser-scanning
fluorescence microscope A fluorescence microscope is an optical microscope that uses fluorescence instead of, or in addition to, scattering, reflection, and attenuation or absorption, to study the properties of organic or inorganic substances. "Fluorescence micro ...
with an improved
axial Axial may refer to: * one of the anatomical directions describing relationships in an animal body * In geometry: :* a geometric term of location :* an axis of rotation * In chemistry, referring to an axial bond * a type of modal frame, in music * ...
resolution. The typical value of 500–700 nm can be improved to 100–150 nm, which corresponds to an almost spherical focal spot with 5–7 times less volume than that of standard
confocal microscopy Confocal microscopy, most frequently confocal laser scanning microscopy (CLSM) or laser confocal scanning microscopy (LCSM), is an optical imaging technique for increasing optical resolution and contrast of a micrograph by means of using a s ...
. The improvement in resolution is achieved by using two opposing objective lenses, both of which are focused to the same geometric location. Also, the difference in
optical path length In optics, optical path length (OPL, denoted ''Λ'' in equations), also known as optical length or optical distance, is the product of the geometric length of the optical path followed by light and the refractive index of homogeneous medium throu ...
through each of the two objective lenses is carefully minimized. By this, molecules residing in the common focal area of both objectives can be illuminated coherently from both sides, and the reflected or emitted light can be collected coherently, i.e. coherent superposition of emitted light on the detector is possible. The
solid angle In geometry, a solid angle (symbol: ) is a measure of the amount of the field of view from some particular point that a given object covers. That is, it is a measure of how large the object appears to an observer looking from that point. The po ...
\Omega that is used for illumination and detection is increased and approaches the ideal case, where the sample is illuminated and detected from all sides simultaneously. Up to now, the best quality in a 4Pi microscope has been reached in conjunction with STED microscopy in fixed cells and
RESOLFT RESOLFT, an acronym for REversible Saturable OpticaL Fluorescence Transitions, denotes a group of optical fluorescence microscopy techniques with very high resolution. Using standard far field visible light optics a resolution far below the diffrac ...
microscopy with switchable proteins in living cells.


Structured illumination microscopy (SIM)

Structured illumination microscopy (SIM) enhances spatial resolution by collecting information from frequency space outside the observable region. This process is done in reciprocal space: the
Fourier transform A Fourier transform (FT) is a mathematical transform that decomposes functions into frequency components, which are represented by the output of the transform as a function of frequency. Most commonly functions of time or space are transformed, ...
(FT) of an SI image contains superimposed additional information from different areas of reciprocal space; with several frames where the illumination is shifted by some phase, it is possible to computationally separate and reconstruct the FT image, which has much more resolution information. The reverse FT returns the reconstructed image to a super-resolution image. SIM microscopy could potentially replace
electron microscopy An electron microscope is a microscope that uses a beam of accelerated electrons as a source of illumination. As the wavelength of an electron can be up to 100,000 times shorter than that of visible light photons, electron microscopes have a ...
as a tool for some medical diagnoses. These include diagnosis of kidney disorders, kidney cancer, and blood diseases. Although the term "structured illumination microscopy" was coined by others in later years, Guerra (1995) first published results in which light patterned by a 50 nm pitch grating illuminated a second grating of pitch 50 nm, with the gratings rotated with respect to each other by the angular amount needed to achieve magnification. Although the illuminating wavelength was 650 nm, the 50 nm grating was easily resolved. This showed a nearly 5-fold improvement over the Abbe resolution limit of 232 nm that should have been the smallest obtained for the numerical aperture and wavelength used. In further development of this work, Guerra showed that super-resolved lateral topography is attained by phase-shifting the evanescent field. Several U.S. patentsU.S. Patent Number 5,774,221, Apparatus and methods for providing phase-controlled evanescent illumination (1996)Number 5,666,197, Apparatus and methods employing phase control and analysis of evanescent for imaging and metrology of subwavelength lateral surface topography (1996)
an
Number 5,715,059, Dark field, photon tunneling systems and methods (1996)
/ref> were issued to Guerra individually, or with colleagues, and assigned to the
Polaroid Corporation Polaroid is an American company best known for its instant film and cameras. The company was founded in 1937 by Edwin H. Land, to exploit the use of its Polaroid polarizing polymer. Land ran the company until 1981. Its peak employment was 21,0 ...
. Licenses to this technology were procured by Dyer Energy Systems, Calimetrics Inc., and Nanoptek Corp. for use of this super-resolution technique in optical data storage and microscopy. cell nuclei The cell nucleus (pl. nuclei; from Latin or , meaning ''kernel'' or ''seed'') is a membrane-bound organelle found in eukaryotic cells. Eukaryotic cells usually have a single nucleus, but a few cell types, such as mammalian red blood cells, h ...
and
mitotic In cell biology, mitosis () is a part of the cell cycle in which replicated chromosomes are separated into two new nuclei. Cell division by mitosis gives rise to genetically identical cells in which the total number of chromosomes is mainta ...
stages recorded with 3D-SIM."> File:3D-SIM-1 NPC Confocal vs 3D-SIM.jpg, Comparison confocal microscopy – 3D-SIM File:3D-SIM-2 Nucleus prophase 3d rotated.jpg, Cell nucleus in
prophase Prophase () is the first stage of cell division in both mitosis and meiosis. Beginning after interphase, DNA has already been replicated when the cell enters prophase. The main occurrences in prophase are the condensation of the chromatin reti ...
from various angles File:3D-SIM-3 Prophase 3 color.jpg, Two mouse cell nuclei in prophase. File:3D-SIM-4 Anaphase 3 color.jpg, mouse cell in
telophase Telophase () is the final stage in both meiosis and mitosis in a eukaryotic cell. During telophase, the effects of prophase and prometaphase (the nucleolus and nuclear membrane disintegrating) are reversed. As chromosomes reach the cell poles, a ...


Spatially modulated illumination (SMI)

One implementation of structured illumination is known as spatially modulated illumination (SMI). Like standard structured illumination, the SMI technique modifies the point spread function (PSF) of a microscope in a suitable manner. In this case however, "the optical resolution itself is not enhanced"; instead structured illumination is used to maximize the precision of
distance Distance is a numerical or occasionally qualitative measurement of how far apart objects or points are. In physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria (e.g. "two counties over"). ...
measurements of fluorescent objects, to "enable size measurements at molecular dimensions of a few tens of nanometers". The Vertico SMI microscope achieves structured illumination by using one or two opposing interfering laser beams along the axis. The object being imaged is then moved in high-precision steps through the wave field, or the wave field itself is moved relative to the object by phase shifts. This results in an improved axial size and distance resolution. SMI can be combined with other super resolution technologies, for instance with 3D LIMON or LSI- TIRF as a
total internal reflection Total internal reflection (TIR) is the optical phenomenon in which waves arriving at the interface (boundary) from one medium to another (e.g., from water to air) are not refracted into the second ("external") medium, but completely reflecte ...
interferometer with laterally structured illumination (this last instrument and technique is essentially a phase-shifted photon tunneling microscope, which employs a total internal reflection light microscope with phase-shifted evanescent field (Guerra, 1996)). This SMI technique allows one to acquire light-optical images of autofluorophore distributions in sections from human eye tissue with previously unmatched optical resolution. Use of three different excitation wavelengths (488, 568, and 647 nm), enables one to gather spectral information about the autofluorescence signal. This has been used to examine human eye tissue affected by
macular degeneration Macular degeneration, also known as age-related macular degeneration (AMD or ARMD), is a medical condition which may result in blurred or no vision in the center of the visual field. Early on there are often no symptoms. Over time, however, som ...
.


Deterministic functional techniques

REversible Saturable OpticaL Fluorescence Transitions (RESOLFT) microscopy is an
optical microscopy Optics is the branch of physics that studies the behaviour and properties of light, including its interactions with matter and the construction of instruments that use or detect it. Optics usually describes the behaviour of visible, ultraviol ...
with very high resolution that can image details in samples that cannot be imaged with conventional or
confocal microscopy Confocal microscopy, most frequently confocal laser scanning microscopy (CLSM) or laser confocal scanning microscopy (LCSM), is an optical imaging technique for increasing optical resolution and contrast of a micrograph by means of using a s ...
. Within RESOLFT the principles of STED microscopy and GSD microscopy are generalized. Also, there are techniques with other concepts than RESOLFT or SSIM. For example,
fluorescence microscopy A fluorescence microscope is an optical microscope that uses fluorescence instead of, or in addition to, scattering, reflection, and attenuation or absorption, to study the properties of organic or inorganic substances. "Fluorescence micr ...
using the optical
AND gate The AND gate is a basic digital logic gate that implements logical conjunction (∧) from mathematical logic AND gate behaves according to the truth table. A HIGH output (1) results only if all the inputs to the AND gate are HIGH (1). If not all ...
property of nitrogen-vacancy center, or super-resolution by Stimulated Emission of Thermal Radiation (SETR), which uses the intrinsic super-linerarities of the
Black-Body radiation Black-body radiation is the thermal electromagnetic radiation within, or surrounding, a body in thermodynamic equilibrium with its environment, emitted by a black body (an idealized opaque, non-reflective body). It has a specific, continuous sp ...
and expands the concept of super-resolution beyond microscopy.


Stimulated emission depletion (STED)

Stimulated emission depletion microscopy Stimulated emission depletion (STED) microscopy is one of the techniques that make up super-resolution microscopy. It creates super-resolution images by the selective deactivation of fluorophores, minimizing the area of illumination at the focal p ...
(STED) uses two laser pulses, the excitation pulse for excitation of the
fluorophore A fluorophore (or fluorochrome, similarly to a chromophore) is a fluorescent chemical compound that can re-emit light upon light excitation. Fluorophores typically contain several combined aromatic groups, or planar or cyclic molecules with ...
s to their fluorescent state and the STED pulse for the de-excitation of fluorophores by means of
stimulated emission Stimulated emission is the process by which an incoming photon of a specific frequency can interact with an excited atomic electron (or other excited molecular state), causing it to drop to a lower energy level. The liberated energy transfers to th ...
. In practice, the excitation laser pulse is first applied whereupon a STED pulse soon follows (STED without pulses using continuous wave lasers is also used). Furthermore, the STED pulse is modified in such a way so that it features a zero-intensity spot that coincides with the excitation focal spot. Due to the non-linear dependence of the stimulated emission rate on the intensity of the STED beam, all the fluorophores around the focal excitation spot will be in their off state (the ground state of the fluorophores). By scanning this focal spot, one retrieves the image. The
full width at half maximum In a distribution, full width at half maximum (FWHM) is the difference between the two values of the independent variable at which the dependent variable is equal to half of its maximum value. In other words, it is the width of a spectrum curve mea ...
(FWHM) of the point spread function (PSF) of the excitation focal spot can theoretically be compressed to an arbitrary width by raising the intensity of the STED pulse, according to equation (). : \Delta r \approx \frac   () : where ∆r is the lateral resolution, ∆ is the FWHM of the diffraction limited PSF, ''I''max is the peak intensity of the STED laser, and I_ is the threshold intensity needed in order to achieve saturated emission depletion. The main disadvantage of STED, which has prevented its widespread use, is that the machinery is complicated. On the one hand, the image acquisition speed is relatively slow for large fields of view because of the need to scan the sample in order to retrieve an image. On the other hand, it can be very fast for smaller fields of view: recordings of up to 80 frames per second have been shown. Due to a large ''Is'' value associated with STED, there is the need for a high-intensity excitation pulse, which may cause damage to the sample.


Ground state depletion (GSD)

Ground state depletion microscopy (GSD microscopy) uses the
triplet state In quantum mechanics, a triplet is a quantum state of a system with a spin of quantum number =1, such that there are three allowed values of the spin component, = −1, 0, and +1. Spin, in the context of quantum mechanics, is not a mechanical ...
of a fluorophore as the off-state and the singlet state as the on-state, whereby an excitation laser is used to drive the fluorophores at the periphery of the
singlet state In quantum mechanics, a singlet state usually refers to a system in which all electrons are paired. The term 'singlet' originally meant a linked set of particles whose net angular momentum is zero, that is, whose overall spin quantum number s=0. As ...
molecule to the triplet state. This is much like STED, where the off-state is the ground state of fluorophores, which is why equation () also applies in this case. The I_ value is smaller than in STED, making super-resolution imaging possible at a much smaller laser intensity. Compared to STED, though, the fluorophores used in GSD are generally less photostable; and the saturation of the triplet state may be harder to realize.


Saturated structured illumination microscopy (SSIM)

Saturated structured-illumination microscopy (SSIM) exploits the nonlinear dependence of the emission rate of fluorophores on the intensity of the excitation laser. By applying a sinusoidal illumination pattern with a peak intensity close to that needed in order to saturate the fluorophores in their fluorescent state, one retrieves Moiré fringes. The fringes contain high order spatial information that may be extracted by computational techniques. Once the information is extracted, a super-resolution image is retrieved. SSIM requires shifting the illumination pattern multiple times, effectively limiting the temporal resolution of the technique. In addition there is the need for very photostable fluorophores, due to the saturating conditions, which inflict radiation damage on the sample and restrict the possible applications for which SSIM may be used. Examples of this microscopy are shown under section Structured illumination microscopy (SIM): images of cell nuclei and mitotic stages recorded with 3D-SIM Microscopy.


Stochastic functional techniques


Localization microscopy

Single-molecule localization microscopy (SMLM) summarizes all microscopical techniques that achieve super-resolution by isolating emitters and fitting their images with the point spread function (PSF). Normally, the width of the point spread function (~ 250 nm) limits resolution. However, given an isolated emitter, one is able to determine its location with a precision only limited by its intensity according to equation (). : \Delta \mathrm \approx \frac   () : where Δloc is the localization precision, Δ is the FWHM (full width at half maximum) of the PSF and N is the number of collected photons. This fitting process can only be performed reliably for isolated emitters (see
Deconvolution In mathematics, deconvolution is the operation inverse to convolution. Both operations are used in signal processing and image processing. For example, it may be possible to recover the original signal after a filter (convolution) by using a de ...
), and interesting biological samples are so densely labeled with emitters that fitting is impossible when all emitters are active at the same time. SMLM techniques solve this dilemma by activating only a sparse subset of emitters at the same time, localizing these few emitters very precisely, deactivating them and activating another subset. Considering background and camera pixelation, and using Gaussian approximation for the point spread function (
Airy disk In optics, the Airy disk (or Airy disc) and Airy pattern are descriptions of the best- focused spot of light that a perfect lens with a circular aperture can make, limited by the diffraction of light. The Airy disk is of importance in physics ...
) of a typical microscope, the theoretical resolution is proposed by Thompson et al. and fine-tuned by Mortensen et al.: : \sigma^2 = \frac(\frac+\frac) : where : * ''σ'' is the Gaussian standard deviation of the center locations of the same molecule if measured multiple times (e.g. frames of a video). (unit m) : * ''σ''PSF is the Gaussian standard deviation of the point spread function, whose FWHM following the
Ernst Abbe Ernst Karl Abbe HonFRMS (23 January 1840 – 14 January 1905) was a German physicist, optical scientist, entrepreneur, and social reformer. Together with Otto Schott and Carl Zeiss, he developed numerous optical instruments. He was also a ...
equation ''d = λ/(2 N.A.)''. (unit m) : * ''a'' is the size of each image pixel. (unit m) : * ''N''sig is the photon counts of the total PSF over all pixels of interest. (unitless) : * ''N''bg the average background photon counts per pixel (dark counts already removed), which is approximated to be the square of the Gaussian standard deviation of the
Poisson distribution In probability theory and statistics, the Poisson distribution is a discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time or space if these events occur with a known ...
background noise of each pixel over time or standard deviation of all pixels with background noise only, ''σ''bg2. The larger the ''σ''bg2, the better the approximation (e.g. good for ''σ''bg2 >10, excellent for ''σ''bg2 >1000). (unitless) : * Resolution FWHM is ~2.355 times the Gaussian standard deviation. Generally, localization microscopy is performed with fluorophores. Suitable fluorophores (e.g. for STORM) reside in a non-fluorescent dark state for most of the time and are activated stochastically, typically with an excitation laser of low intensity. A readout laser stimulates fluorescence and bleaches or photoswitches the fluorophores back to a dark state, typically within 10–100 ms. In points accumulation for imaging in nanoscale topography (PAINT), the fluorophores are nonfluorescent before binding and fluorescent after. The photons emitted during the fluorescent phase are collected with a camera and the resulting image of the fluorophore (which is distorted by the PSF) can be fitted with very high precision, even on the order of a few Angstroms. Repeating the process several thousand times ensures that all fluorophores can go through the bright state and are recorded. A computer then reconstructs a super-resolved image. The desirable traits of fluorophores used for these methods, in order to maximize the resolution, are that they should be bright. That is, they should have a high extinction coefficient and a high
quantum yield The quantum yield (Φ) of a radiation-induced process is the number of times a specific event occurs per photon absorbed by the system. Applications Fluorescence spectroscop