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Z. Wang and B. Luk’yanchuk
The resolution of optical microscope was first described by German physicist
Ernst Abbe in 1873 [1]: The minimum distance, d’, between two structural elements
to be imaged as two objects instead of one, is given by d’ = Kλ/NA = 0.5λ/NA
(K = 0.5), where λ is the wavelength of light and NA the numerical aperture of the
objective lens. Other ways of resolution definition, such as Sparrow [2], Houston
[3] or Rayleigh [4] criteria, with K = 0.473, 0.515, or 0.61 respectively, has since
been developed in the history. The underlying physics of resolution limit is optical
diffraction and loss of evanescent wave components when light travels into far-field
from objects; Subwavelength spatial information of an object was carried by the
high-frequency evanescent waves which decay exponentially with distance from the
object. For a white light microscope, the resolution limit is about 200–250 nm. The
Abbe resolution limit was considered the fundamental limit of optical microscope
resolution for a century.
The emerge of near-field optics breaks the resolution limit. In 1984, GermanSwiss physicist Dieter Pohl and colleagues invented Near-field Scanning Optical
Microscopy (NSOM or SNOM), the first optical instrument that provided optical
resolution far beyond Abbe’s limit, e.g. 20 nm at wavelength 515 nm [5]. Here,
a super-resolution image of a structure is constructed by scanning a tiny tip with
nano-sized aperture in the proximity (~tens nanometres) of an illuminated specimen.
From late 1990s, stimulated by the rapid advancements of plasmonics, nanophotonics and metamaterials, new super-resolution microscopy/nanoscopy techniques
have emerged, including metal-based metamaterial superlens [6], STED (stimulated
emission depletion microscopy) [7], optical superoscillatory lens [8], SIM (structured
illumination microscopy) [9] and more [10].
In 2000, British scientist John Pendry proposed the intriguing ‘metamaterial superlens’ (also known as Pendry superlens) concept, which uses a slab of NIM (negativeindex medium) as superlens to enhance and transfer the evanescent waves for perfect
imaging [6]. The fascinating ‘perfect lens’ proposal sparked a real surge in metamaterials and plasmonics research. Based on Pendry’s recipe, several variations of
metal-based metamaterial superlenses were developed and demonstrated by groups
across the world [11–14]. Among them the hyperlens [12, 13] received most attention. Hyperlens is engineered such that the evanescent waves of objects are converted
into propagating waves forming a magnified image of the sample on a distant screen.
It is plausible to think it is a far-field imaging device. However, projection to a distant
screen does not alert the fact that the hyperlens relies on the sample’s near-field to
achieve super-resolution. Therefore, it is still a near-field imaging device. Due to
intrinsic losses in metals and nanofabrication challenges, superlenses constructed
with metal elements show a limited resolution about 70 ~ 100 nm at visible frequencies and being seldom used in biomedical imaging.
Another major route to super-resolution is fluorescent microscopy, which seeks
super-resolution from the labelling of samples rather than the lenses. The superresolution fluorescence microscopy techniques can be divided into two categories:
spatially patterned excitation (STED, SSIM, RESOLFTs) [15] and single-molecule
localization (STORM, PALM, FPALM) [15] of fluorescence molecules. The techniques have been widely used in biological sciences, like microbiology, cell biology
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