Which superresolution techniques do you know that are used to obtain resolution which is better than that allowed by the diffraction limit? Are these techniques taken into account the aberrations? Relevant references are welcome. Thank you in advance!
NSOM (or SNOM), FRET. Just search for the keywords - hundreds of publications!...
@Curtis,
First of all thank you for your response.
When I used the term "Diffraction limit" I mainly meant the "limitation dictated by the Airry disk". I want better understand which tools are already developed and if it possible use them to my research.
We worked on the problem of going beyond the diffraction limit by data inversion several years ago. Our conclusion was that it is possible to resolve details of a target beyond this limit if the size of the target is also of the order of this limit. Standard algorithms such as Richardson-Lucy7 or ML-EM can do that; a further improvement can be obtained by constraining the solution to be zero outside the domain of the target. I can quote our paper: M. Bertero, and P. Boccacci, 2003, Super-resolution in computational imaging, Micron, , 34, 265-273 or our mathematical tre3tment of the approach as described in:M. Bertero, and C. De Mol, 1996, Super-resolution by data inversion, in Progress in Optics, ed. E. Wolf, Vol. XXXVI, 129-178 (Elsevier, Amsterdam) where you also find references to our previous work.
Happy to be in touch for more detail
I can add to my previous reply that nowadays, in microscopy, techniques are available such as STED microscopy, introduced by Stefan Hell, Nobel laureate 2014 in Chemistry, which allow resolution well beyond the diffraction limit. In other domains, such as Astronomy, only computational methods are possible to my knowledge. Since these methods require the knowledge of the PSF, they also take into account aberrations of the imaging system.
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