Limitations of superoscillation filters in microscopy applications

The idea of superresolving pupil filters comes from the concept of superoscillations that may occur in regions of a band-limited signal with small amplitude having oscillations faster than the fastest Fourier component of the signal. In optical microscopy, superresolution can be achieved by appropri...

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Bibliographic Details
Published in:Optics letters 2012-03, Vol.37 (5), p.903-905
Main Authors: Hyvärinen, Heikki J, Rehman, Shakil, Tervo, Jani, Turunen, Jari, Sheppard, Colin J R
Format: Article
Language:English
Subjects:
Apertures
Diffraction
Fourier analysis
Mathematical analysis
Microscopy
Microscopy - methods
Optical Phenomena
Oscillations
Pupils
Sidelobes
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Summary:The idea of superresolving pupil filters comes from the concept of superoscillations that may occur in regions of a band-limited signal with small amplitude having oscillations faster than the fastest Fourier component of the signal. In optical microscopy, superresolution can be achieved by appropriate design of pupil functions where the angular aperture determines the ultimate focal spot smaller than the Abbe diffraction limit outside the evanescent field region. The angular aperture cannot be increased indefinitely and the huge sidelobes cannot be avoided that are present in superresolving filters. The limitations of using such kind of filters in microscopy applications are discussed through computational examples.
ISSN:0146-9592
1539-4794
DOI:10.1364/ol.37.000903