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Superresolution and singularities in phase images


Moscow State Institute of Radio Engineering, Electronics, and Automatics (Technical University), prosp. Vernadskogo 78, Moscow, 117454, Russian Federation

The Rayleigh criterion and the Airy radius $r_0$ are not adequate for characterizing spatial resolution in phase and some other functional images. An essential feature of phase images is a possible formation of wavefront dislocations which depend on the position in space of the so-called singular lines $[I(x,y,z)=0]$, in the neighborhood of which the phase gradient grad $\varphi \approx I^{-1/2}$ increases and the intensity tends to zero. Based on this gradient phase behavior, the minimal length $L$ dependent on the signal-to-noise ratio $(S/N)$ is proposed as the phase resolution criterion, and a formula for the energy-dependent super-resolution, $\Xi = r_0/L \cong 2(S/N)^{1/2}$, is devised. Measurements on a 100-nm-diameter latex sphere using the Airyscan coherent phase microscope confirmed that a marked ($\Xi \cong 5$) superresolution can be achieved.

Fulltext is available at IOP
PACS: 42.30.−d, 42.79.−e, 87.64.Rr (all)
DOI: 10.1070/PU2008v051n11ABEH006682
URL: https://ufn.ru/en/articles/2008/11/c/
Citation: Tychinskii V P "Superresolution and singularities in phase images" Phys. Usp. 51 1161–1169 (2008)
BibTexBibNote ® (generic)BibNote ® (RIS)Medline RefWorks
RT Journal
T1 Superresolution and singularities in phase images
A1 Tychinskii,V.P.
PB Physics-Uspekhi
PY 2008
FD 10 Nov, 2008
JF Physics-Uspekhi
JO Phys. Usp.
VO 51
IS 11
SP 1161-1169
DO 10.1070/PU2008v051n11ABEH006682
LK https://ufn.ru/en/articles/2008/11/c/

Оригинал: Тычинский В П «Сверхразрешение и сингулярности в фазовых изображениях» УФН 178 1205–1214 (2008); DOI: 10.3367/UFNr.0178.200811c.1205

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