|
This article is cited in 16 scientific papers (total in 16 papers)
PHYSICS OF OUR DAYS
Superresolution and singularities in phase images
V. P. Tychinskii Moscow State Institute of Radio Engineering, Electronics and Automatics
Abstract:
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 $\operatorname{grad}\varphi\approx I^{-1/2}$ 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 superresolution, $\Xi=r_0/L\cong 2(S/N)^{1/2}$, 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.
Received: June 8, 2008 Revised: August 29, 2008
Citation:
V. P. Tychinskii, “Superresolution and singularities in phase images”, UFN, 178:11 (2008), 1205–1214; Phys. Usp., 51:11 (2008), 1161–1169
Linking options:
https://www.mathnet.ru/eng/ufn665 https://www.mathnet.ru/eng/ufn/v178/i11/p1205
|
Statistics & downloads: |
Abstract page: | 542 | Full-text PDF : | 158 | References: | 58 | First page: | 1 |
|