Abstract
BackgroundA hyper-resolving aperture composed of a polynomial distribution is suggested. The point spread function (PSF) is computed and compared with that corresponding to linear, quadratic, and circular apertures. In addition, the influence of the number of zones on the PSF is discussed. An application on confocal scanning laser microscope using Siemen’s star pattern as an object considering the polynomial apertures is given.ResultsWe have made polynomial apertures using MATLAB code, and we tested the resolution from the computation of the cut-off spatial frequency obtained from the computation of the point spread function.ConclusionsWe get compromised resolution and contrast for the polynomial apertures as compared with uniform circular apertures.
Highlights
A hyper-resolving aperture composed of a polynomial distribution is suggested
Analytical solution represented by Eq (5) is plotted in Fig. 6 and compared with uniform circular aperture
Color image corresponding to the second model of polynomial aperture showing ten concentric layers of B/Wpolynomial distribution where the center is dark
Summary
A hyper-resolving aperture composed of a polynomial distribution is suggested. The point spread function (PSF) is computed and compared with that corresponding to linear, quadratic, and circular apertures. Coherent illumination of the microscope is provided by a laser beam and a coherent point detector is placed in the imaging plane. This confocal microscope is studied by many authors [1,2,3,4,5,6,7,8,9,10]. An explanation for the imaging of confocal microscopy attaining super-resolution in confocal imaging was presented [7] It was shown early [3] that resolution has been improved by using annular aperture as compared with the open circular aperture. While the distribution in the aperture has a little effect on the resolution and contrast as in [11,12,13,14,15,16,17]
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