Investigation of a concentric black and white hexagonal pupil and its application in confocal microscopic imaging
Hamed, Abdallah;
Abstract
We constructed a new concentric black and white (B/W) hexagonal aperture, and we
resized the image in a matrix of dimensions 1024 × 1024 pixels using MATLAB code. We
derived a new formula for the point spread function (PSF) corresponding to the B/W hexagonal aperture. We computed the PSF using the Fast Fourier transform and compared the
results with the case of a transparent hexagonal shape. In addition, we computed the coherent transfer function (CTF) for two symmetric objectives provided with the B/W hexagonal
aperture. Finally, we reconstructed the image from the input object located in the confocal plane of the microscope provided with the modulated hexagonal apertures. We showed
that the full width of the central lobe is smaller than that corresponding to the transparent
hexagonal aperture hence improved resolution is attained in the case of B/W hexagonal
aperture. In addition, we showed significant Legs of diffraction pattern corresponding to
the B/W concentric hexagonal aperture. Then the PSF is dependent on the geometry of the
B/W hexagonal aperture. We conclude that the image resolution which depends on the PSF
is improved in the case of B/W hexagonal aperture. In contrast, the image contrast is affected by
the transmitted intensity in the detection plane of the confocal microscope. The coherent
transfer function (CTF) or the autocorrelation corresponding to the B/W concentric hex
agonal aperture has triangular decaying fringing compared to the
uniform hexagonal and circular apertures.
resized the image in a matrix of dimensions 1024 × 1024 pixels using MATLAB code. We
derived a new formula for the point spread function (PSF) corresponding to the B/W hexagonal aperture. We computed the PSF using the Fast Fourier transform and compared the
results with the case of a transparent hexagonal shape. In addition, we computed the coherent transfer function (CTF) for two symmetric objectives provided with the B/W hexagonal
aperture. Finally, we reconstructed the image from the input object located in the confocal plane of the microscope provided with the modulated hexagonal apertures. We showed
that the full width of the central lobe is smaller than that corresponding to the transparent
hexagonal aperture hence improved resolution is attained in the case of B/W hexagonal
aperture. In addition, we showed significant Legs of diffraction pattern corresponding to
the B/W concentric hexagonal aperture. Then the PSF is dependent on the geometry of the
B/W hexagonal aperture. We conclude that the image resolution which depends on the PSF
is improved in the case of B/W hexagonal aperture. In contrast, the image contrast is affected by
the transmitted intensity in the detection plane of the confocal microscope. The coherent
transfer function (CTF) or the autocorrelation corresponding to the B/W concentric hex
agonal aperture has triangular decaying fringing compared to the
uniform hexagonal and circular apertures.
Other data
Title | Investigation of a concentric black and white hexagonal pupil and its application in confocal microscopic imaging | Authors | Hamed, Abdallah | Keywords | Hexagonal black and white aperture;Point spread function;Coherent transfer function;Confocal microscopic imaging | Issue Date | 10-Nov-2023 | Publisher | Springer Nature | Journal | Optical and Quantum Electronics | Volume | 55 | Start page | 1 | End page | 11 | DOI | 10.1007/s11082-023-05563-5 |
Attached Files
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OQE paper 2023 Nov 10 BW hexagonal.pdf | 1.08 MB | Adobe PDF | Request a copy |
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