The computation of the average speckle size from the point spread function for triangular apertures..
Hamed, Abdallah;
Abstract
We suggest triangular aperture modeling for the computation of speckle size using the point spread function (PSF)
concept. The fast Fourier transform (FFT) algorithm indicates three models of triangular apertures in the point spread function
(PSF) computation. We calculated for the first time the average speckle size from the full width at half maximum (FWHM) for the
triangular apertures in the PSF. The results are compared with the speckle sizes results obtained from the autocorrelation of speckle
images corresponding to the considered models showed an agreement. In the analysis, I consider the 1st model with four equilateral
triangular apertures, each of equal sides (b), along the Cartesian coordinates at equal distances from the center (xd ). In the 2nd model,
I assume 16 triangular apertures in a circular contour. In contrast, in the 3rd model, a sequence of six equilateral triangular black and
white (B/W) zones is shown where the central triangle is black. I consider central obstruction to attenuate the low spatial frequency
in the PSF. I take a transparent triangular aperture for comparison. Also, the PSF corresponding to the circular aperture is given for
comparison. In addition, reconstructed images of apertures from the speckle images are obtained. We considered MATLAB codes
for all the computations and plots.
concept. The fast Fourier transform (FFT) algorithm indicates three models of triangular apertures in the point spread function
(PSF) computation. We calculated for the first time the average speckle size from the full width at half maximum (FWHM) for the
triangular apertures in the PSF. The results are compared with the speckle sizes results obtained from the autocorrelation of speckle
images corresponding to the considered models showed an agreement. In the analysis, I consider the 1st model with four equilateral
triangular apertures, each of equal sides (b), along the Cartesian coordinates at equal distances from the center (xd ). In the 2nd model,
I assume 16 triangular apertures in a circular contour. In contrast, in the 3rd model, a sequence of six equilateral triangular black and
white (B/W) zones is shown where the central triangle is black. I consider central obstruction to attenuate the low spatial frequency
in the PSF. I take a transparent triangular aperture for comparison. Also, the PSF corresponding to the circular aperture is given for
comparison. In addition, reconstructed images of apertures from the speckle images are obtained. We considered MATLAB codes
for all the computations and plots.
Other data
Title | The computation of the average speckle size from the point spread function for triangular apertures.. | Authors | Hamed, Abdallah | Issue Date | 18-Apr-2023 | Publisher | Springer Nature | Journal | The European Physical Journal Plus | DOI | 10.1140/s13360-023-03909-2 |
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