Investigation of rectangular apertures and their application on speckle imaging
Hamed, Abdallah; T. Al. Saeed;
Abstract
Abstract
Background: An aperture in the form of four squares arranged symmetrically along the cartesian coordinates with
equal distances from the center investigated. Three models are suggested in the computation of the Point Spread
Function PSF using the FFT technique. In the 1st model, circular annulus is placed in the center, while in the 2nd
model a square annulus is shown, and in the 3rd model, two symmetric squares in the models 1, 2 are replaced by two
symmetric rectangles while the center remains of square annulus. In all the models, central obstruction is made seek‑
ing to improve the PSF.
Results: An analytical formula for the PSF for the aperture described in the 1st model is obtained. In addition, the
autocorrelation corresponding to these apertures are computed and compared with the known autocorrelation cor‑
responding to the whole square aperture. An application on speckle imaging is given using these apertures combined with the diffuser. All images for the design of the apertures and the speckle images are made using the MATLAB
code.
Conclusions: The resolution computed from the FWHM showed an improvement for the suggested square aper‑
tures as compared with the uniform square aperture where the total width is kept constant. In addition, the strength
of the legs in the PSF for the suggested apertures is much higher than that corresponding the uniform aperture
which makes it useful for imaging of extended objects.
Background: An aperture in the form of four squares arranged symmetrically along the cartesian coordinates with
equal distances from the center investigated. Three models are suggested in the computation of the Point Spread
Function PSF using the FFT technique. In the 1st model, circular annulus is placed in the center, while in the 2nd
model a square annulus is shown, and in the 3rd model, two symmetric squares in the models 1, 2 are replaced by two
symmetric rectangles while the center remains of square annulus. In all the models, central obstruction is made seek‑
ing to improve the PSF.
Results: An analytical formula for the PSF for the aperture described in the 1st model is obtained. In addition, the
autocorrelation corresponding to these apertures are computed and compared with the known autocorrelation cor‑
responding to the whole square aperture. An application on speckle imaging is given using these apertures combined with the diffuser. All images for the design of the apertures and the speckle images are made using the MATLAB
code.
Conclusions: The resolution computed from the FWHM showed an improvement for the suggested square aper‑
tures as compared with the uniform square aperture where the total width is kept constant. In addition, the strength
of the legs in the PSF for the suggested apertures is much higher than that corresponding the uniform aperture
which makes it useful for imaging of extended objects.
Other data
Title | Investigation of rectangular apertures and their application on speckle imaging | Authors | Hamed, Abdallah ; T. Al. Saeed | Keywords | Modulated square apertures;Point spread function;Speckle images | Issue Date | 11-Apr-2022 | Publisher | Beni-Suef University | Journal | Journal of Basic and Applied Sciences | Volume | 11 | DOI | https://doi.org/10.1186/s43088-022-00237-9 |
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