Investigation of rectangular apertures and their application on speckle imaging
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 ann...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-04-01
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| Series: | Beni-Suef University Journal of Basic and Applied Sciences |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s43088-022-00237-9 |
| _version_ | 1828379089127342080 |
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| author | A. M. Hamed T. A. Al-Saeed |
| author_facet | A. M. Hamed T. A. Al-Saeed |
| author_sort | A. M. Hamed |
| collection | DOAJ |
| description | 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 seeking 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 corresponding 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 apertures 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. |
| first_indexed | 2024-12-10T03:33:07Z |
| format | Article |
| id | doaj.art-dc5eb010d8d44b18a8b430e99714e151 |
| institution | Directory Open Access Journal |
| issn | 2314-8543 |
| language | English |
| last_indexed | 2024-12-10T03:33:07Z |
| publishDate | 2022-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Beni-Suef University Journal of Basic and Applied Sciences |
| spelling | doaj.art-dc5eb010d8d44b18a8b430e99714e1512022-12-22T02:03:46ZengSpringerOpenBeni-Suef University Journal of Basic and Applied Sciences2314-85432022-04-011111810.1186/s43088-022-00237-9Investigation of rectangular apertures and their application on speckle imagingA. M. Hamed0T. A. Al-Saeed1Physics Department, Faculty of Science, Ain Shams UniversityBiomedical Department, Faculty of Engineering, Helwan UniversityAbstract 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 seeking 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 corresponding 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 apertures 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.https://doi.org/10.1186/s43088-022-00237-9Modulated square aperturesPoint spread functionSpeckle images |
| spellingShingle | A. M. Hamed T. A. Al-Saeed Investigation of rectangular apertures and their application on speckle imaging Beni-Suef University Journal of Basic and Applied Sciences Modulated square apertures Point spread function Speckle images |
| title | Investigation of rectangular apertures and their application on speckle imaging |
| title_full | Investigation of rectangular apertures and their application on speckle imaging |
| title_fullStr | Investigation of rectangular apertures and their application on speckle imaging |
| title_full_unstemmed | Investigation of rectangular apertures and their application on speckle imaging |
| title_short | Investigation of rectangular apertures and their application on speckle imaging |
| title_sort | investigation of rectangular apertures and their application on speckle imaging |
| topic | Modulated square apertures Point spread function Speckle images |
| url | https://doi.org/10.1186/s43088-022-00237-9 |
| work_keys_str_mv | AT amhamed investigationofrectangularaperturesandtheirapplicationonspeckleimaging AT taalsaeed investigationofrectangularaperturesandtheirapplicationonspeckleimaging |