Simulation of diffraction patterns of annular apertures
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| Title: | Simulation of diffraction patterns of annular apertures |
|---|---|
| Authors: | Yomber Montilla-López, Franyelit Suárez-Carreño, Brexys Linares, Loguard Rojas |
| Source: | Revista Brasileira de Ensino de Física, Vol 47 (2026) |
| Publisher Information: | Sociedade Brasileira de Física |
| Publication Year: | 2026 |
| Collection: | Directory of Open Access Journals: DOAJ Articles |
| Subject Terms: | Fraunhofer diffraction, annular aperture, Maple simulation, Python interface, diffraction patterns, Physics, QC1-999 |
| Description: | In this paper, Fraunhofer diffraction patterns generated by square and circular annular apertures are studied. The annular region is defined as the difference between two concentric areas of equal geometry: an outer fixed aperture and an inner closed obstacle, whose size is varied by a scaling parameter h. This parameter modifies the geometry of the aperture and, consequently, the shape and energy distribution in the diffraction pattern. Exact equations for intensity and analytical expressions for the fraction of energy contained in the region of maximum intensity are derived. For visualization and numerical analysis, codes are implemented in Maple 25, and a graphical user interface is designed in Python 3.13 that allows the evolution of diffraction patterns to be observed through animation as h varies. The study developed may be useful in optical applications, particularly in imaging systems. |
| Document Type: | article in journal/newspaper |
| Language: | Portuguese |
| Relation: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172025000100486&lng=en&tlng=en; http://www.scielo.br/pdf/rbef/v47/1806-9126-rbef-47-e20250346.pdf; https://doaj.org/toc/1806-9126; https://doaj.org/article/1a44a14c9066440eb47fdfea81ce4b35 |
| DOI: | 10.1590/1806-9126-rbef-2025-0346 |
| Availability: | https://doi.org/10.1590/1806-9126-rbef-2025-0346 https://doaj.org/article/1a44a14c9066440eb47fdfea81ce4b35 |
| Accession Number: | edsbas.9D265C92 |
| Database: | BASE |
Nájsť tento článok vo Web of Science | Abstract: | In this paper, Fraunhofer diffraction patterns generated by square and circular annular apertures are studied. The annular region is defined as the difference between two concentric areas of equal geometry: an outer fixed aperture and an inner closed obstacle, whose size is varied by a scaling parameter h. This parameter modifies the geometry of the aperture and, consequently, the shape and energy distribution in the diffraction pattern. Exact equations for intensity and analytical expressions for the fraction of energy contained in the region of maximum intensity are derived. For visualization and numerical analysis, codes are implemented in Maple 25, and a graphical user interface is designed in Python 3.13 that allows the evolution of diffraction patterns to be observed through animation as h varies. The study developed may be useful in optical applications, particularly in imaging systems. |
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| DOI: | 10.1590/1806-9126-rbef-2025-0346 |