Fast simulation of the influence of a refractive free-form microstructure on a wave field based on scalar diffraction theory
We present a novel fast simulation approach to simulate the influence of refractive freeform microstructures on a wave field. The FRISP (Finite Refractive Index Selective Propagation) method combines the Rayleigh-Sommerfeld diffraction integral with a thin element approximation and provides a compre...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2025-01-01
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| Series: | Journal of the European Optical Society-Rapid Publications |
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| Online Access: | https://jeos.edpsciences.org/articles/jeos/full_html/2025/01/jeos20240073/jeos20240073.html |
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| author | Thiemicke Fabian El-Bashar Ramy Hameed Mohamed F.M. Agour Mostafa Obayya Salah S.A. Bergmann Ralf B. Falldorf Claas |
| author_facet | Thiemicke Fabian El-Bashar Ramy Hameed Mohamed F.M. Agour Mostafa Obayya Salah S.A. Bergmann Ralf B. Falldorf Claas |
| author_sort | Thiemicke Fabian |
| collection | DOAJ |
| description | We present a novel fast simulation approach to simulate the influence of refractive freeform microstructures on a wave field. The FRISP (Finite Refractive Index Selective Propagation) method combines the Rayleigh-Sommerfeld diffraction integral with a thin element approximation and provides a comprehensive framework for understanding the optical properties of these microstructures. The main advantage of this method is its reduced complexity, which leads to a remarkable reduction in computation time by more than two orders of magnitude compared to finite-difference time-domain (FDTD) methods. This efficiency facilitates the iterative optimization of refractive microstructures and thus represents a practical tool to improve this type of microstructures. The verification of the FRISP method is realized by comparing the focal position and spot size of refractive microstructures. For this purpose, we compare FDTD, Mie theory and experimental data on microspheres with the predictions of FRISP. This comparison demonstrates the robustness and reliability of the approach, emphasizes its validity and demonstrates it as a valuable tool for the design and analysis of microstructures. |
| format | Article |
| id | doaj-art-10851bd414dc445eb523b725b6f6b412 |
| institution | Kabale University |
| issn | 1990-2573 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | Journal of the European Optical Society-Rapid Publications |
| spelling | doaj-art-10851bd414dc445eb523b725b6f6b4122025-02-07T08:22:53ZengEDP SciencesJournal of the European Optical Society-Rapid Publications1990-25732025-01-01211410.1051/jeos/2024049jeos20240073Fast simulation of the influence of a refractive free-form microstructure on a wave field based on scalar diffraction theoryThiemicke Fabian0El-Bashar Ramy1Hameed Mohamed F.M.2Agour Mostafa3https://orcid.org/0000-0003-1618-824XObayya Salah S.A.4Bergmann Ralf B.5https://orcid.org/0000-0003-0214-2232Falldorf Claas6https://orcid.org/0000-0001-6481-5709BIAS-Bremer Institut für angewandte StrahltechnikNational Institute of Laser Enhanced Sciences (NILES), Cairo UniversityCenter for Nanotechnology, Zewail City of Science, Technology and InnovationBIAS-Bremer Institut für angewandte StrahltechnikCentre for Photonics and Smart Materials, Zewail City of Science, Technology and InnovationBIAS-Bremer Institut für angewandte StrahltechnikBIAS-Bremer Institut für angewandte StrahltechnikWe present a novel fast simulation approach to simulate the influence of refractive freeform microstructures on a wave field. The FRISP (Finite Refractive Index Selective Propagation) method combines the Rayleigh-Sommerfeld diffraction integral with a thin element approximation and provides a comprehensive framework for understanding the optical properties of these microstructures. The main advantage of this method is its reduced complexity, which leads to a remarkable reduction in computation time by more than two orders of magnitude compared to finite-difference time-domain (FDTD) methods. This efficiency facilitates the iterative optimization of refractive microstructures and thus represents a practical tool to improve this type of microstructures. The verification of the FRISP method is realized by comparing the focal position and spot size of refractive microstructures. For this purpose, we compare FDTD, Mie theory and experimental data on microspheres with the predictions of FRISP. This comparison demonstrates the robustness and reliability of the approach, emphasizes its validity and demonstrates it as a valuable tool for the design and analysis of microstructures.https://jeos.edpsciences.org/articles/jeos/full_html/2025/01/jeos20240073/jeos20240073.htmlrefractive micro structurescalar diffractionnanojetwave field propagation |
| spellingShingle | Thiemicke Fabian El-Bashar Ramy Hameed Mohamed F.M. Agour Mostafa Obayya Salah S.A. Bergmann Ralf B. Falldorf Claas Fast simulation of the influence of a refractive free-form microstructure on a wave field based on scalar diffraction theory Journal of the European Optical Society-Rapid Publications refractive micro structure scalar diffraction nanojet wave field propagation |
| title | Fast simulation of the influence of a refractive free-form microstructure on a wave field based on scalar diffraction theory |
| title_full | Fast simulation of the influence of a refractive free-form microstructure on a wave field based on scalar diffraction theory |
| title_fullStr | Fast simulation of the influence of a refractive free-form microstructure on a wave field based on scalar diffraction theory |
| title_full_unstemmed | Fast simulation of the influence of a refractive free-form microstructure on a wave field based on scalar diffraction theory |
| title_short | Fast simulation of the influence of a refractive free-form microstructure on a wave field based on scalar diffraction theory |
| title_sort | fast simulation of the influence of a refractive free form microstructure on a wave field based on scalar diffraction theory |
| topic | refractive micro structure scalar diffraction nanojet wave field propagation |
| url | https://jeos.edpsciences.org/articles/jeos/full_html/2025/01/jeos20240073/jeos20240073.html |
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