Methodology for determining temperature dependences of the diffraction efficiency of two-layer two-relief microstructures in the framework of a rigorous coupled-wave analysis
Aiming to calculate the diffraction efficiency of diffractive optical elements with a two-layer microstructure and two internal sawtooth reliefs within the framework of the rigorous electromagnetic theory of diffraction, we propose an approach that involves calculating the efficiency of the element...
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Samara National Research University
2025-06-01
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| Series: | Компьютерная оптика |
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| Online Access: | https://computeroptics.ru/eng/KO/Annot/KO49-3/490306e.html |
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| author | A.I. Antonov G.I. Greisukh |
| author_facet | A.I. Antonov G.I. Greisukh |
| author_sort | A.I. Antonov |
| collection | DOAJ |
| description | Aiming to calculate the diffraction efficiency of diffractive optical elements with a two-layer microstructure and two internal sawtooth reliefs within the framework of the rigorous electromagnetic theory of diffraction, we propose an approach that involves calculating the efficiency of the element as a whole through the efficiency of each zone of the microstructure separately. This approach is a basis for a DE calculation method, which takes into account the normalized area of each zone of a two-layer microstructure, the temperature dependences of the depths of both reliefs and their refractive indices, as well as the local mutual displacement of the microstructure layers due to a difference in the thermal expansion coefficients of their materials. We present a mathematical apparatus of the proposed technique that minimizes the computational complexity and demonstrates its effectiveness by the example of calculating the diffraction efficiency of the diffractive element of an ultra-high-aperture refractive-diffraction athermal dual-band infrared lens. We show that due to variations in the operating temperature (from –40°C to + 60°C), the diffraction efficiency drops by no more than 7% over the entire operating spectral range (3.5 – 5.2 μm; 7.5 – 11.4 μm) with permissible angles of light incidence on the microstucture ranging from –14° to +14°. |
| format | Article |
| id | doaj-art-52775bd32ff648ecacbf56c031ded31b |
| institution | Kabale University |
| issn | 0134-2452 2412-6179 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Samara National Research University |
| record_format | Article |
| series | Компьютерная оптика |
| spelling | doaj-art-52775bd32ff648ecacbf56c031ded31b2025-08-21T06:39:55ZengSamara National Research UniversityКомпьютерная оптика0134-24522412-61792025-06-0149339139810.18287/2412-6179-CO-1575Methodology for determining temperature dependences of the diffraction efficiency of two-layer two-relief microstructures in the framework of a rigorous coupled-wave analysisA.I. Antonov0G.I. Greisukh1Penza State University of Architecture and ConstructionPenza State University of Architecture and ConstructionAiming to calculate the diffraction efficiency of diffractive optical elements with a two-layer microstructure and two internal sawtooth reliefs within the framework of the rigorous electromagnetic theory of diffraction, we propose an approach that involves calculating the efficiency of the element as a whole through the efficiency of each zone of the microstructure separately. This approach is a basis for a DE calculation method, which takes into account the normalized area of each zone of a two-layer microstructure, the temperature dependences of the depths of both reliefs and their refractive indices, as well as the local mutual displacement of the microstructure layers due to a difference in the thermal expansion coefficients of their materials. We present a mathematical apparatus of the proposed technique that minimizes the computational complexity and demonstrates its effectiveness by the example of calculating the diffraction efficiency of the diffractive element of an ultra-high-aperture refractive-diffraction athermal dual-band infrared lens. We show that due to variations in the operating temperature (from –40°C to + 60°C), the diffraction efficiency drops by no more than 7% over the entire operating spectral range (3.5 – 5.2 μm; 7.5 – 11.4 μm) with permissible angles of light incidence on the microstucture ranging from –14° to +14°.https://computeroptics.ru/eng/KO/Annot/KO49-3/490306e.htmldiffractive optical elementtwo-layer microstructure with two internal sawtooth reliefsdiffraction efficiencyrigorous coupled-wave analysisfourier coefficientstemperature expansionthermo-optical constants |
| spellingShingle | A.I. Antonov G.I. Greisukh Methodology for determining temperature dependences of the diffraction efficiency of two-layer two-relief microstructures in the framework of a rigorous coupled-wave analysis Компьютерная оптика diffractive optical element two-layer microstructure with two internal sawtooth reliefs diffraction efficiency rigorous coupled-wave analysis fourier coefficients temperature expansion thermo-optical constants |
| title | Methodology for determining temperature dependences of the diffraction efficiency of two-layer two-relief microstructures in the framework of a rigorous coupled-wave analysis |
| title_full | Methodology for determining temperature dependences of the diffraction efficiency of two-layer two-relief microstructures in the framework of a rigorous coupled-wave analysis |
| title_fullStr | Methodology for determining temperature dependences of the diffraction efficiency of two-layer two-relief microstructures in the framework of a rigorous coupled-wave analysis |
| title_full_unstemmed | Methodology for determining temperature dependences of the diffraction efficiency of two-layer two-relief microstructures in the framework of a rigorous coupled-wave analysis |
| title_short | Methodology for determining temperature dependences of the diffraction efficiency of two-layer two-relief microstructures in the framework of a rigorous coupled-wave analysis |
| title_sort | methodology for determining temperature dependences of the diffraction efficiency of two layer two relief microstructures in the framework of a rigorous coupled wave analysis |
| topic | diffractive optical element two-layer microstructure with two internal sawtooth reliefs diffraction efficiency rigorous coupled-wave analysis fourier coefficients temperature expansion thermo-optical constants |
| url | https://computeroptics.ru/eng/KO/Annot/KO49-3/490306e.html |
| work_keys_str_mv | AT aiantonov methodologyfordeterminingtemperaturedependencesofthediffractionefficiencyoftwolayertworeliefmicrostructuresintheframeworkofarigorouscoupledwaveanalysis AT gigreisukh methodologyfordeterminingtemperaturedependencesofthediffractionefficiencyoftwolayertworeliefmicrostructuresintheframeworkofarigorouscoupledwaveanalysis |