Second-order optical differentiation of a 3D light beam at oblique incidence using a multilayer metal-dielectric structure
We investigate the optical implementation of a second-order differentiation operation using a metal-dielectric layered structure in the oblique incidence geometry. It is shown that the transformation of the profile of a three-dimensional light beam occurring upon its reflection from a layered struct...
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| Format: | Article |
| Language: | English |
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Samara National Research University
2023-12-01
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| Series: | Компьютерная оптика |
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| Online Access: | https://www.computeroptics.ru/eng/KO/Annot/KO47-6/470601e.html |
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| author | A.I. Kashapov L.L. Doskolovich E.A. Bezus N.V. Golovastikov D.A. Bykov |
| author_facet | A.I. Kashapov L.L. Doskolovich E.A. Bezus N.V. Golovastikov D.A. Bykov |
| author_sort | A.I. Kashapov |
| collection | DOAJ |
| description | We investigate the optical implementation of a second-order differentiation operation using a metal-dielectric layered structure in the oblique incidence geometry. It is shown that the transformation of the profile of a three-dimensional light beam occurring upon its reflection from a layered structure can be described using the theory of linear systems. The transfer function of the corresponding linear system is obtained, and it is shown that if a layered structure has a reflection zero of the second order with respect to the spatial frequency for one of the polarizations, the transformation performed by the structure corresponds to the weighted sum of the second derivatives of the incident beam profile with respect to the spatial coordinates. Using the presented theoretical description, layered metal-dielectric structures for computing the second derivative with respect to one of the spatial coordinates and for computing the Laplace operator of the profile of a three-dimensional linearly polarized light beam are calculated. The presented numerical simulation results demonstrate high-quality computation of these operators. |
| format | Article |
| id | doaj-art-fb303c16ce8b47d2ac6876e9b34fd818 |
| institution | Kabale University |
| issn | 0134-2452 2412-6179 |
| language | English |
| publishDate | 2023-12-01 |
| publisher | Samara National Research University |
| record_format | Article |
| series | Компьютерная оптика |
| spelling | doaj-art-fb303c16ce8b47d2ac6876e9b34fd8182025-01-23T09:23:38ZengSamara National Research UniversityКомпьютерная оптика0134-24522412-61792023-12-0147684585510.18287/2412-6179-CO-1311Second-order optical differentiation of a 3D light beam at oblique incidence using a multilayer metal-dielectric structureA.I. Kashapov0L.L. Doskolovich1E.A. Bezus2N.V. Golovastikov3D.A. Bykov4IPSI RAS – Branch of the FSRC "Crystallography and Photonics" RAS; Samara National Research UniversityIPSI RAS – Branch of the FSRC "Crystallography and Photonics" RAS; Samara National Research UniversityIPSI RAS – Branch of the FSRC "Crystallography and Photonics" RAS; Samara National Research UniversitySamara National Research University; IPSI RAS – Branch of the FSRC "Crystallography and Photonics" RASSamara National Research University; IPSI RAS – Branch of the FSRC "Crystallography and Photonics" RASWe investigate the optical implementation of a second-order differentiation operation using a metal-dielectric layered structure in the oblique incidence geometry. It is shown that the transformation of the profile of a three-dimensional light beam occurring upon its reflection from a layered structure can be described using the theory of linear systems. The transfer function of the corresponding linear system is obtained, and it is shown that if a layered structure has a reflection zero of the second order with respect to the spatial frequency for one of the polarizations, the transformation performed by the structure corresponds to the weighted sum of the second derivatives of the incident beam profile with respect to the spatial coordinates. Using the presented theoretical description, layered metal-dielectric structures for computing the second derivative with respect to one of the spatial coordinates and for computing the Laplace operator of the profile of a three-dimensional linearly polarized light beam are calculated. The presented numerical simulation results demonstrate high-quality computation of these operators.https://www.computeroptics.ru/eng/KO/Annot/KO47-6/470601e.htmloptical differentiationsecond derivativelaplace operatorlayered structuretransfer function |
| spellingShingle | A.I. Kashapov L.L. Doskolovich E.A. Bezus N.V. Golovastikov D.A. Bykov Second-order optical differentiation of a 3D light beam at oblique incidence using a multilayer metal-dielectric structure Компьютерная оптика optical differentiation second derivative laplace operator layered structure transfer function |
| title | Second-order optical differentiation of a 3D light beam at oblique incidence using a multilayer metal-dielectric structure |
| title_full | Second-order optical differentiation of a 3D light beam at oblique incidence using a multilayer metal-dielectric structure |
| title_fullStr | Second-order optical differentiation of a 3D light beam at oblique incidence using a multilayer metal-dielectric structure |
| title_full_unstemmed | Second-order optical differentiation of a 3D light beam at oblique incidence using a multilayer metal-dielectric structure |
| title_short | Second-order optical differentiation of a 3D light beam at oblique incidence using a multilayer metal-dielectric structure |
| title_sort | second order optical differentiation of a 3d light beam at oblique incidence using a multilayer metal dielectric structure |
| topic | optical differentiation second derivative laplace operator layered structure transfer function |
| url | https://www.computeroptics.ru/eng/KO/Annot/KO47-6/470601e.html |
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