Catastrophe theory and caustics of radially symmetric beams
The work is devoted to the study of the caustics of radial beams. Analytical expressions for caustic surfaces of wave fronts created by radially symmetric diffractive optical elements are found. The result is presented in a curvilinear coordinate system consistent with the caustic surface. An asympt...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Samara National Research University
2019-04-01
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| Series: | Компьютерная оптика |
| Subjects: | |
| Online Access: | http://computeroptics.ru/KO/PDF/KO43-2/430201.pdf |
| _version_ | 1819011255823761408 |
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| author | Sergey Kharitonov Sergey Volotovsky Svetlana Khonina |
| author_facet | Sergey Kharitonov Sergey Volotovsky Svetlana Khonina |
| author_sort | Sergey Kharitonov |
| collection | DOAJ |
| description | The work is devoted to the study of the caustics of radial beams. Analytical expressions for caustic surfaces of wave fronts created by radially symmetric diffractive optical elements are found. The result is presented in a curvilinear coordinate system consistent with the caustic surface. An asymptotic representation of the Kirchhoff integral near the optical axis is obtained, ensuring the correct calculations in the non-paraxial case. |
| first_indexed | 2024-12-21T01:25:15Z |
| format | Article |
| id | doaj.art-7cd93937fb3e425a88e0f3f3d385a92c |
| institution | Directory Open Access Journal |
| issn | 0134-2452 2412-6179 |
| language | English |
| last_indexed | 2024-12-21T01:25:15Z |
| publishDate | 2019-04-01 |
| publisher | Samara National Research University |
| record_format | Article |
| series | Компьютерная оптика |
| spelling | doaj.art-7cd93937fb3e425a88e0f3f3d385a92c2022-12-21T19:20:32ZengSamara National Research UniversityКомпьютерная оптика0134-24522412-61792019-04-0143215916710.18287/2412-6179-2019-43-2-159-167Catastrophe theory and caustics of radially symmetric beamsSergey Kharitonov0Sergey Volotovsky1Svetlana Khonina2IPSI RAS – Branch of the FSRC “Crystallography and Photonics” RAS, Molodogvardeyskaya 151, Samara, Russia, Samara National Research University, Moskovskoye shosse, 34, Samara, RussiaIPSI RAS – Branch of the FSRC “Crystallography and Photonics” RAS, Molodogvardeyskaya 151, Samara, RussiaIPSI RAS – Branch of the FSRC “Crystallography and Photonics” RAS, Molodogvardeyskaya 151, Samara, Russia, Samara National Research University, Moskovskoye shosse, 34, Samara, RussiaThe work is devoted to the study of the caustics of radial beams. Analytical expressions for caustic surfaces of wave fronts created by radially symmetric diffractive optical elements are found. The result is presented in a curvilinear coordinate system consistent with the caustic surface. An asymptotic representation of the Kirchhoff integral near the optical axis is obtained, ensuring the correct calculations in the non-paraxial case.http://computeroptics.ru/KO/PDF/KO43-2/430201.pdfcatastrophe theorycausticsradially symmetric beamsasymptotic representation of the Kirchhoff integral |
| spellingShingle | Sergey Kharitonov Sergey Volotovsky Svetlana Khonina Catastrophe theory and caustics of radially symmetric beams Компьютерная оптика catastrophe theory caustics radially symmetric beams asymptotic representation of the Kirchhoff integral |
| title | Catastrophe theory and caustics of radially symmetric beams |
| title_full | Catastrophe theory and caustics of radially symmetric beams |
| title_fullStr | Catastrophe theory and caustics of radially symmetric beams |
| title_full_unstemmed | Catastrophe theory and caustics of radially symmetric beams |
| title_short | Catastrophe theory and caustics of radially symmetric beams |
| title_sort | catastrophe theory and caustics of radially symmetric beams |
| topic | catastrophe theory caustics radially symmetric beams asymptotic representation of the Kirchhoff integral |
| url | http://computeroptics.ru/KO/PDF/KO43-2/430201.pdf |
| work_keys_str_mv | AT sergeykharitonov catastrophetheoryandcausticsofradiallysymmetricbeams AT sergeyvolotovsky catastrophetheoryandcausticsofradiallysymmetricbeams AT svetlanakhonina catastrophetheoryandcausticsofradiallysymmetricbeams |