Comparison of geometric optics and «aperture» methods for calculation of the electromagnetic radiation caused by charged particles flying by dielectric objects
Calculation of the electromagnetic field exited by a charged particle flying close to dielectric object is one of the important problems of charged particle radiation theory. In some cases, geometric optics area is preferable for calculations. In the article, two methods of solution of such problem...
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| Format: | Article |
| Language: | English |
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Povolzhskiy State University of Telecommunications & Informatics
2023-03-01
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| Series: | Физика волновых процессов и радиотехнические системы |
| Subjects: | |
| Online Access: | https://journals.ssau.ru/pwp/article/viewFile/16927/9476 |
| _version_ | 1797382584910479360 |
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| author | Ekaterina S. Belonogaya Dmitriy S. Klyuev |
| author_facet | Ekaterina S. Belonogaya Dmitriy S. Klyuev |
| author_sort | Ekaterina S. Belonogaya |
| collection | DOAJ |
| description | Calculation of the electromagnetic field exited by a charged particle flying close to dielectric object is one of the important problems of charged particle radiation theory. In some cases, geometric optics area is preferable for calculations. In the article, two methods of solution of such problem with dielectric prism possessing large size (in comparison with the wavelength under consideration) are considered. One of them is based on geometric optics method, another one is based on asymptotics of aperture integrals. It is shown that, in geometric optics area, the first method has a series of advantages. For example, ray tube cross-section expression obtained within geometric optics method allows one to find caustics or to show their abscence, which is demonstrated in the article for three objects of various shapes. |
| first_indexed | 2024-03-08T21:07:34Z |
| format | Article |
| id | doaj.art-8f6643136a2c47599f6e89c426d1ac2b |
| institution | Directory Open Access Journal |
| issn | 1810-3189 2782-294X |
| language | English |
| last_indexed | 2024-03-08T21:07:34Z |
| publishDate | 2023-03-01 |
| publisher | Povolzhskiy State University of Telecommunications & Informatics |
| record_format | Article |
| series | Физика волновых процессов и радиотехнические системы |
| spelling | doaj.art-8f6643136a2c47599f6e89c426d1ac2b2023-12-22T10:31:41ZengPovolzhskiy State University of Telecommunications & InformaticsФизика волновых процессов и радиотехнические системы1810-31892782-294X2023-03-01261495710.18469/1810-3189.2023.26.1.49-578813Comparison of geometric optics and «aperture» methods for calculation of the electromagnetic radiation caused by charged particles flying by dielectric objectsEkaterina S. Belonogaya0https://orcid.org/0000-0003-0557-1710Dmitriy S. Klyuev1https://orcid.org/0000-0002-9125-7076Saint Petersburg UniversityPovolzhskiy State University of Telecommunications and InformaticsCalculation of the electromagnetic field exited by a charged particle flying close to dielectric object is one of the important problems of charged particle radiation theory. In some cases, geometric optics area is preferable for calculations. In the article, two methods of solution of such problem with dielectric prism possessing large size (in comparison with the wavelength under consideration) are considered. One of them is based on geometric optics method, another one is based on asymptotics of aperture integrals. It is shown that, in geometric optics area, the first method has a series of advantages. For example, ray tube cross-section expression obtained within geometric optics method allows one to find caustics or to show their abscence, which is demonstrated in the article for three objects of various shapes.https://journals.ssau.ru/pwp/article/viewFile/16927/9476cherenkov radiationgeometric opticsstationary phase methodray tubecaustics |
| spellingShingle | Ekaterina S. Belonogaya Dmitriy S. Klyuev Comparison of geometric optics and «aperture» methods for calculation of the electromagnetic radiation caused by charged particles flying by dielectric objects Физика волновых процессов и радиотехнические системы cherenkov radiation geometric optics stationary phase method ray tube caustics |
| title | Comparison of geometric optics and «aperture» methods for calculation of the electromagnetic radiation caused by charged particles flying by dielectric objects |
| title_full | Comparison of geometric optics and «aperture» methods for calculation of the electromagnetic radiation caused by charged particles flying by dielectric objects |
| title_fullStr | Comparison of geometric optics and «aperture» methods for calculation of the electromagnetic radiation caused by charged particles flying by dielectric objects |
| title_full_unstemmed | Comparison of geometric optics and «aperture» methods for calculation of the electromagnetic radiation caused by charged particles flying by dielectric objects |
| title_short | Comparison of geometric optics and «aperture» methods for calculation of the electromagnetic radiation caused by charged particles flying by dielectric objects |
| title_sort | comparison of geometric optics and aperture methods for calculation of the electromagnetic radiation caused by charged particles flying by dielectric objects |
| topic | cherenkov radiation geometric optics stationary phase method ray tube caustics |
| url | https://journals.ssau.ru/pwp/article/viewFile/16927/9476 |
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