{"title":"瓦维洛夫-切伦科夫辐射和突变理论","authors":"L. Krupa","doi":"10.1016/j.rinp.2025.108427","DOIUrl":null,"url":null,"abstract":"<div><div>The problem of the Vavilov-Cherenkov radiation arising at an arbitrary motion of a charged particle in a transparent isotropic medium is studied. The generalised Tamm-Frank condition for the appearance of radiation is derived. Using the catastrophe theory, the existence of a new type of radiation, the cuspoid Vavilov-Cherenkov radiation, is predicted, which is more intense than the ordinary Vavilov-Cherenkov radiation. The condition for the appearance of this new radiation is derived. The realisation of fold catastrophe A<sub>2</sub> and boundary catastrophe B<sub>2</sub> in electromagnetic radiation have been studied in more detail in the case of the rectilinear motion of a charged particle.</div></div>","PeriodicalId":21042,"journal":{"name":"Results in Physics","volume":"77 ","pages":"Article 108427"},"PeriodicalIF":4.6000,"publicationDate":"2025-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Vavilov-Cherenkov radiation and catastrophe theory\",\"authors\":\"L. Krupa\",\"doi\":\"10.1016/j.rinp.2025.108427\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>The problem of the Vavilov-Cherenkov radiation arising at an arbitrary motion of a charged particle in a transparent isotropic medium is studied. The generalised Tamm-Frank condition for the appearance of radiation is derived. Using the catastrophe theory, the existence of a new type of radiation, the cuspoid Vavilov-Cherenkov radiation, is predicted, which is more intense than the ordinary Vavilov-Cherenkov radiation. The condition for the appearance of this new radiation is derived. The realisation of fold catastrophe A<sub>2</sub> and boundary catastrophe B<sub>2</sub> in electromagnetic radiation have been studied in more detail in the case of the rectilinear motion of a charged particle.</div></div>\",\"PeriodicalId\":21042,\"journal\":{\"name\":\"Results in Physics\",\"volume\":\"77 \",\"pages\":\"Article 108427\"},\"PeriodicalIF\":4.6000,\"publicationDate\":\"2025-09-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Results in Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2211379725003213\",\"RegionNum\":2,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATERIALS SCIENCE, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Results in Physics","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2211379725003213","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, MULTIDISCIPLINARY","Score":null,"Total":0}
Vavilov-Cherenkov radiation and catastrophe theory
The problem of the Vavilov-Cherenkov radiation arising at an arbitrary motion of a charged particle in a transparent isotropic medium is studied. The generalised Tamm-Frank condition for the appearance of radiation is derived. Using the catastrophe theory, the existence of a new type of radiation, the cuspoid Vavilov-Cherenkov radiation, is predicted, which is more intense than the ordinary Vavilov-Cherenkov radiation. The condition for the appearance of this new radiation is derived. The realisation of fold catastrophe A2 and boundary catastrophe B2 in electromagnetic radiation have been studied in more detail in the case of the rectilinear motion of a charged particle.
Results in PhysicsMATERIALS SCIENCE, MULTIDISCIPLINARYPHYSIC-PHYSICS, MULTIDISCIPLINARY
CiteScore
8.70
自引率
9.40%
发文量
754
审稿时长
50 days
期刊介绍:
Results in Physics is an open access journal offering authors the opportunity to publish in all fundamental and interdisciplinary areas of physics, materials science, and applied physics. Papers of a theoretical, computational, and experimental nature are all welcome. Results in Physics accepts papers that are scientifically sound, technically correct and provide valuable new knowledge to the physics community. Topics such as three-dimensional flow and magnetohydrodynamics are not within the scope of Results in Physics.
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3. Letters to the Editor: Letters discussing a recent article published in Results in Physics are welcome. These are objective, constructive, or educational critiques of papers published in Results in Physics. Accepted letters will be sent to the author of the original paper for a response. Each letter and response is published together. Letters should be received within 8 weeks of the article''s publication. They should not exceed 750 words of text and 10 references.