Vavilov-Cherenkov radiation and catastrophe theory
- NázevTitle
- Vavilov-Cherenkov radiation and catastrophe theoryVavilov-Cherenkov radiation and catastrophe theory
- Druh výsledkuResult type
- Článek v časopiseJournal article
- AutořiAuthors
- Ľ. Krupa
- DOIDOI
- 10.1016/j.rinp.2025.108427
- Časopis / citaceJournal / citation
- Results in Physics. 2025, 77 1-18. ISSN 2211-3797.
- RokYear
- 2025
- JazykLanguage
- eng
- ScopusScopus
- 2-s2.0-105016602156
- RIVRIV
- RIV/68407700:21670/25:00385897!RIV26-MSM-21670___
- ProjektProject
- Institucionální podpora na rozvoj výzkumné org.Institucionální podpora na rozvoj výzkumné org.
AbstraktAbstract
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.
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.