Vavilov-Cherenkov radiation and catastrophe theory

IF 4.6 2区物理与天体物理 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Results in Physics Pub Date : 2025-09-12 DOI:10.1016/j.rinp.2025.108427

L. Krupa

引用次数: 0

Abstract

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.

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瓦维洛夫-切伦科夫辐射和突变理论

研究了带电粒子在透明各向同性介质中任意运动时产生的瓦维洛夫-切伦科夫辐射问题。导出了辐射出现的广义tam - frank条件。利用突变理论，预测了一种比普通瓦维洛夫-切伦科夫辐射更强的新型辐射——尖头瓦维洛夫-切伦科夫辐射的存在。导出了这种新辐射出现的条件。在带电粒子直线运动的情况下，对电磁辐射中折叠突变A2和边界突变B2的实现进行了较详细的研究。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Results in Physics MATERIALS SCIENCE, MULTIDISCIPLINARYPHYSIC-PHYSICS, MULTIDISCIPLINARY

CiteScore

8.70

自引率

9.40%

发文量

754

审稿时长

50 days

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