Electromagnetic radiation and catastrophe theory
Ľuboš Krupa
Faculty of Science of Palacký University Olomouc; IEAP, CTU in Prague
Abstrakt: Over the past two decades, the utilization of different natural materials and metamaterials like negative-index materials, photonic crystals, hyperbolic materials, gradient-index materials, plasmonic metasurfaces etc., has reignited research on Vavilov-Cherenkov radiation (VChR). VChR has been used in various applications, including particle detectors and accelerators, high-power vacuum electronic sources and devices, neutrino detection, astrophysics, applications in biomedicine, medical imaging and so on. Although VChR is one of the most widely studied categories of electromagnetic radiation there is still no theory that would describe VChR for any charge movement in the radiator. The solution of this task was carried out using the catastrophe theory. The generalized Tamm-Frank condition for the appearance of radiation at an arbitrary motion of a charged particle in a transparent isotropic medium was derived. The angular and spectral distribution of the emitted radiation and also equations for total number of photons emitted was derived. The systematic study of electromagnetic radiation from the point of view of differential topology and especially its part of the catastrophe theory led to the discovery of a new type of radiation the so called cuspoid VChR. This radiation can be generated at non constant motion of a charge in a medium and is more intensive than the ordinary VChR. This radiation is a manifestation of elementary catastrophes such as a fold, cusp, swallowtail, butterfly, wigwam etc. in electromagnetic radiation. To demonstrate the main characteristics of the radiation the fold and the cusp catastrophes have been studied in more detail in the case of any motion of a charged particle in a medium.
Seminář se koná v úterý 14. května ve 14:00
v zasedací místnosti ÚTEF ČVUT, Praha 1, Husova 240/5.
| Ing. Bartoloměj Biskup, Ph.D. tajemník semináře |
doc. Ing. Ivan Štekl, CSc. ředitel ÚTEF |
doc. Dr. André Sopczak předseda NPS, ČS IEEE |
NUCLEAR & PLASMA SCIENCES SOCIETY CHAPTER
IEEE Czechoslovakia section
https://www.ieee.cz/main/section/nps/