Integral method to study transition radiation from surfaces with arbitrary profile
Author(s) -
Yoshitate Takakura,
Olivier Haeberlé
Publication year - 2000
Publication title -
physical review. e, statistical physics, plasmas, fluids, and related interdisciplinary topics
Language(s) - English
Resource type - Journals
eISSN - 1095-3787
pISSN - 1063-651X
DOI - 10.1103/physreve.61.4441
Subject(s) - transition radiation , reciprocity (cultural anthropology) , physics , electromagnetism , surface integral , boundary (topology) , electromagnetic field , radiation , electron , fourier transform , representation (politics) , constant (computer programming) , boundary value problem , magnetic field , surface (topology) , mathematical analysis , optics , quantum mechanics , mathematics , integral equation , geometry , computer science , psychology , social psychology , politics , political science , law , programming language
Transition radiation is produced when an electron moving at constant speed crosses the boundary separating two media with different optical properties. We propose an alternative description of this phenomenon, based on an integral representation of the electromagnetic field and show that the approach gives known results for a flat surface. Compared to previously published methods, based either on the reciprocity theorem in electromagnetism or on a four-dimensional Fourier representation of the field generated by the moving electron, this method has the advantage that it can be applied to general boundary geometries.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom