scholarly journals Completing the Liénard-Wiechert potentials: The origin of the delta function fields for a charged particle in hyperbolic motion

2015 ◽  
Vol 83 (4) ◽  
pp. 349-352 ◽  
Author(s):  
Daniel J. Cross
Keyword(s):  
Charged Particle ◽  
Function Fields ◽  
Delta Function ◽  
Hyperbolic Motion

scholarly journals The fields of a charged particle in hyperbolic motion

2014 ◽  
Vol 82 (8) ◽  
pp. 755-763 ◽  
Author(s):  
Joel Franklin ◽  
David J. Griffiths
Keyword(s):  
Charged Particle ◽  
Hyperbolic Motion

scholarly journals CONSTRUCTION OF ASYMPTOTIC FIELDS FOR A CHARGED PARTICLE

2012 ◽  
Vol 27 (23) ◽  
pp. 1250133 ◽  
Author(s):  
O. W. GREENBERG ◽  
STEVE COWEN
Keyword(s):  
Charged Particle ◽  
Momentum Space ◽  
Quantum Electrodynamics ◽  
Delta Function ◽  
Matrix Elements ◽  
Massless Particles ◽  
Principal Value ◽  
Asymptotic Fields

Asymptotic fields do not exist in theories with massless particles and fields, because the vacuum matrix elements of products of the interacting fields in such theories do not have delta function or principal value singularities in momentum space. We remedy this problem by constructing a field for the charged particle that does have the required singularities in momentum space. We illustrate this construction in quantum electrodynamics (QED).

Radiation of Charge Moving Between Two Planar Periodic Wire Structures

2020 ◽  
Vol 23 (1) ◽  
pp. 66-71
Author(s):  
E. A. Gurnevich ◽  
I. V. Moroz
Keyword(s):  
Angular Distribution ◽  
Charged Particle ◽  
Research And Development ◽  
High Power ◽  
Free Electron ◽  
Radiation Intensity ◽  
Free Electron Lasers ◽  
Radiation Sources ◽  
Power Radiation ◽  
High Power Radiation

The Smith-Purcell radiation of a charged particle moving in a periodic structure is analysed theoretically. The considered structure consists of two planar diffraction gratings with different periods which are formed by parallel conducting wires. The analytical expression for the spectral-angular distribution of radiation is obtained. It is shown that the angular distribution of radiation can be made narrower by using two gratings instead of one, and radiation intensity can be manipulated by parallel relative shift of gratings. The obtained results are of great importance for the research and development of high power radiation sources based on volume free-electron lasers.

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