Space-charge effects and gain in Cherenkov free-electron lasers

Fares, Hesham

doi:10.1016/j.nima.2014.11.024

Cited by 2 publications

(1 citation statement)

References 37 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Detailed discussions on how to take into count the space charge effects can be found in Refs. [25,31].…”

Section: Equation For Evolution Of the Em Wavementioning

confidence: 99%

A quantum mechanical analysis of Smith–Purcell free-electron lasers

Fares¹,

Yamada²

2015

Nuclear Instruments and Methods in Physics Research Section A:

Self Cite

View full text Add to dashboard Cite

The paper presents a quantum mechanical treatment for analyzing the Smith−Purcell radiation generated by charged particles passing over a periodic conducting structure. In our theoretical model, the electrons interact with a surface harmonic wave excited near the diffraction grating when the electron velocity is almost equal to the phase velocity of the surface wave. Then, the surface harmonic wave is electromagnetically coupled to a radiation mode. The dynamics of electrons is analyzed quantum mechanically where the electron is represented as a traveling electron wave with a finite spreading length. The conversion of the surface wave into a propagating mode is analyzed using the classical Maxwell's equations. In the small−signal gain regime, closed−form expressions for the contributions of the stimulated and spontaneous emissions to the evolution of the surface wave are derived. The inclusion of the spreading length of the electron wave to the emission spectral line is investigated. Finally, we compare our results based on the quantum mechanical description of electron and those based on the classical approach where a good agreement is confirmed.

show abstract

“…Detailed discussions on how to take into count the space charge effects can be found in Refs. [25,31].…”

Section: Equation For Evolution Of the Em Wavementioning

confidence: 99%