Quantum Mechanical Analysis of the Compton Scattering Based on Electron Wave Model

Fares, Hesham; Yamada, Minoru; Ohmi, K.

doi:10.1109/jqe.2013.2282821

Cited by 3 publications

(2 citation statements)

References 34 publications

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“…The theoretical analysis was performed basing on the density matrix formalism which is a quantum statistical treatment [24]− [26]. In the theoretical model of [23,27,28], the electron is represented by an electron wave with a finite spreading length.…”

Section: Many Theoretical Analyses Have Been Developed To Analyze Thementioning

confidence: 99%

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

Fares¹,

Yamada²

2015

Nuclear Instruments and Methods in Physics Research Section A:

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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.

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Section: Many Theoretical Analyses Have Been Developed To Analyze Thementioning

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

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“…The method of frame transformation had been used to study the radiation growth characteristics in the undulator FEL [23,24]. Also, the moving frame is proved very useful in analyzing the operation of the Compton scattering [25].…”

Section: Basic Formulas In the Moving Framementioning

confidence: 99%