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中国物理学会期刊

弯轨Čerenkov辐射计算中的稳相法

CSTR: 32037.14.aps.62.104103

Stationary phase method of calculating Čerenkov radiation spectrum of a charged particle moving in curved path

CSTR: 32037.14.aps.62.104103
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  • 从介质中沿弯曲轨道运动的带电粒子辐射的频谱角分布公式出发, 分析了粒子速度大于介质中的光速时, 稳相点在Čerenkov效应中所起的关键作用, 并给出了通过在稳相点附近做渐近展开来计算弯轨Čerenkov辐射的稳相法. 运用稳相法, 计算了同步Čerenkov辐射在粒子轨道平面附近以及在临界角附近的频谱角分布. 计算结果表明, 同步Čerenkov辐射频谱的特征依赖于观测方向附近对应的稳相点性状, 特别是在较大的临界角附近的频谱与小角度近似时很不相同.

     

    Based on the general expression for spectral-angular distribution of the radiation emitted by a charged particle moving in exterior medium, the essential role of stationary phase points in Čerenkov effect is investigated. And the stationary phase method of calculating spectral-angular distribution of Čerenkov radiation from a charged particle moving in curved path is proposed. By the stationary phase method, the asymptotic form of spectral-angular distribution of synchrotron-Čerenkov radiation is calculated, and the result indicates that the spectrum of synchrotron-Čerenkov radiation near critical angle c is quite different from that near the plane of particle's orbit.

     

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