摘要
本论文在相对论性电子辐射的自旋修正和介质效应两个课题上开展工作。作为论文工作的出发点,对电子辐射理论做了介绍,特别是对Jefimenko公式及其在介质状况下的推广形式,以及运动点电荷和偶极子电磁场的Heaviside-Feynman表达式作了综述。计入电子自旋,计算电子辐射的频谱角分布、频率分布、角分布和偏振。根据所得计算结果,考察储存环电子束流极化度与同步辐射光偏振度之间的关系,据此提出一种通过测量辐射光偏振度来得到电子束极化度的方法。从介质中的Maxwell方程组出发,考察介质中运动带电粒子的辐射机制,推导了其辐射频谱角分布的一般公式。对于在介质中超光速运动的带电粒子,分析指出稳定相位点在Cherenkov效应中所起的关键作用,并据此提出稳定相位法,和文献已有工作相比该方法解决本问题具有更大的通用性和应用性。由此计算了同步Cherenkov辐射在小角度以及临界角度处的频谱分布,指出了同步Cherenkov辐射在临界角处的频谱的不同特点。
This dissertation on radiation from a relativistic electron focuses on two topics, the spin modification and the medium effect. As the basis for the investigations, a comprehensive review on the classical radiation theory is made. The Jefimenko formulas and their generalization, as well as Heaviside-Feynman expression for fields generated by moving charge and dipole, are covered. A general expression for the spectral-angular distribution of the radiation energy from a relativistic electron with magnetic moment is obtained. Hence the spectral distribution of radiation in two polarizations from a relativistic synchronous electron is calculated including the modification of electron's magnetic moment. The relationship between the polarizations of the synchronous electrons and the radiation fields, which suggests getting information about spin polarization of electron beam from measuring the polarization of the synchrotron radiation, is provided. The general expression for spectral-angular distribution of the radiation emitted by a charged particle moving in exterior medium is derived from Maxwell equations in medium. On this expression which includes a Fourier type integral, the essential role of stationary phase points in Cherenkov effect is analyzed and stated definitely. Therefore for the calculation of synchrotron-Cherenkov radiation from charged particle moving in curved orbit the stationary phase method is proposed, which is more versatile and applicable compared with the exiting two kinds treatments in literatures. Consequently the spectral distribution of synchrotron-Cherenkov radiation is calculated by stationary phase method, and the result indicates the spectrum of synchrotron-Cherenkov radiation in directions near critical angle is quite different from that in the vicinity of the orbit plane.
引文
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