相对论磁化等离子体中的极化转移
Polarization transfer in relativistic magnetized plasmas
摘要：
导出了相对论磁化等离子体的极化传递系数。这些结果适用于粒子的任何动量分布函数，各向同性或各向异性。粒子与辐射的相互作用要么在辐射的频率超过其特征同步辐射频率时以非共振模式进行，要么以准共振模式进行。这两类粒子对偏振传递系数的贡献不同。对于一个给定的频率，这种二分法对应于政权的变化，在粒子的人口参数的转移系数的依赖性。的传递系数的推导涉及到的相对论磁化等离子体的电导率张量，迄今尚未使用在这方面的确切表达。在大于回旋频率的频率下有效的适当展开允许我们在相对论性陀螺频率的高次谐波下对所有谐振进行分析求和。传递系数以双变量积分的形式表示，对于任意参数集，可以通过使用高阶贝塞尔函数的Olver展开来方便地计算。我们列举了我们的结果，一些分布函数，各向同性，热或幂律，具有不同的多极各向异性的低阶，或强波束。对于各向同性分布，法拉第系数的形式表示的一个变量的正交能量，我们提供的内核在高频极限和渐近低频极限。一个类似的减少到一个变量的正交能量在高频率的各向异性分布函数，可以形成一个基础上，任何顺利的各向异性分布可以扩展的一大类。
英文摘要：
The polarization transfer coefficients of a relativistic magnetized plasma are derived. These results apply to any momentum distribution function of the particles, isotropic or anisotropic. Particles interact with the radiation either in a non resonant mode when the frequency of the radiation exceeds their characteristic synchrotron emission frequency, or quasi resonantly otherwise. These two classes of particles contribute differently to the polarization transfer coefficients. For a given frequency, this dichotomy corresponds to a regime change in the dependence of the transfer coefficients on the parameters of the particle s population. The derivation of the transfer coefficients involves an exact expression of the conductivity tensor of the relativistic magnetized plasma that has not been used hitherto in this context. Suitable expansions valid at frequencies larger than the cyclotron frequency allow us to analytically perform the summation over all resonances at high harmonics of the relativistic gyrofrequency. The transfer coefficients are represented in the form of two variable integrals that can be conveniently computed for any set of parameters by using Olver s expansion of high order Bessel functions. We particularize our results to a number of distribution functions, isotropic, thermal or powerlaw, with different multipolar anisotropies of low order, or strongly beamed. For isotropic distributions, the Faraday coefficients are expressed in the form of a one variable quadrature over energy, for which we provide the kernels in the high-frequency limit and in the asymptotic low-frequency limit. A similar reduction to a one-variable quadrature over energy is derived at high frequency for a large class of anisotropic distribution functions that may form a basis on which any smoothly anisotropic distribution could be expanded.
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