线加速度辐射：1大振幅静电波中的运动
Linear acceleration emission: 1 Motion in a large amplitude electrostatic wave
摘要：
本文研究了脉冲星磁层振荡模型中电荷在三角形大振幅静电波中的运动。粒子在这种波中的（一维）轨道可以精确地用维尔斯特拉斯函数来表示。结果被用来讨论线性加速度发射（在低和高频率）的振荡模型的电子枪。在随附的论文（Melrose & Luo 2009）中导出了发射率的显式表达式，并在此处用于导出低频下吸收系数的表达式。我们发现吸收可以是负的，对应于脉泽发射。在振荡模型中，由于激发电子对产生所需的振幅很大，脉泽增长的速率太小而不起作用。有效的增长需要较小的振幅，因此波中加速获得的最大洛伦兹因子为$\lapprox10$。
英文摘要：
We consider the motion of a charge in a large amplitude electrostatic wave with a triangular wave form relevant to an oscillating model of a pulsar magnetosphere. The (one-dimensional) orbit of a particle in such a wave is found exactly in terms of Weierstrass functions. The result is used to discuss linear acceleration emission (at both low and high frequencies) in an oscillating model for pulsars. An explicit expression for the emissivity is derived in an accompanying paper (Melrose & Luo 2009), and used here to derive an expression for the absorption coefficient at low frequencies. We show that absorption can be negative, corresponding to maser emission. For the large amplitude required to trigger pair creation in an oscillating model, the rate of the maser growth is too small to be effective. Effective growth requires smaller amplitudes, such that the maximum Lorentz factor gained by acceleration in the wave is $\lapprox10$.
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