Abstract Studies of the effects of various oscillatory electric fields on hydrogenic spectral lines have a long history. Over the years various effects of a monochromatic linearly-polarized electric field were analyzed and applied to spectroscopic diagnostics of laboratory and astrophysical plasmas. Then in 1996 a paper was published where the author analyzed how profiles of hydrogen spectral lines are affected by a multi-mode non-monochromatic linearly-polarized electric field E(t). Specifically it concerned the situation where the power spectrum of the field E(t) has the Lorentzian form. In the present paper we obtained a general analytical result for the shape of hydrogenic (i.e., hydrogen and hydrogenlike) spectral lines under the same kind of the field E(t), but whose power spectrum has the Gaussian form. We consider this kind of electric field to be caused by the Langmuir turbulence in plasmas. We show that if the power spectrum of the field is Gaussian, then for the relatively small value of the average Langmuir field, the profile of each Stark component is Lorentzian, while for the relatively large value of the average Langmuir field, the profile of each Stark component is Gaussian. We analyze theoretical profiles of the hydrogenic Ly-beta line under the Langmuir field of either one of the above two kinds of the power spectrum. On the basis of this analysis, we propose a new diagnostic method allowing for the first time not only to measure experimentally the average field of the Langmuir turbulence in dense plasmas, but also to find out the information on the power spectrum of the Langmuir turbulence. This diagnostic method is not limited to using the Ly-beta line: it would work while using other intense hydrogenic spectral lines that do not have the central Stark components, such as, e.g., Ly-delta, Balmer-beta, and Balmer-delta.

中文翻译：

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等离子体湍流随机电场下氢谱线的分布：朗缪尔湍流诊断的应用

摘要 各种振荡电场对氢谱线影响的研究历史悠久。多年来，人们对单色线极化电场的各种影响进行了分析，并将其应用于实验室和天体物理等离子体的光谱诊断。然后在 1996 年发表了一篇论文，其中作者分析了多模非单色线极化电场 E(t) 如何影响氢谱线的轮廓。具体而言，它涉及场 E(t) 的功率谱具有洛伦兹形式的情况。在本文中，我们得到了相同类型场E(t)下氢（即氢和类氢）谱线形状的一般解析结果，但其功率谱具有高斯形式。我们认为这种电场是由等离子体中的朗缪尔湍流引起的。我们证明，如果场的功率谱是高斯的，那么对于平均朗缪尔场的相对较小的值，每个斯塔克分量的轮廓都是洛伦兹的，而对于平均朗缪尔场的相对较大的值，每个Stark 分量是高斯的。我们分析了上述两种功率谱中任一种的朗缪尔场下氢 Ly-β 谱线的理论剖面。在此分析的基础上，我们提出了一种新的诊断方法，首次不仅可以通过实验测量稠密等离子体中朗缪尔湍流的平均场，而且还可以找出朗缪尔湍流功率谱的信息。