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arXiv 1210.7293gr-qcastro-ph.IM
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引力波干涉仪中的蠕变事件和蠕变噪声:基本形式和稳态极限

Creep events and creep noise in gravitational-wave interferometers: basic formalism and stationary limit

Yuri Levin

摘要:

在引力波干涉仪中,测试质量悬挂在经受相当大的张应力的细纤维上。悬浮光纤中突然的微观应力释放,我称之为“蠕变事件”,将激发测试质量的运动,这将耦合到干涉仪的读数。由于蠕变事件的时间序列引起的随机试验质量运动被称为“蠕变噪声”。在本文中,我提出了一个弹性动力学计算的测试质量运动由于蠕变事件。我表明,在一个简单的悬浮模型,主要耦合到光学读出发生通过一个“直流”的测试质量的水平位移,和小提琴和钟摆模式的激励的组合,而不是,如前所述,通过延长的纤维。当蠕变事件发生的频率足够高并且统计量与时间无关时,蠕变噪声可以很好地近似为平稳的高斯随机过程。我推导出的蠕变噪声谱密度的函数形式,在此限制,与限制性的假设,蠕变事件是统计上相互独立。

英文摘要:

In gravitational-wave interferometers, test masses are suspended on thin fibers which experience considerable tension stress. Sudden microscopic stress release in a suspension fiber, which I call a 'creep event', would excite motion of the test mass that would be coupled to the interferometer's readout. The random test-mass motion due to a time-sequence of creep events is referred to as 'creep noise'. In this paper I present an elasto-dynamic calculation for the test-mass motion due to a creep event. I show that within a simple suspension model, the main coupling to the optical readout occurs via a combination of a "dc" horizontal displacement of the test mass, and excitation of the violin and pendulum modes, and not, as was thought previously, via lengthening of the fiber. When the creep events occur sufficiently frequently and their statistics is time-independent, the creep noise can be well-approximated by a stationary Gaussian random process. I derive the functional form of the creep noise spectral density in this limit, with the restrictive assumption that the creep events are statistically independent from each other.

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