Model of thermal wave-front distortion in interferometric gravitational- wave detectors. I. Thermal focusing

Model of thermal wave-front distortion in interferometric gravitational- wave detectors. I. Thermal focusing
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干涉引力波探测器中的热波前畸变模型。

DOI:
10.1364/josab.20.001247
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发表时间:
2002
影响因子:
1.9
通讯作者:
Jordan Camp
Jordan Camp
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
R. Beausoleil;E. Gustafson;M. Fejer;E. D'ambrosio;W. Kells;Jordan Camp

文献摘要

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我们开发了一个稳态的分析和数值模型的光学响应的功率回收法布里-珀罗迈克尔逊激光引力波探测器的光学基板中的非线性热聚焦。我们假设热畸变足够小,我们可以表示所有的腔内场的线性组合的基函数从本征模的法布里-珀罗臂腔。我们已经包括在光学基板和涂层,激光波前和镜面曲率之间的失配,孔径衍射的功率吸收的影响。我们演示了一个详细的数值例子,这个模型使用MATLAB程序旋律的初始激光干涉引力波天文台探测器。
We develop a steady-state analytical and numerical model of the optical response of power-recycled Fabry-Perot Michelson laser gravitational-wave detectors to nonlinear thermal focusing in optical substrates. We assume that the thermal distortions are small enough that we can represent all intracavity fields as linear combinations of basis functions derived from the eigenmodes of a Fabry-Perot arm cavity. We have included the effects of power absorption in optical substrates and coatings, mismatches between laser wave-front and mirror surface curvatures, and aperture diffraction. We demonstrate a detailed numerical example of this model using the MATLAB program Melody for the initial Laser Interferometer Gravitational Wave Observatory detector.