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在Pound-Drever-Hall激光稳频方法中,有限元分析被广泛地用于优化光腔的加速度敏感度。在对腔体支撑进行建模时通常采用两种方式,即直接在腔体表面上取几块小区域进行约束或者使用刚性材料作为支撑。这里将有限元分析应用于更接近实际情况的采用软性材料支撑的腔体。采用软性材料支撑时,腔体受力后会出现较大的整体转动,干扰了腔长变化的计算。为此引入一种旋转坐标系的方法,该方法能够扣除掉腔体的整体转动效应。分析了一种软性材料支撑的长方体腔的加速度敏感度,并将之与直接在腔体表面上取几块小区域进行约束时的结果进行了比较,发现两者存在一定的差异。讨论了采用软性材料支撑时摩擦系数的设定和相应的支撑结构的建模方式。
In the Pound-Drever-Hall laser frequency stabilization method, finite element analysis is widely used to optimize the acceleration sensitivity of the optical cavity. There are usually two ways to model the cavity support: just take a few small areas directly on the surface of the cavity for restraint or use rigid materials as a support. Here finite element analysis is applied to a more realistic case of soft material supported by the cavity. When soft material is used, the larger overall rotation will occur after the cavity is stressed, which will interfere with the calculation of cavity length variation. To this end, a method of rotating the coordinate system is introduced, which can deduct the overall rotation effect of the cavity. The acceleration sensitivity of a rectangular parallelepiped supported by a soft material is analyzed and compared with the results obtained when several small areas are constrained directly on the cavity surface. The results show that there is a certain difference between them. The setting of friction coefficient and the corresponding mode of support structure modeling when using soft material support are discussed.