标题： Schenberg球形共振天线的设计应变灵敏度 显示英文标题

标题： The Design Strain Sensitivity of the Schenberg Spherical Resonant Antenna for Gravitational Waves

摘要： 本研究的主要目的是回顾Schenberg共振天线的传递函数，并重新计算天线对引力波的设计应变灵敏度。 我们考虑了六种换能器在半十二面体配置中的球形天线。 当与天线耦合时，换能器-球系统将作为具有三个质量的质量-弹簧系统。 第一个是每个四极子模式的天线有效质量，第二个是换能器第一机械模式的机械结构质量，第三个是构成换能器微波腔壁的换能器膜的有效质量。 所有的计算都是针对简并（所有球体四极子模式频率相等）和非简并球体情况进行的。 我们得出结论，Schenberg天线的改进版本（aSchenberg）的“最终”灵敏度大约处于标准量子极限（尽管所使用的参数换能器原则上可以超越这一极限）。 然而，在Schenberg运行的频率范围内，这种灵敏度已经在O3运行中由两个aLIGOs实现了，因此，重新安装Schenberg天线并尝试将其置于标准量子极限灵敏度的唯一合理理由是通过不同于激光干涉仪所使用的物理原理来探测引力波。 这种其他物理原理将是通过类似Schenberg的共振质量吸收引力波能量。 显示英文摘要

摘要： The main purpose of this study is to review the Schenberg resonant antenna transfer function and to recalculate the antenna design strain sensitivity for gravitational waves. We consider the spherical antenna with six transducers in the semi dodecahedral configuration. When coupled to the antenna, the transducer-sphere system will work as a mass-spring system with three masses. The first one is the antenna effective mass for each quadrupole mode, the second one is the mass of the mechanical structure of the transducer first mechanical mode and the third one is the effective mass of the transducer membrane that makes one of the transducer microwave cavity walls. All the calculations are done for the degenerate (all the sphere quadrupole mode frequencies equal) and non-degenerate sphere cases. We have come to the conclusion that the 'ultimate' sensitivity of an advanced version of Schenberg antenna (aSchenberg) is around the standard quantum limit (although the parametric transducers used could, in principle, surpass this limit). However, this sensitivity, in the frequency range where Schenberg operates, has already been achieved by the two aLIGOs in the O3 run, therefore, the only reasonable justification for remounting the Schenberg antenna and trying to place it in the sensitivity of the standard quantum limit would be to detect gravitational waves with another physical principle, different from the one used by laser interferometers. This other physical principle would be the absorption of the gravitational wave energy by a resonant mass like Schenberg.