Schenberg球形引力波谐振天线的设计应变灵敏度
The Design Strain Sensitivity of the Schenberg Spherical Resonant Antenna for Gravitational Waves
AI总结：
本研究重新审查Schenberg球形谐振引力波天线的传递函数并计算其设计应变灵敏度，发现其极限灵敏度受限于标准量子极限，指出重启该天线需依赖谐振质量吸收引力波能量的独特物理原理。
摘要：
本研究的主要目的是审查Schenberg谐振天线的传递函数，并重新计算其引力波设计应变灵敏度。我们考虑了在半十二面体构型下配置六个换能器的球形天线。与天线耦合时，换能器-球体系统将作为具有三个质量的质量-弹簧系统运行。第一个质量是每个四极模式的天线有效质量，第二个是换能器第一机械模式机械结构的质量，第三个是构成换能器微波腔壁之一的换能器膜片的有效质量。所有计算均针对简并（所有球体四极模式频率相等）和非简并球体情况进行。我们得出结论，先进版Schenberg天线（aSchenberg）的“极限”灵敏度在标准量子极限附近（尽管所用的参数换能器原则上可能超越该极限）。然而，在Schenberg的工作频段内，两台aLIGO在O3运行期间已达到此灵敏度，因此，重新组装Schenberg天线并试图使其达到标准量子极限灵敏度的唯一合理理由，将是利用不同于激光干涉仪的另一种物理原理来探测引力波。这另一种物理原理即是像Schenberg这样的谐振质量对引力波能量的吸收。
英文摘要：
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.
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