AI 中文总结
本文提出采用 Halbach 阵列改进磁韦伯棒，利用机械共振器振铃衰减期探测短时长低相干引力波，可达到特定灵敏度，还探讨了升级方案以提升宽带探测灵敏度。
AI 中文摘要
磁韦伯棒已被提出用于搜索 kHz 至 GHz 频段的引力波，其原理是利用引力波引发的大质量磁体的机械形变。本文提出通过采用具有强梯度但场强较低的磁场构型（如 Halbach 阵列）来提升这类装置的效能。我们聚焦于最具挑战性但也最符合实际的信号——短时长、低相干的信号，利用机械共振器的振铃衰减期开展研究。结果表明，采用已验证的技术，该装置在约 10 kHz 的多个共振峰附近的宽频范围内，可达到 $S_h^{1/2} \backsimeq 10^{-21}/\text{Hz}^{1/2}$ 的灵敏度；在更高频率的宽带搜索中，可达到 $S_h^{1/2} \backsimeq 5 \times 10^{-20}/\text{Hz}^{1/2}$ 的灵敏度。我们还探讨了合理的升级方案，旨在实现覆盖 10 kHz - MHz 的宽带搜索中，达到 $S_h^{1/2} \backsimeq (10^{-23} - 10^{-21})/\text{Hz}^{1/2}$ 的灵敏度。
英文摘要
Magnetic Weber Bars have been proposed to search for gravitational waves in the kHz to GHz regime by exploiting the mechanical deformation of a large magnet induced by a gravitational wave. Here we propose to increase the effectiveness of such devices by considering magnetic field configurations with strong gradients, albeit lower field strengths, such as Halbach arrays. We focus on one of the most challenging but most realistic signals, with short duration and low coherence, exploiting the ring-down period of the mechanical resonator. We show that with demonstrated technology this setup can reach sensitivities of $S_h^{1/2} \simeq 10^{-21}/\sqrt{\text{Hz}}$ at a broad set of frequencies around several resonance peaks at $\sim 10$ kHz, and $S_h^{1/2} \simeq 5 \cdot 10^{-20}/\sqrt{\text{Hz}}$ in a broadband search at higher frequencies. We discuss plausible upgrades to reach $S_h^{1/2} \simeq (10^{-23} - 10^{-21})/\sqrt{\text{Hz}}$ in a broadband search covering 10 kHz - MHz.
Comments6 pages + appendices, 5 figures
