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Absolute-length determination of a long-baseline Fabry-Perot cavity by means of resonating modulation sidebands

机译：共振调制边带确定长基线法布里-珀罗腔的绝对长度

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摘要

A new method has been demonstrated for absolute-length measurements of a long-baseline Fabry-Perot cavity by use of phase-modulated light. This method is based on determination of a free spectral range (FSR) of the cavity from the frequency difference between a carrier and phase-modulation sidebands, both of which resonate in the cavity. Sensitive response of the Fabry-Perot cavity near resonant frequencies ensures accurate determination of the FSR and thus of the absolute length of the cavity. This method was applied to a 300-m Fabry-Perot cavity of the TAMA gravitational wave detector that is being developed at the National Astronomical Observatory, Tokyo. With a modulation frequency of ～ 12 MHz, we successfully determined the absolute cavity length with resolution of 1 μm (3 x 10~(-9) in strain) and observed local ground strain variations of 6 × 10~(-8).
机译：已经证明了一种新的方法，该方法通过使用调相光来测量长基线法布里-珀罗腔的绝对长度。该方法基于从载波和相位调制边带之间的频率差确定空腔的自由光谱范围（FSR），两者在空腔中产生共振。法布里-珀罗谐振腔在谐振频率附近的敏感响应可确保对FSR的准确确定，从而可确定谐振腔的绝对长度。该方法被应用于东京国立天文台正在研发的TAMA重力波探测器的300米法布里-珀罗腔中。以〜12 MHz的调制频率，我们成功地确定了绝对腔长，分辨率为1μm（应变为3 x 10〜（-9）），并观察到了6×10〜（-8）的局部地面应变变化。

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