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首页> 外文期刊>Physics - Uspekhi >Sagnac effect in ring lasers and ring resonators. How does the refractive index of the optical medium influence the sensitivity to rotation?
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Sagnac effect in ring lasers and ring resonators. How does the refractive index of the optical medium influence the sensitivity to rotation?

机译：环形激光器和环形谐振器中的Sagnac效应。光学介质的折射率如何影响旋转灵敏度？

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摘要

The Sagnac effect in a ring laser (RL) results in a frequency difference of counterpropagating waves that is pro- portional to the RL angular rotation rate. We address the question of how an optical medium filling the whole RL or a part of it influences the frequency difference of counterpropa- gating waves. While the formulas for this difference in a rotat- ing RL abound in the literature, there is no agreement among them as to whether the medium increases or decreases this difference or indeed leaves it unchanged. Nor do the available (and often contradictory) experimental data fully clarify the situation. Because the Sagnac effect is a special relativity effect, the relativistic velocity addition law is used here to calculate the frequency difference of counterpropagating waves in an RL. When a homogeneous optical medium fills the entire perimeter of the resonator of a rotating RL, we show that the frequency difference of counterpropagating waves is inver- sely proportional to the refractive index of the medium. The results obtained can also be used to calculate the difference between the resonant frequencies of counterpropagating waves in rotating ring resonators in the presence of an optical medium.
机译：环形激光器（RL）中的Sagnac效应导致反向传播波的频率差与RL角转速成正比。我们解决了一个问题，即填充整个RL或其中一部分RL的光学介质如何影响反向传播波的频率差。尽管文献中关于旋转RL的这种差异的公式比比皆是，但它们之间在介质是增​​加还是减小这种差异还是保持不变方面没有一致意见。现有的（通常是相互矛盾的）实验数据也无法完全阐明情况。由于Sagnac效应是一种特殊的相对论效应，因此这里使用相对论速度加法则来计算RL中反向传播波的频率差。当均匀的光学介质充满旋转的RL的谐振器的整个周长时，我们表明反向传播波的频率差实际上与介质的折射率成正比。获得的结果还可以用于计算在存在光学介质的情况下旋转环形谐振器中反向传播波的谐振频率之间的差异。

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