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arXiv physics/0105070physics.opticsgr-qcphysics.ins-det
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悬置反射镜法布里-珀罗腔中场的多普勒诱导动力学

Doppler-Induced Dynamics of Fields in Fabry-Perot Cavities with Suspended Mirrors

Malik Rakhmanov

摘要:

分析了悬置反射镜法布里-珀罗腔中的多普勒效应。多普勒频移非常小,在腔中积累,如果腔的精细度高或长度大,则多普勒频移与腔的线宽相当或大于腔的线宽。结果,当其中一个反射镜通过谐振位置时,腔场发生阻尼振荡。推导了该瞬态的计算公式。结果表明,振荡的频率等于累积多普勒频移,振荡的弛豫时间等于腔的存储时间。比较预测和测量的多普勒频移进行了讨论,和应用的解析解测量的镜子速度。

英文摘要:

The Doppler effect in Fabry-Perot cavities with suspended mirrors is analyzed. Intrinsically small, the Doppler shift accumulates in the cavity and becomes comparable to or greater than the line-width of the cavity if its finesse is high or its length is large. As a result, damped oscillations of the cavity field occur when one of the mirrors passes a resonance position. A formula for this transient is derived. It is shown that the frequency of the oscillations is equal to the accumulated Doppler shift and the relaxation time of the oscillations is equal to the storage time of the cavity. Comparison of the predicted and the measured Doppler shift is discussed, and application of the analytical solution for measurement of the mirror velocity is described.

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