高精细度悬置光学腔的（几乎）盲锁定算法
(Almost-)blind locking algorithm for high finesse suspended optical cavities
摘要：
悬浮谐振光学腔是几种实验装置的基本构件。一个重要的问题是使它们处于其操作所需的谐振或轻微失谐配置所需的控制策略，即所谓的\textit{ locking}过程。这可以用反馈策略来获得，但是所需的误差信号通常仅在腔接近谐振时才可用，其精度为$ΔL\simeqλ_{\ell}{\cal F}^{-1}$量级，其中${\cal F}$是腔精细度，$λ_{\ell}$是激光器的波长。当后视镜自由摆动时，只有在验证此条件的短时间窗口内才能尝试锁定。典型地，这意味着该过程必须重复多次，并且必须施加大的力。在本文中，我们描述了一种不同的策略，它试图利用的事实，即至少在近似的方式知道的动态的镜子。我们认为，锁定过程中考虑可以更有效的相比，天真的，减少所需的最大反馈。最后，我们讨论了可能的概括，我们指出未来的调查。
英文摘要：
Suspended resonant optical cavities are basic building blocks for several experimental devices. An important issue is the control strategy required to bring them in the resonant or slightly detuned configuration needed for their operation, the so-called \textit{ locking} procedure. This can be obtained with a feedback strategy, but the error signal needed is tipically available only when the cavity is near the resonance with a precision of the order $ΔL\simeqλ_{\ell}{\cal F}^{-1}$, where ${\cal F}$ is the cavity finesse and $λ_{\ell}$ is the laser's wavelength. When the mirrors are freely swinging the locking can be attempted only in the short time windows when this condition is verifyed. Tipically this means that the procedure must be repeated several times, and that large forces must be applied. In this paper we describe a different strategy, which tries to take advantage by the fact that the dynamics of the mirrors is known at least in an approximate way. We argue that the locking procedure considered can be more efficient compared with the naive one, with a reduced needed maximal feedback. Finally we discuss possible generalizations and we point to future investigations.
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