Demonstration of the length stability requirements for ALPS II with a high finesse 9.2m cavity
Jan H. P\~old, Aaron D. Spector

TL;DR
This paper demonstrates the length stabilization of a high finesse 9.2m optical cavity crucial for ALPS II light-shining-through-a-wall experiments, focusing on achieving the necessary stability for detecting new particles.
Contribution
It reports on the implementation and analysis of a length control loop for a high finesse cavity, addressing stability requirements for ALPS II.
Findings
Finesse of 101,300 measured for the cavity
Identified key noise sources affecting length stability
Discussed control strategies to meet stability requirements
Abstract
Light-shining-through-a-wall experiments represent a new experimental approach in the search for undiscovered elementary particles not accessible with accelerator based experiments. The next generation of these experiments, such as ALPS II, require high finesse, long baseline optical cavities with fast length control. In this paper we report on a length stabilization control loop used to keep a 9.2 m cavity resonant. The finesse of this cavity was measured to be 101,300500 for 1064 nm light. Fluctuations in the differential cavity length as seen with 1064 nm and 532 nm light were measured. Such fluctuations are of high relevance, since 532 nm light will be used to sense the length of the ALPS II regeneration cavity. Limiting noise sources and different control strategies are discussed, in order to fulfill the length stability requirements for ALPS II.
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