Single and coupled cavity mode sensing schemes using a diagnostic field
Date
2023
Authors
Goodwin-Jones, A.W.
Zhu, H.
Blair, C.
Brown, D.D.
van Heijningen, J.
Ju, L.
Zhao, C.
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Journal article
Citation
Optics Express, 2023; 31(21):35068-35085
Statement of Responsibility
Aaron W. Goodwin-Jones, Haochen Zhu, Carl Blair, Daniel D. Brown, Joris van Heijningen, Li Ju, and Chunnong Zhao
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Abstract
Precise optical mode matching is of critical importance in experiments using squeezed-vacuum states. Automatic spatial-mode matching schemes have the potential to reduce losses and improve loss stability. However, in quantum-enhanced coupled-cavity experiments, such as gravitational-wave detectors, one must also ensure that the sub-cavities are also mode matched. We propose what we believe to be a new mode sensing scheme, which works for simple and coupled cavities. The scheme requires no moving parts, nor tuning of Gouy phases. Instead a diagnostic field tuned to the HG20/LG10 mode frequency is used. The error signals are derived to be proportional to the difference in waist position, and difference in Rayleigh ranges, between the sub-cavity eigenmodes. The two error signals are separable by 90 degrees of demodulation phase. We demonstrate reasonable error signals for a simplified Einstein Telescope optical design. This work will facilitate routine use of extremely high levels of squeezing in current and future gravitational-wave detectors.
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© 2023 Optica Publishing Group under the terms of the Optica Open Access Publishing Agreement. Open access journal article PDFs may be governed by the Optica Publishing Group Open Access Publishing Agreement signed by the author and any applicable copyright laws. Authors and readers may use, reuse, and build upon the article, or use it for text or data mining without asking prior permission from the publisher or the Author(s), as long as the purpose is non-commercial and appropriate attribution is maintained.