Single and coupled cavity mode sensing schemes using a diagnostic field

• URL: http://arxiv.org/abs/2308.15675v1
• Date: Wed, 30 Aug 2023 00:07:48 GMT
• Title: Single and coupled cavity mode sensing schemes using a diagnostic field
• Authors: Aaron W. Goodwin-Jones and Haochen Zhu and Carl Blair and Daniel D. Brown and Joris van Heijningen and Li Ju and Chunnong Zhao
• Abstract summary: In quantum-enhanced coupled-cavity experiments, such as gravitational-wave detectors, one must ensure that the sub-cavities are also mode matched. We propose a new mode sensing scheme, which works for simple and coupled cavities.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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 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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