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Quantum noise from vacuum field injection in optical cavities with diffraction-related loss

Umemura, Kurumi, Ishikawa, Tomohiro, Tsuji, Kenji, Iwaguchi, Shoki, Enomoto, Yutaro, Michimura, Yuta, Komori, Kentaro, Kokeyama, Keiko ORCID: https://orcid.org/0000-0002-2896-1992 and Kawamura, Seiji 2026. Quantum noise from vacuum field injection in optical cavities with diffraction-related loss. Applied Optics 65 (12) , pp. 4107-4116. 10.1364/ao.580911

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License URL: https://doi.org/10.1364/OA_License_v2#VOR
License Start date: 17 April 2026

Abstract

The space-based gravitational wave detector DECIGO is designed to observe primordial gravitational waves with 1000 km Fabry–Perot cavities. Its sensitivity is limited by quantum noise, and although squeezing can suppress it, its effectiveness is reduced by diffraction-related loss, which leads to the injection of vacuum fields into the interferometer. This paper presents a rigorous treatment of quantum field propagation in the presence of diffraction and higher-order mode losses, deriving input–output relations and modeling their impact via an optomechanical block diagram. The analysis shows that diffraction-induced vacuum fields slightly increase radiation pressure noise, while shot noise remains unaffected. Nevertheless, cavity detuning with homodyne detection yields a dip in the noise spectrum. By accurately capturing these effects, this framework enables a detailed study of sensitivity improvements made by either just detuning the main cavity while implementing homodyne detection, or by combining this with optical-spring quantum locking using auxiliary cavities, laying a firm foundation for enhancing DECIGO’s capability to detect primordial gravitational waves.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Schools > Physics and Astronomy
Additional Information: RRS policy applied. License information from Publisher: LICENSE 1: URL: https://doi.org/10.1364/OA_License_v2#VOR, Start Date: 2026-04-17
Publisher: Optica Publishing Group
ISSN: 1559-128X
Date of First Compliant Deposit: 11 May 2026
Date of Acceptance: 1 April 2026
Last Modified: 02 Aug 2026 07:30
URI: https://orca.cardiff.ac.uk/id/eprint/186709

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