Lorentz force detuning in heterodyne gravitational wave experiments
Abstract Heterodyne cavity experiments for gravitational wave (GW) detection experience a rising interest since recent studies showed that they allow to probe the ultra high frequency regime above $$10\,\text {kHz}$$ 10 kHz . In this paper, we present a concise theoretical study of the experiment ba...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-12-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-023-12304-1 |
| _version_ | 1827300974610350080 |
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| author | Robin Löwenberg Gudrid Moortgat-Pick |
| author_facet | Robin Löwenberg Gudrid Moortgat-Pick |
| author_sort | Robin Löwenberg |
| collection | DOAJ |
| description | Abstract Heterodyne cavity experiments for gravitational wave (GW) detection experience a rising interest since recent studies showed that they allow to probe the ultra high frequency regime above $$10\,\text {kHz}$$ 10 kHz . In this paper, we present a concise theoretical study of the experiment based on ideas from the former MAGO collaboration which already started experiments in turn of the millenium. It extends the former results via deriving an additional term originating from a back-action of the electromagnetic field on the cavity walls, also known as Lorentz Force Detuning. We argue that this term leads to a complex dependence of the signal power $$P_{\text {sig}}$$ P sig on the coupling coefficient between the mechanical shell modes and the electromagnetic eigenmodes of the cavity. It turns out that one has to adapt the coupling over the whole parameter space since the optimal value depends on the mechanical mode $$\omega _l$$ ω l and the GW frequency $$\omega _g$$ ω g . This result is particularly relevant for the design of future experiments. |
| first_indexed | 2024-03-08T19:44:11Z |
| format | Article |
| id | doaj.art-27cc9a36032942089a4e536cd9a151b9 |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-24T16:14:04Z |
| publishDate | 2023-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-27cc9a36032942089a4e536cd9a151b92024-03-31T11:31:21ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-12-01831211310.1140/epjc/s10052-023-12304-1Lorentz force detuning in heterodyne gravitational wave experimentsRobin Löwenberg0Gudrid Moortgat-Pick1II. Institute for Theoretical Physics, University of HamburgII. Institute for Theoretical Physics, University of HamburgAbstract Heterodyne cavity experiments for gravitational wave (GW) detection experience a rising interest since recent studies showed that they allow to probe the ultra high frequency regime above $$10\,\text {kHz}$$ 10 kHz . In this paper, we present a concise theoretical study of the experiment based on ideas from the former MAGO collaboration which already started experiments in turn of the millenium. It extends the former results via deriving an additional term originating from a back-action of the electromagnetic field on the cavity walls, also known as Lorentz Force Detuning. We argue that this term leads to a complex dependence of the signal power $$P_{\text {sig}}$$ P sig on the coupling coefficient between the mechanical shell modes and the electromagnetic eigenmodes of the cavity. It turns out that one has to adapt the coupling over the whole parameter space since the optimal value depends on the mechanical mode $$\omega _l$$ ω l and the GW frequency $$\omega _g$$ ω g . This result is particularly relevant for the design of future experiments.https://doi.org/10.1140/epjc/s10052-023-12304-1 |
| spellingShingle | Robin Löwenberg Gudrid Moortgat-Pick Lorentz force detuning in heterodyne gravitational wave experiments European Physical Journal C: Particles and Fields |
| title | Lorentz force detuning in heterodyne gravitational wave experiments |
| title_full | Lorentz force detuning in heterodyne gravitational wave experiments |
| title_fullStr | Lorentz force detuning in heterodyne gravitational wave experiments |
| title_full_unstemmed | Lorentz force detuning in heterodyne gravitational wave experiments |
| title_short | Lorentz force detuning in heterodyne gravitational wave experiments |
| title_sort | lorentz force detuning in heterodyne gravitational wave experiments |
| url | https://doi.org/10.1140/epjc/s10052-023-12304-1 |
| work_keys_str_mv | AT robinlowenberg lorentzforcedetuninginheterodynegravitationalwaveexperiments AT gudridmoortgatpick lorentzforcedetuninginheterodynegravitationalwaveexperiments |