Analysis of parametric oscillatory instability in Fabry–Perot cavity with Gauss and Laguerre–Gauss main mode profile

Strigin, S.; Vyatchanin, S. P.

doi:10.1016/j.physleta.2009.12.054

Cited by 9 publications

(2 citation statements)

References 34 publications

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“…Resonant opto-mechanical oscillations caused by undesirable parametric instability (PI) [6,[9][10][11][12][13][14][15] are expected to have the lowest power threshold if compared with the other nonlinear processes in the cavities. The PI occurs due to interaction of optical cavity modes and mechanical modes of the cavity mirrors.…”

Section: Introductionmentioning

confidence: 99%

Mitigating parametric instability in optical gravitational wave detectors

et al. 2016

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Achieving quantum limited sensitivity in a laser interferometric gravitational wave detector can be hindered by an opto-mechanical parametric instability of the interferometer. This instability is sustained by a large number of idle high finesse Stokes modes supported by the system. We show that optimizing geometrical shape of the mirrors of the detector one reduces the diffraction-limited finesse of unessential optical modes and effectively increases the instability threshold. Utilizing parameters of the Advanced LIGO system as a reference we found that the proposed technique allows constructing a Fabry-Perot interferometer with round trip diffraction loss of the fundamental mode not exceeding 5 ppm, whereas the loss of the first dipole as well as the other high order modes exceeds 1, 000 ppm and 8, 000 ppm, respectively. This is two orders of magnitude higher if compared with a conventional Advanced LIGO interferometer. The optimization comes at the price of tighter tolerances on the mirror tilt stability, but does not result in a significant modification of the optical beam profile and does not require changes in the gravity detector read-out system. The cavity with proposed mirrors is also stable with respect to the slight modification of the mirror shape.

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Section: Introductionmentioning

confidence: 99%

Mitigating parametric instability in optical gravitational wave detectors

et al. 2016

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“…• Spatial overlap: The parametric gain is directly proportional to the spatial overlap factor, which measures the amount of overlap between the transverse profile of the optical mode at the mirror surface and the vibrating test mass' deformation field in the direction of the optical axis. Some work has been made into analysing the possibility of using beams with alternative shapes, such as Laguerre-Gauss modes [146] and even non-Gaussian beams [147].…”

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Optical Cavities for Optical Atomic Clocks, Atom Interferometry and Gravitational-Wave Detection

Álvarez

2019

Springer Theses

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A mis hermanas Ángela e Isabel y a mis abuelas Pepita y Consuelo. v Abstract I t is an extremely exciting time for physics. In the last 100 years we have moved from the formulation of Einstein's general relativity to the first direct observation of gravitational waves in late 2015 by the Laser Interferometer Gravitational-wave Observatory (LIGO). Within that time science and technology have come a long way: we have learned to use light to cool atoms to nearly absolute zero temperature, and to use atomic transitions in the microwave and optical regimes to devise the most accurate time and frequency references. We have observed the wave-like behaviour of cold atoms in diffraction experiments using both micro-fabricated structures and the periodic structure of light beams. Exploiting this wave-like behaviour, we have constructed atom interferometers which allow us to test and measure gravity in a new scale. All of these amazing experiments have one thing in common, from LIGO's giant 4 km arms to the transportable atomic clocks sent to space or the atom interferometers that will someday replace current navigation systems, they all make use of a device that has become essential in many areas of science and technology: the Fabry-Perot optical cavity.This thesis delves deeply into the application of optical cavities at the forefront of experimental physics, and it is divided into three parts, each pertaining to a different field where optical cavities are a key technology. Part I of the thesis follows the development of a next-generation, thermal-noise-limited, ultra-stable optical cavity for use as the reference oscillator in optical atomic clocks. This is part of the effort being carried out at the National Physical Laboratory in the UK in the field of precision metrology of time and frequency towards redefining the base SI unit of time, the second, in terms of an optical frequency standard. Part II presents work in the application of optical cavities for enhancing the sensitivity of atom interferometers, with an analysis of multi-photon Bragg diffraction inside an optical cavity. This led to an exploration of the true potential and limitations of the technique. The findings were used to aid the design of the MIGA experiment in France, and design a multi-mirror cavity for enhanced atom interferometry that overcomes some of the limitations of two-mirror cavities. Lastly, Part III presents work towards enhancing current and future laser interferometer gravitational-wave detectors by using near-unstable optical cavities in order to reduce the mirror coating thermal-noise floor, and by modelling parametric oscillatory instabilities that arise in the interferometers from the coupling between the optical field and the mechanical resonances of the test masses. The work carried out during the extent of this PhD, and the variety of contexts, accounts for the relevance and versatility of such an elegant setup as the Fabry-Perot optical cavity is. vii AcknowledgementsThis work was realised with the financial support of the Defen...

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Modelling Parametric Instabilities at Advanced LIGO and ET

Álvarez

2019

Optical Cavities for Optical Atomic Clocks, Atom Interferometry and Gravitational-Wave Detection

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Analysis of parametric oscillatory instability in Fabry–Perot cavity with Gauss and Laguerre–Gauss main mode profile

Abstract: We calculate the parametric instabilities in Fabry-Perot cavities of Advanced VIRGO and LIGO interferometers with different main mode profiles. All unstable combinations of elastic and Stokes modes both for the case with TEM 00 and LG 33 as a carriers are deduced.

Cited by 9 publications

References 34 publications

Mitigating parametric instability in optical gravitational wave detectors

Mitigating parametric instability in optical gravitational wave detectors

Optical Cavities for Optical Atomic Clocks, Atom Interferometry and Gravitational-Wave Detection

Modelling Parametric Instabilities at Advanced LIGO and ET

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