# Virgo interferometer

The Virgo interferometer is a large interferometer designed to detect gravitational waves predicted by the general theory of relativity. Virgo is a Michelson interferometer that is isolated from external disturbances: its mirrors and instrumentation are suspended and its laser beam operates in a vacuum. The instrument's two arms are three kilometres long and located in Santo Stefano a Macerata, near the city of Pisa, Italy.

Motto Founding members   Acceded members Listening to the cosmic whisper 1993 International scientific collaboration Gravitational wave detection EGO Santo Stefano a Macerata, Cascina 43°37′53″N 10°30′16″E﻿ / ﻿43.6313°N 10.5045°E Italy Basic research CNRS (France), INFN (Italy), NIKHEF (Netherlands), POLGRAW (Poland), RMKI (Hungary) and Spain Jo van den Brand LVC (LIGO Scientific Collaboration and Virgo Collaboration) About ten million euros per year More than 320 people contribute to the Virgo experiment www.virgo-gw.eu

Virgo is part of a scientific collaboration of laboratories from six countries: Italy and France, the Netherlands, Poland, Hungary and Spain. Other interferometers similar to Virgo have the same goal of detecting gravitational waves, including the two LIGO interferometers in the United States (at the Hanford Site and in Livingston, Louisiana). Since 2007, Virgo and LIGO have agreed to share and jointly analyze the data recorded by their detectors and to jointly publish their results.[1] Because the interferometric detectors are not directional (they survey the whole sky) and they are looking for signals which are weak, infrequent, one-time events, simultaneous detection of a gravitational wave in multiple instruments is necessary to confirm the signal validity and to deduce the angular direction of its source.

The interferometer is named for the Virgo Cluster of about 1,500 galaxies in the Virgo constellation, about 50 million light-years from Earth. As no terrestrial source of gravitational wave is powerful enough to produce a detectable signal, Virgo must observe the Universe. The more sensitive the detector, the further it can see gravitational waves, which then increases the number of potential sources. This is relevant as the violent phenomena Virgo is potentially sensitive to (coalescence of a compact binary system, neutron stars or black holes; supernova explosion; etc.) are rare: the more galaxies Virgo is surveying, the larger the probability of a detection.

## History

The Virgo project was approved in 1993 by the French CNRS and in 1994 by the Italian INFN, the two institutes at the origin of the experiment. The construction of the detector started in 1996 in the Cascina site near Pisa, Italy.

In December 2000,[2] CNRS and INFN created the European Gravitational Observatory (EGO consortium), later joined by the Netherlands, Poland, Hungary and Spain. EGO is responsible for the Virgo site, in charge of the construction, the maintenance and the operation of the detector, as well as of its upgrades. The goal of EGO is also to promote research and studies about gravitation in Europe. By December 2015, 19 laboratories plus EGO were members of the Virgo collaboration.

In the 2000s, the "initial" Virgo detector was built, commissioned and operated. The instrument reached its design sensitivity to gravitational wave signals. This long-term endeavour allowed the technical choices made to build Virgo to be validated; it also showed that giant interferometers are promising devices to detect gravitational waves in a wide frequency band.[3][4] However, the initial Virgo detector was not sensitive enough to achieve such a detection. Therefore, it was decommissioned from 2011 in order to be replaced by the "advanced" Virgo detector which aims at increasing its sensitivity by a factor of 10. The advanced Virgo detector benefits from the experience gained on the initial detector and from technological advances since it was made.

The construction of the initial Virgo detector was completed in June 2003[5] and several data taking periods followed between 2007 and 2011.[6] Some of these runs were done in coincidence with the two LIGO detectors. Then a long upgrade to the second generation detector, called Advanced Virgo, started; its aim is to reach a sensitivity one order of magnitude better than the initial Virgo detector, allowing it to probe a volume of the Universe 1,000 times larger, making detections of gravitational waves more likely.

Advanced Virgo started commissioning in 2016, joining the two advanced LIGO detectors ("aLIGO") for a first "engineering" observing period in May and June 2017.[7] On 14 August 2017, LIGO and Virgo detected a signal, GW170814, which was reported on 27 September 2017. It was the first binary black hole merger detected by both LIGO and Virgo.[8]

## Goals

Aerial view of the site of the Virgo experiment showing the central building, the Mode-Cleaner building, the full 3 km-long west arm and the beginning of the north arm (on the right). The other buildings include offices, workshops, the local computing center and the interferometer control room. When this picture was shot, the building hosting the project management and the canteen had not been built yet.

The first goal of Virgo is to directly observe gravitational waves, a straightforward prediction of Albert Einstein's general relativity.[9] The study over three decades of the binary pulsar 1913+16, whose discovery was awarded the 1993 Nobel Prize in Physics, led to indirect evidence of the existence of gravitational waves. The observed evolution over time of this binary pulsar's orbital period is in excellent agreement with the hypothesis that the system is losing energy by emitting gravitational waves.[10] The rotation motion is accelerating (its period, reported in 2004 to be 7.75 hours, is decreasing by 76.5 microseconds per year) and the two compact stars get closer by about three meters each year. They should coalesce in about 300 million years. But only the very last moments preceding that particular cosmic collision will generate gravitational waves strong enough to be visible in a detector like Virgo. This theoretical scenario for the evolution of Binary Pulsar B1913+16 would be confirmed by a direct detection of gravitational waves from a similar system, the main goal of giant interferometric detectors like Virgo and LIGO.

On the longer term, after accomplishing the primary goal of discovering gravitational waves, Virgo aims at being part of the birth of a new branch of astronomy by observing the Universe with a different and complementary perspective than current telescopes and detectors. Information brought by gravitational waves will be added to those provided by the study of the electromagnetic spectrum (microwaves, radio waves, infrared, the visible spectrum, ultraviolet, X-rays and gamma rays), of cosmic rays and of neutrinos. In order to correlate a gravitational wave detection with visible and localized events in the sky, the LIGO and Virgo collaborations have signed bilateral agreements with many teams operating telescopes to quickly inform (on the timescale of a few days or a few hours) these partners that a potential gravitational wave signal has been observed. These alerts must be sent before knowing whether the signal is real or not, because the source (if it is real) may only remain visible during a short amount of time.

## Interferometric detection of a gravitational wave

### Effect of a gravitational wave in an optical cavity

In general relativity, a gravitational wave is a space-time perturbation which propagates at the speed of light. It then curves slightly the space-time, which changes locally the light path. Mathematically speaking, if ${\displaystyle h}$  is the amplitude (assumed to be small) of the incoming gravitational wave and ${\displaystyle L}$  the length of the optical cavity in which the light is in circulation, the change ${\displaystyle \delta L}$  of the optical path due to the gravitational wave is given by the formula:[11]

${\displaystyle {\frac {\delta L}{L}}=C\times h}$

with ${\displaystyle C\leq 1}$  being a geometrical factor which depends on the relative orientation between the cavity and the direction of propagation of the incoming gravitational wave.

### Detection principle

Basic scheme of a gravitational wave suspended interferometric detector like Virgo.

To start with, Virgo is a Michelson interferometer whose mirrors are suspended. A laser is divided into two beams by a beam splitter tilted by 45 degrees. The two beams propagate in the two perpendicular arms of the interferometer, are reflected by mirrors located at the end of the arms and recombine on the beam splitter, generating interferences which are detected by a photodiode. An incoming gravitational wave changes the optical path of the laser beams in the arms, which then changes the interference pattern recorded by the photodiode.

The signal induced by a potential gravitational wave is thus "embedded" in the light intensity variations detected at the interferometer output.[12] Yet, several external causes—globally denoted as noises—changes the interference pattern perpetually and significantly. Should nothing be done to remove or mitigate them, the expected physical signals would be buried in noise and would then remain undetectable. The design of detectors like Virgo and LIGO thus requires a detailed inventory of all noise sources which could impact the measurement, allowing a strong and continuing effort to reduce them as much as possible.[13][14] During the data taking periods, dedicated software monitors in real time the noise levels in the interferometer, and deep studies are carried out to identify the loudest noises and mitigate them. Each period during which a detector is found to be "too noisy" is excluded from the data analysis: these dead times need to be reduced as much as possible.

### Detector sensitivity

A sensitivity curve from the Virgo detector in the frequency band [10 Hz; 10 kHz], computed in August 2011"Virgo Sensitivity Curves". 2011. Archived from the original on 1 December 2015. Retrieved 15 December 2015.. Its shape is typical: the thermal noise of the mirror suspension pendulum mode dominates at low frequency while the increase at high frequency is due to the laser shot noise. In between these two frequency bands and superimposed to these fundamental noises, one can see resonances (for instance the suspension wire violin modes) such as contributions from various instrumental noises (among which the 50 Hz frequency from the power grid and its harmonics) which one is trying to reduce continuously.

A detector like Virgo is characterized by its sensitivity, a figure of merit providing information about the tiniest signal the instrument could detect—the smaller the value of the sensitivity, the better the detector. The sensitivity varies with frequency as each noise has its own frequency range. For instance, it is foreseen that the sensitivity of the advanced Virgo detector be ultimately limited by:[14]

• seismic noise (any ground motion whose sources are numerous: waves in the Mediterranean sea, wind, human activity for instance the traffic during daytime, etc.) in the low frequencies up to about 10 Hertz (Hz);
• the thermal noise of the mirrors and their suspension wires, from a few tens of Hz up to a few hundreds;
• the laser shot noise above a few hundreds of Hz.

Virgo is a wide band detector whose sensitivity ranges from a few Hz up to 10 kHz. Mathematically speaking, its sensitivity is characterized by its power spectrum which is computed in real time using the data recorded by the detector. The curve opposite shows an example of a Virgo amplitude spectrum density (the square root of the power spectrum) from 2011, plotted using log-log scale.

### Improving the sensitivity

Using an interferometer rather than a single optical cavity allows one to enhance significantly the sensitivity of the detector to gravitational waves.[15] Indeed, in this configuration based on an interference measurement, the contributions from some experimental noises are strongly reduced: instead of being proportional to the length of the single cavity, they depend in that case on the length difference between the arms (so equal arm length cancels the noise). In addition, the interferometer configuration benefits from the differential effect induced by a gravitational wave in the plane transverse to its direction of propagation: when the length of an optical path ${\displaystyle L}$  changes by a quantity ${\displaystyle \delta L}$ , the perpendicular optical path of same length changes by ${\displaystyle -\delta L}$  (same magnitude but opposite sign). And the interference at the output port of a Michelson interferometer depends on the difference of length between the two arms: the measured effect is hence amplified by a factor 2 with respect to a simple cavity.

Then, one has to "freeze" the various mirrors of the interferometer: when they move, the optical cavity length changes and so does the interference signal read at the instrument output port. The mirror positions relative to a reference and their alignment are monitored accurately in real time[16] with a precision better than the tenth of a nanometre for the lengths;[14] at the level of a few nanoradians for the angles. The more sensitive the detector, the narrower its optimal working point.

Reaching that working point from an initial configuration in which the various mirrors are moving freely is a control system challenge.[17] In a first step, each mirror is controlled locally to damp its residual motion; then, an automated sequence of steps, usually long and complex, allows one to make the transition between a series of independent local controls to a unique global control steering the interferometer as a whole. Once this working point is reached, it is simpler to keep it as error signals read in real time provide a measurement of the deviation between the actual state of the interferometer and its optimal condition. From the measured differences, mechanical corrections are applied on the various mirrors to bring the system closer to its best working point.

The optimal working point of an interferometric detector of gravitational waves is slightly detuned from the "dark fringe", a configuration in which the two laser beams recombined on the beam splitter interfere in a destructive way: almost no light is detected at the output port. Calculations show that the detector sensitivity scales as[14] ${\displaystyle {\frac {1}{L\times {\sqrt {P}}}}}$ , where ${\displaystyle L}$  is the arm cavity length and ${\displaystyle P}$  the laser power on the beam splitter. To improve it, these two quantities must be increased.

• The arms of the Virgo detector are thus 3-km long.
• To increase even more (by a factor 50) the length of the laser optical paths, highly reflecting mirrors are installed at the entry of the kilometric arms to create Fabry-Perot cavities.
• Finally, as the interferometer is tuned on the dark fringe and that the mirrors located at the end of the arms are highly reflecting as well, almost all the laser power is sent back to the laser source from the beam splitter. Therefore, an additional highly reflecting mirror is located in this area to recycle the light and store it inside the instrument.

Optical configuration of the first generation Virgo detector. On the schematics one can read the level of magnitude of the power stored in the various cavities.

## The instrument

Any Virgo mirror is supported, under vacuum, by a mechanical structure enormously damping seismic vibrations. A "Superattenuator" consists of a chain of pendula, hanging from an upper platform, supported by three long flexible legs clamped to ground, technically called inverted pendulum. In this way seismic vibrations above 10 Hz are reduced by more than 1012 times and the position of the mirror is very carefully controlled.

Seen from the air, the Virgo detector has a characteristic "L" shape with its two 3-km long perpendicular arms. The arm "tunnels" house vacuum pipes with a 120 cm diameter in which the laser beams are travelling under ultra-high vacuum. To increase the interaction between the light and an incoming gravitational wave, a Fabry-Perot optical cavity is installed in each arm as well as a mirror called "recycling mirror" at the instrument entrance, between the laser source and the beam splitter.

Virgo is sensitive to gravitational waves in a wide frequency range, from 10 Hz to 10,000 Hz. The main components of the detector are the following:

• The laser is the light source of the experiment. It must be powerful, while extremely stable in frequency as well as in amplitude.[18] To meet all these specifications which are somewhat opposing, the beam starts from a very low power, yet very stable, laser.[19] The light from this laser passes through several amplifiers which enhance its power by a factor 100. A 50 W output power was achieved for the last configuration of the initial Virgo detector—called "Virgo+"—while in the final configuration of Advanced Virgo, the laser will deliver 200 W.[20] The retained solution is to have a fully fibered laser with an amplification stage made of fibers as well, to improve the robustness of the system. That laser is actively stabilised in amplitude, frequency and position, in order to not inject additional noise in the interferometer, and hence to improve the sensitivity to the gravitational wave signal.
• The large mirrors of the arm cavities are the most critical optics of the interferometer. Those mirrors make a resonant optical cavity in each arm and allow to increase the power of the light stored in the 3-km arms. Thanks to this setup, the interaction time between the light and the gravitational wave signal is significantly increased. Those mirrors are non-standard pieces, made from state-of-the-art technologies. They are cylinders 35 cm in diameter and 20 cm thick,[20] made from the purest glass in the world.[21] The mirrors are polished to the atomic level in order to not diffuse (and hence lose) any light.[22] Finally, a reflective coating (a Bragg reflector made with ion beam sputtering, or IBS) is added. The mirrors located at the end of the arms reflect all incoming light; less than 0.002% of the light is lost at each reflection.[23]
• In order to mitigate the seismic noise which could propagate up to the mirrors, shaking them and hence obscuring potential gravitational wave signals, the large mirrors are suspended by a complex system. All of the main mirrors are suspended by four thin fibers made of silica[24] (hence in glass) which are attached to a series of attenuators. This chain of suspension, called the 'superattenuator', is close to 10 meters high and is also under vacuum.[25] The superattenuators do not only limit the disturbances on the mirrors, they also allow the mirror position and orientation to be precisely steered. The optical table where the injection optics used to shape the laser beam are located, such as the benches used for the light detection, are also suspended and under vacuum, in order to limit the seismic and acoustic noises. For advanced Virgo, the whole instrumentation used to detect gravitational waves signals and to steer the interferometer (photodiodes, cameras and the associated electronics) are also installed on several suspended benches, and under vacuum. This choice and the use of light traps (called baffles) inside the vacuum pipes, prevent the residual seismic noise from being reintroduced into the dark port signals because of spurious reflections from diffused light.
• Virgo is the largest ultra-high vacuum installation in Europe, with a total volume of 6,800 cubic meters.[26] The two 3-km arms are made of a long pipe 1.2m in diameter in which the residual pressure is about 1 thousandth of a billionth of an atmosphere. Thus, the residual air molecules are not disturbing the path of the laser beams. Large gate valves are located at both ends of the arms so that work can be done in the mirror vacuum towers without breaking the arm ultra-high vacuum. Indeed, both Virgo arms have been kept under vacuum since 2008.[27]

### The initial Virgo detector

The initial Virgo detector recorded scientific data from 2007 to 2011 during four science runs.[28] There was a shut-down of a few months in 2010 to allow for a major upgrade of the Virgo suspension system: the original suspension steel wires were replaced by glass fibers in order to reduce the thermal noise.[29] After several months of data taking with this final configuration, the initial Virgo detector was shut down in September 2011 to begin the installation of Advanced Virgo.[30]

The first directly detection of gravitational wave of Virgo, GW170814.

The Advanced Virgo aims to be 10 times more sensitive than the initial Virgo.[31] According to the Advanced Virgo Technical Design Report VIR–0128A–12 of 2012, advanced Virgo keeps the same vacuum infrastructure as Virgo, with four additional cryotraps located at both ends of both three-kilometre-long arms to trap residual particles coming from the mirror towers, but the remainder of the interferometer has been significantly upgraded. The new mirrors are larger (350 mm in diameter, with a weight of 40 kg), and their optical performances have been improved.[20] The critical optical elements used to control the interferometer are under vacuum on suspended benches. A system of adaptive optics was to be installed to correct the mirror aberrations in-situ.[20] In the final Advanced Virgo configuration, the laser power will be 200 W.

A milestone for the Advanced Virgo was reached in 2017 with the installation of the new detector. A first joint science run with LIGO, in the second half of 2017, started following a commissioning period of a few months.

The first detection of gravitational waves by Virgo is known as GW170814, which was announced on 27 September 2017 in a G7 science meeting conference in Turin, Italy.[32][8]

Just few days later, GW170817 was detected by the LIGO and Virgo on 17 August 2017. The GW was produced by the last minutes of two neutron stars spiralling closer to each other and finally merging, and is the first GW observation which has been confirmed by non-gravitational means.

The full design sensitivity of the Advanced Virgo should be achieved in 2019.

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