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Higher Precision Mirrors Set to Benefit 'Next Gen' Gravitational Wave Detectors
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Higher Precision Mirrors Set to Benefit 'Next Gen'
Gravitational Wave Detectors

[Reproduced from the University of Adelaide and Optical Society of America Newsrooms]

Scientists have developed a new type of deformable mirror that could increase the sensitivity of ground-based gravitational wave detectors.

"In addition to improving today's gravitational wave detectors, these new mirrors will also be useful for increasing sensitivity in next generation detectors and allow detection of new sources of gravitational waves," says Huy Tuong Cao.

Cao is a research team leader at the University of Adelaide node of the Australian Centre of Excellence for Gravitational Waves Discovery (OzGrav) and a member of the University's School of Physical Sciences.


Cross-section of a thermal bimorph mirror and its constituents. Image credit: Huy Tuong Cao, University of Adelaide.

The illustration shows the cross-section of a thermal bimorph mirror and its constituents. Controlling the temperature of the mirror changes the curvature of the reflected wavefront. Overlaid on the cross-section is the simulated radial stress, showing a concentration of stress at the boundary of the two layers, where the adhesive holds the structure together. Detectors such as the Advanced Laser Interferometer Gravitational-Wave Observatory (LIGO) are set to benefit from the new technology.

Advanced LIGO measures faint ripples in space time called gravitational waves, which are caused by distant events such as collisions between black holes or neutron stars.

Deformable mirrors, which are used to shape and control laser light, have a surface made of tiny mirrors that can each be moved, or actuated, to change the overall shape of the mirror.

Published in Applied Optics [1], Cao and colleagues have, for the first time, made a deformable mirror based on the bimetallic effect in which a temperature change is used to achieve mechanical displacement. "Our new mirror provides a large actuation range with great precision," says Cao. "The simplicity of the design means it can turn commercially available optics into a deformable mirror without any complicated or expensive equipment. This makes it useful for any system where precise control of beam shape is crucial."

The new technology was conceived by Cao and Aidan Brooks of LIGO as part of a visitor program between the University of Adelaide and LIGO Laboratory, funded by the Australian Research Council and National Science Foundation.

Building a better mirror

Ground-based gravitational wave detectors use laser light traveling back and forth down an interferometer's two arms to monitor the distance between mirrors at each arm's end. Gravitational waves cause a slight but detectable variation in the distance between the mirrors. Detecting this tiny change requires extremely precise laser beam steering and shaping, which is accomplished with a deformable mirror.

"We are reaching a point where the precision needed to improve the sensitivity of gravitational wave detectors is beyond what can be accomplished with the fabrication techniques used to make deformable mirrors," says Cao. Most deformable mirrors use thin mirrors to induce large amount of actuation, but these thin mirrors can produce undesirable scattering because they are hard to polish. The researchers designed a new type of deformable mirror using the bimetallic effect by attaching a piece of metal to a glass mirror. When the two are heated together the metal expands more than the glass, causing the mirror to bend.

The new design not only creates a large amount of precise actuation but is also compact and requires minimum modifications to existing systems. Both the fused silica mirrors and aluminium plates used to create the deformable mirror are commercially available. To attach the two layers, the researchers carefully selected a bonding adhesive that would maximise actuation.

"Importantly, the new design has fewer optical surfaces for the laser beam to travel through," Cao says. "This reduces light loss caused by scattering or absorption of coatings."

Precision characterisation

Creating a highly precise mirror requires precision characterisation techniques. The researchers developed and built a highly sensitive Hartmann wave front sensor to measure how the mirror's deformations changed the shape of laser light.

"This sensor was crucial to our experiment and is also used in gravitational detectors to measure minute changes in the core optics of the interferometer," Cao says.

"We used it to characterise the performance of our mirrors and found that the mirrors were highly stable and have a very linear response to changes in temperature." The tests also showed that the adhesive is the main limiting factor for the mirrors' actuation range. The researchers are currently working to overcome the limitation caused by the adhesive and will perform more tests to verify compatibility before incorporating the mirrors into Advanced LIGO.


[1] "High dynamic range thermally actuated bimorph mirror for gravitational wave detectors" Huy Tuong Cao, Aidan Brooks, Sebastian W. S. Ng, David Ottaway, Antonio Perreca, Jonathan W. Richardson, Aria Chaderjian, and Peter J. Veitch, Applied Optics, 59(9), 2784-2790 (2020); https://doi.org/10.1364/AO.376764


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