A multi-degree of freedom test mass readout such as the one described in the last section, could be used to measure relative motion between two optical benches. Alternatively, the same could be achieved using optical head assemblies on both benches and measuring the relative motion using a measurement scheme more comparable to the multi-link GRACE. Suspension platform interferometry (SPI) [150] is used to suppress relative motion between optical benches in order to reduce the load on suspension isolation systems and, in the process, make large scale interferometers such as LIGO [155] easier to lock. Since SPI requires active feedback to the optical benches the multi-link signal processing, which up to this point has been performed in post-processing, will need some modification.
In SPI, the bench separations will be typically on the order of 10 m. Therefore the time of flight delays are negligible, removing the need to perform time delay interferometry. Instead the laser frequency displacement noise can simply be cancelled by subtracting the displacements measured on one bench from the displacements measured on the other bench. This, as well as the weighted averages required to estimate the relative rotation of the benches, could be performed in real-time with a measurement update rate well above the 100 Hz bandwidth such systems require [150].
Similar combinations to those described in the last section could be used to measure the relative motion of the optical benches. To sense all degrees of freedom, as was the case with the test mass readout, multiple 3-optical head sensors would be needed.
More analysis and testing will be needed to determine if a multi-link architecture can be used for SPI and whether it can provide competitive sensitivity when compared with existing systems [150, 156, 157].
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