The sensitivity achieved by large ring-laser gyroscopes will make it possible to detect faint relativistic effects related to the rotation of the Earth’s mass. This task requires a strict control of the ring cavity geometry (shape and orientation), which can be performed by a novel network of portable heterodyne interferometers, capable of measuring the absolute distance betweeen two retro-reflectors with a nominal accuracy better than 1nm. First steps have been taken towards the realization of this device and a starting prototype of distance gauge is under development and test.
Nowadays, the adaptive optics (AO) system is of fundamental importance to reduce the effect of atmospheric
turbulence on the images formed on large ground telescopes. In this paper the AO system takes advantage
of the knowledge of the current turbulence characteristics, that are estimated by data, to properly control the
deformable mirrors. The turbulence model considered in this paper is based on two assumptions: considering
the turbulence as formed by a discrete set of layers moving over the telescope lens, and each layer is modeled as
a Markov-Random-Field. The proposed Markov-Random-Field approach is exploited for estimating the layers'
characteristics. Then, a linear predictor of the turbulent phase, based on the computed information on the
turbulence layers, is constructed. Since scalability and low computational complexity of the control algorithms
are important requirements for real AO systems, the computational complexity properties of the proposed model
are investigated. Interestingly, the proposed model shows a good scalability and an almost linear computational
complexity thanks to its block diagonal structure. Performances of the proposed method are investigated by means of some simulations.