Method for simulating infinitely long and non stationary phase screens with optimized memory storage

A new method to simulate turbulent phase is investigated in this paper. The goal of this method is to be able to simulate very long exposure times as well as time evolving turbulence conditions. But contrary to existing methods, our method allows to simulate such effects without using the whole memory space required by the simulated exposure time, making it particularly suited to the simulation of adaptive optics systems for very large apertures telescopes.