Simulation of atmospheric turbulence phase screen for large telescope and optical interferometer

As the pupil size of ground-based telescopes increases, adaptive optics systems become more and more important for almost all astronomical observations. To test the performance of adaptive optics systems through simulation and with test bench experiments, we need to model the atmospheric turbulence with high fidelity. To fulfil this goal, a new method based on optimal sampling with a sparse spectrum model is discussed. This method can effectively simulate the atmospheric phase screen of any power spectrum with a controllable error budget.