@inproceedings{dc8e52cf6d3f427eaed009e621c3656a,

title = "Identification of the focal plane wavefront control system using E-M algorithm",

abstract = "In a typical focal plane wavefront control (FPWC) system, such as the adaptive optics system of NASA's WFIRST mission, the efficient controllers and estimators in use are usually model-based. As a result, the modeling accuracy of the system influences the ultimate performance of the control and estimation. Currently, a linear state space model is used and calculated based on lab measurements using Fourier optics. Although the physical model is clearly defined, it is usually biased due to incorrect distance measurements, imperfect diagnoses of the optical aberrations, and our lack of knowledge of the deformable mirrors (actuator gains and influence functions). In this paper, we present a new approach for measuring/estimating the linear state space model of a FPWC system using the expectation-maximization (E-M) algorithm. Simulation and lab results in the Princeton's High Contrast Imaging Lab (HCIL) show that the E-M algorithm can well handle both the amplitude and phase errors and accurately recover the system. Using the recovered state space model, the controller creates dark holes with faster speed. The final accuracy of the model depends on the amount of data used for learning.",

keywords = "E-M algorithm, Exoplanet direct imaging, coronagraph, statistical learning, system identification, wavefront correction",

author = "He Sun and Kasdin, {N. Jeremy} and Robert Vanderbei",

year = "2017",

month = jan,

day = "1",

doi = "10.1117/12.2274835",

language = "English (US)",

series = "Proceedings of SPIE - The International Society for Optical Engineering",

publisher = "SPIE",

editor = "Stuart Shaklan",

booktitle = "Techniques and Instrumentation for Detection of Exoplanets VIII",

address = "United States",

note = "Techniques and Instrumentation for Detection of Exoplanets VIII 2017 ; Conference date: 08-08-2017 Through 10-08-2017",

}