21 October 2016 Temporal extension of phase screen sequences using proper orthogonal decomposition
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For performance modelling of optical countermeasure systems simulation of turbulence effects is necessary. Physical optics numerical beam propagation using phase screens is an established method in this respect. In some cases a short sequence of temporally resolved phase screens is available from Computational Fluid Dynamics (CFD) simulations or from wavefront sensor measurements. It is, however, seldom possible to provide enough sequences and sufficient sequence length for Monte Carlo simulations of system performance utilizing these methods. Therefore, we have investigated the possibility to generate an arbitrary number of longer temporal sequences of phase screens with the same statistical properties for simulation of turbulence, based on an available short phase screen sequence. The method apply Proper Orthogonal Decomposition (POD), a method used to generate orthogonal modes from a dataset. For discretely sampled sequences the Singular Value Decomposition (SVD) algorithm is suitable to extract the set of POD modes. This scheme provides a separate temporal sequence of coefficients for each spatial mode. The next step is to generate new, longer temporal sequences of coefficients with the same statistical properties as those extracted by the SVD algorithm. Finally a new sequence of phase screens is generated by adding all spatial modes. The method is illustrated using data from CFD calculations of a down-scaled jet engine plume. The method is especially suitable for very strong localized turbulence as in aero optics and engine exhaust plumes, but may be useful also for extended turbulence. The use to generate Power-In-Bucket (PIB) sequences for evaluation of turbulence distortion effects is demonstrated. PIB is an important quantity when evaluating e.g. the performance of directed infrared countermeasure (DIRCM) systems.
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Markus Henriksson, Markus Henriksson, Lars Sjöqvist, Lars Sjöqvist, Jonas Tidström, Jonas Tidström, } "Temporal extension of phase screen sequences using proper orthogonal decomposition", Proc. SPIE 9989, Technologies for Optical Countermeasures XIII, 99890H (21 October 2016); doi: 10.1117/12.2241036; https://doi.org/10.1117/12.2241036

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