| A firm understanding of the space environment is necessary to defend US access to space-based systems. Conventional imaging systems have been developed to gather information on space-based objects, but they are incapable of imaging objects in the earth's shadow. In order close this gap in imaging-system coverage, an active-illumination based approach must be used. To facilitate this, a multi-frame active phase diversity imaging (APDI) algorithm is derived and demonstrated for the statistics of coherent light. In addition to conventional focal-plane and diversity-plane data, a statistical description for the pupil plane intensity distribution is formed and included in the derivation. The algorithm is implemented and characterized using a Monte Carlo approach. Analysis shows that the algorithm is robust, that the effect of system configuration on optimal algorithm parameters is minimal, that the algorithm is insensitive to detection noise for SNR ≥ 7, and that it performs well for SNRs as low as 2. Furthermore, it's shown that introduction of pupil-plane data on average results in a 60% better image reconstruction from dynamically aberrated data than is obtained using only focal-plane and diversity-plane data.; Both an Expectation-Maximization algorithm and a lensless-APDI approach are presented for generating imagery directly from pupil-plane polarization measurements. Shortfalls of these methods and areas worthy of further consideration are identified. The use of pupil-plane polarization state measurements in place of pupil-plane intensity measurements in the APDI algorithm is explored. A framework for including polarization measurements into the APDI algorithm is demonstrated, and an initial statistical model and results are presented. Under the developed implementation, introduction of the polarization data doesn't result in better performance. Areas that may result in better reconstructions are discussed. |
