Stellar mathematical model for alignment of optical systems in extra-solar planet detection

Mathematics

Scientific paper

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Scientific paper

We propose a polar discretization as a flexible mathematical model for describing extra-solar radiation. The analysis permits us to predict both: the spatial and the frequency responses of optical systems pointing to an extra-solar star. The spatial response provides information of the misalignment between extra-solar star and optical system. We propose a polar representation in the convolution scan followed by a space transformation to compute the frequency content of the incoming radiation. To the best of our knowledge, the spatial frequency content has not been determined thus before. We demonstrate that the circularly concentric discretization (i.e., complex polar array of radiation sources) predicts an increment on spatial information, and a reduction on the frequency content with respect to conventional stellar models.

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