21 October 2011 Methodology for the third order astigmatism compensation in off-axis spherical reflective systems
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Abstract
The main constraint of classical off-axis reflecting systems is the primary astigmatism that by long time has been a research topic of interest. This astigmatism in off-axis spherical reflective imaging systems can be eliminated by one proper configuration. These configurations could be derived from the marginal ray fan equation and they are valid for small angles of incidence. The conditions for the astigmatism compensation in configurations with two and three offaxis mirrors have been derived and analyzed, which has not been reported previously. The expression that defines the conditions for primary astigmatism compensation in a four-mirror system is presented. This shows that the marginal ray fan equation can be used to obtain the condition for astigmatism compensation of a reflective system with any number of mirrors.
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Armando Gómez-Vieyra, Daniel Malacara-Hernández, and Carlos A. Vargas "Methodology for the third order astigmatism compensation in off-axis spherical reflective systems", Proc. SPIE 8011, 22nd Congress of the International Commission for Optics: Light for the Development of the World, 801102 (21 October 2011); doi: 10.1117/12.899505; https://doi.org/10.1117/12.899505
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