10 December 2001 Imaging with multireflection systems of two spherical mirrors
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We investigate unobstructed plane-symmetric imaging systems of two spherical mirrors having three- or four-reflections. Geometry constraints are used to ensure that the odd numbered reflections occur on one spherical mirror, and that even numbered reflections occur on a separate spherical mirror. Imaging constraints are used to ensure appropriate first-order behavior. These geometry and imaging constraints eliminate degrees of freedom from the configuration space, thereby simplifying the design process. For the three-reflection systems, the available degrees of freedom are reduced to four, and for four-reflection systems, they are reduced to five. An alternate method using pickup constraints is discussed. Global optimization using simulated annealing is performed, and example systems are presented.
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Joseph M. Howard and Bryan D. Stone "Imaging with multireflection systems of two spherical mirrors", Proc. SPIE 4442, Novel Optical Systems Design and Optimization IV, (10 December 2001); doi: 10.1117/12.449958; https://doi.org/10.1117/12.449958


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