Optimum configurations for two off-axis parabolae used to make an optical relay.

Physics – Optics

Scientific paper

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Mirrors: Optical Design

Scientific paper

An all-reflective and unobstructed optical relay to convey light from one real image to a second one can be obtained using two off-axis parabolae. It has been empirically stated that, when the principal rays of the optical relay lie in the same plane, the optimal configuration is given by a simple relationship between the magnification factor and the off-axis angles of the parabolae. An analytical description of the configuration, leading to the same relationship, is worked out and, by ray-tracing, the solution of the problem is extended to a wider range of cases, including configurations where the principal rays do not lie in the same plane. A simple analytical relationship describing these solutions in a certain range of parameters is given.

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