Simple 180o field-of-view F-theta all-sky camera

Physics – Optics

Scientific paper

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Scientific paper

All-sky cameras with field-of-view (FOV) of 180 degree(s) are used in several astronomical and terrestrial applications. In its simplest form, such a camera consists of a simple photographic camera which photographs the image of the sky reflected in a spherical mirror. This design is attractive due to its comparatively low cost, as the spherical mirror has very relaxed tolerances on surface shape and accuracy. However, the image such a camera produces suffers from angular distortion near the edge of the image. If, instead of a spherical mirror, an aspherical one is used, it is possible to eliminate angular distortion and to obtain constant angular magnification over the whole 180 degree(s) FOV. The derivation of the differential equation of the required aspherical surface is outlined, and the results of numerical integration of the equation are described.

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