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特許 係属中 PROBLEM TO BE SOLVED: To provide a thin-shaped, high-speed light-direction control back light having high light-using efficiency, and also, capable of corresponding to multi-view points, to provide a direct-vision three-dimensional display using the back light, to provide a projection optical system where a high-speed light-direction control can be performed, and to provide a projection type three-dimensional display using the projection optical system.