Light-transmitting rare-earth gallium garnet ceramic, process for producing same, and faraday rota

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There is provided a rare-earth gallium garnet ceramic having a high extinction ratio and a high light transmittance. The rare-earth gallium garnet ceramic contains, as a sintering aid, 5 mass ppm or more and 500 mass ppm or less of Ge calculated as metal, and 20 mass ppm or more and 250 mass ppm or less of Al calculated as metal.