In a transmissive for electromagnetic radiation window in a target-tracking over- or hypersonic missile, the window consists of a plurality jointly held, each supporting window layers (12,14), the choice of material, thickness and arrangement of temperature-dependent mechanical stresses in case of exceeding or hypersonic flight in comparison to reduces a continuously homogeneous window. In one embodiment, the window layers are fixedly connected together at their adjoining surfaces, and made of materials having such a different thermal expansion coefficient that at the occurring during the over- or hypersonic flight through the window temperature gradients in the different window layers substantially the same thermal expansions ergeben.Eine another measure consists in that between the window layers (12,14) is a sliding layer provided which allows relative movement of the window layers parallel to their adjacent surfaces such that the transfer of stresses between the window layers (12,14) is reduced ,
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