An EUV mirror has a multilayer arrangement applied on a substrate. The multilayer arrangement includes a first layer group having ten or more first layer pairs. Each first layer pair has a first layer composed of a high refractive index first layer material having a first layer thickness, has a second layer composed of a low refractive index second layer material having a second layer thickness and has a period thickness corresponding to the sum of the layer thicknesses of all the layers of a first layer pair. The layer thicknesses of one of the layer materials are defined, depending on the period number, by a simply monotonic first layer thickness profile function, e.g. by a linear, quadratic or exponential layer thickness profile function. The layer thicknesses of the other of the layer materials vary, depending on the period number, in accordance with a second layer thickness profile function.