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Reshaping of the spectrally resolved white-light fringes caused by dispersion

The shape of the spectrally resolved white-light interference fringes has been investigated theoretically and experimentally, when one mirror of the Michelson interferometer is a dispersive multilayer mirror and the other mirror is tilted. An analytical expression is found, which relates the shape of the interference fringes to the phase derivatives characterizing the dispersion of the multilayer mirror.