A Dove prism inverts the transmitted image and, when rotated, rotates the image at twice the rotation frequency of the prism. However, although the image is rotated, for a wide range of design parameters the polarization state of the transmitted light is not rotated. This has important implications when using Dove prisms within laser cavities, interferometers and other optical experiments.
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Padgett et al. (1999) studied this question.
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