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Power losses in lamellar gratings subject to mixed boundary conditions.

The diffracted powers as well as power losses in the groove bottom, walls, and top are calculated for finite conducting lamellar gratings. The fields are determined from Helmholtz’s equation subject to boundary conditions where the fields and their derivatives are mixed; these conditions are a result of the assumption of a highly conductive grating. A specific example is included for a thin gold-coated grating.