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A Dual-Vector Grating Efficiency Model

A scalar grating efficiency model is developed primarily for use with Echelle gratings when the incident beam does not directly illuminate the antiblaze facet. Relative field intensities are calculated as the square of the vector sum of the direct diffraction field from the blaze facet and the reflected diffraction field from the antiblaze facet. Relative grating efficiency is the ratio of the relative intensity in the desired order to the summation of the relative intensities in all possible orders. Calculated efficiencies are compared with measured efficiencies for Echelle gratings.