Based on the aberration theory of concave grating [1-3], a method to design aberration-corrected flat-field holographic concave gratings by parameter optimization is introduced. And the influence of different parameters such as the incident angle, effective grating grooves and grating radii on the aberrations at diffracted order -1 is discussed. The results indicate that for a concave grating working in a given spectral range, we can correct aberrations by optimizing the incident angle. In addition, flat-field holographic concave gratings with higher resolution and lower aberration can also be designed by choosing the effective grating grooves and larger grating radius properly.
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