Analytic Computer Generated Hologram Design

Abstract

For a given asphere the grating equation is used to derive the design for a Computer Generated Hologram (CGH), sometimes referred to as a diffractive null corrector. The CGH converts a spherical wavefront to the shape appropriate for the given asphere as required for interferometric metrology. The derivation is effectively analytic but may require numerical implementation in certain cases depending on the complexity of the shape of the asphere and the accuracy required.

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