Analytic Computer Generated Hologram Design
Gregg M. Gallatin

TL;DR
This paper presents an analytic method for designing computer generated holograms that transform spherical wavefronts into aspheric shapes for interferometric metrology, combining theoretical derivation with potential numerical implementation.
Contribution
It introduces an analytic approach to CGH design for aspheres using the grating equation, enhancing precision in interferometric measurements.
Findings
Analytic derivation of CGH design for aspheres
Method accommodates complex aspheric shapes
Potential for numerical implementation in complex cases
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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Taxonomy
TopicsOptical measurement and interference techniques · Advanced Measurement and Metrology Techniques · Adaptive optics and wavefront sensing
