Title

Differential Shack-Hartmann Curvature Sensor: Local Principal Curvature Measurements

Abstract

The concept of a differential Shack-Hartmann (DSH) curvature sensor was recently proposed, which yields wavefront curvatures by measuring wavefront slope differentials. As an important feature of the DSH curvature sensor, the wavefront twist curvature terms can be efficiently obtained from slope differential measurements, thus providing a means to measure the Monge-equivalent patch. Specifically, the principal curvatures and principal directions, four key parameters in differential geometry, can be computed from the wavefront Laplacian and twist curvature terms. The principal curvatures and directions provide a "complete" definition of wavefront local shape. Given adequate sampling, these measurements can be useful in quantifying the mid-spatial-frequency wavefront errors, yielding a complete characterization of the surface being measured. © 2008 Optical Society of America.

Publication Date

1-1-2008

Publication Title

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volume

25

Issue

9

Number of Pages

2331-2337

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1364/JOSAA.25.002331

Socpus ID

56849104130 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/56849104130

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