Algorithm and experiment of whole-aperture wavefront reconstruction from annular subaperture Hartmann-Shack gradient...

Area of Science:

• Optical metrology
• Surface testing
• Wavefront sensing

Background:

• Hartmann-Shack sensors are crucial for optical testing.
• Testing rotationally symmetric aspheric surfaces presents challenges due to limited sampling.
• Existing methods struggle with annular subaperture data.

Purpose of the Study:

• To develop a new algorithm for whole-aperture wavefront reconstruction.
• To improve the testing of rotationally symmetric aspheric surfaces using annular subapertures.
• To address the limited sampling issue in Hartmann-Shack measurements.

Main Methods:

• Proposed a novel algorithm for wavefront reconstruction from annular subaperture Hartmann-Shack gradient data.
• Introduced annular Zernike polynomials to separate tip, tilt, and defocus misalignments.
• Evaluated algorithm performance across various annular subaperture configurations.

Main Results:

• Successfully reconstructed whole-aperture wavefronts from limited annular subaperture data.
• Demonstrated the algorithm's ability to separate wavefront aberrations.
• Analyzed the algorithm's sensitivity to detector errors.

Conclusions:

• The new algorithm enables accurate testing of aspheric surfaces with annular subapertures.
• Experimental verification confirms the algorithm's effectiveness and robustness.
• This method advances wavefront reconstruction techniques for optical metrology.