Generalized shift-rotation absolute measurement method for optical surface shapes with polygonal apertures based on...

Area of Science:

• Optics and Optical Engineering
• Metrology
• Surface Science

Background:

• Accurate measurement of optical surface shapes is crucial for high-performance optical systems.
• Existing methods for polygonal apertures often require high-precision equipment and complex adjustments.
• There is a need for simpler, more efficient absolute measurement techniques.

Purpose of the Study:

• To propose a generalized shift-rotation absolute measurement method for optical surface shapes with polygonal apertures.
• To enhance measurement accuracy and efficiency compared to existing methods.
• To eliminate the need for high-precision attitude control and repeated adjustments.

Main Methods:

• A novel method based on migration recognition using the Radon transform is employed.
• Rotation angles and translation distances are calculated through migration recognition over three measurements.
• The absolute surface shape is fitted using orthogonal Zernike polynomials.

Main Results:

• The proposed method accurately determines the absolute shape of optical surfaces with polygonal apertures.
• It achieves high measurement accuracy without requiring high-precision attitude control.
• The method simplifies the measurement process, reducing time and improving efficiency.

Conclusions:

• The generalized shift-rotation absolute measurement method offers a simpler and more efficient approach for optical surface metrology.
• It provides accurate results for polygonal apertures, overcoming limitations of previous techniques.
• This method enhances overall measurement efficiency and reduces operational complexity.