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Updated: Mar 30, 2026

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The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
Published on: August 12, 2013
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Stitching interferometry of high numerical aperture cylindrical optics without using a fringe-nulling routine
Summary
This study presents an efficient method for stitching interferometry, eliminating the need for fringe-nulling routines in subaperture measurements of high numerical aperture optics. The new approach simplifies complex procedures and reduces measurement time.
Area of Science:
- Optical metrology
- Surface metrology
- Interferometry
Background:
- Stitching interferometry is standard for high numerical aperture (NA) optics figure error measurement.
- Subaperture measurement typically necessitates a complex and time-consuming fringe-nulling routine.
- Deviating from the null-test condition causes high fringe density and introduces high-order misalignment aberrations.
Purpose of the Study:
- To develop an efficient method for stitching interferometry that bypasses the fringe-nulling routine.
- To characterize and separate high-order misalignment aberrations from subaperture data.
- To enable accurate full aperture map acquisition without complex procedures.
Main Methods:
- Characterizing high-order misalignment aberrations using low-order ones.
- Developing a method to efficiently separate these aberrations from subaperture data.
- Measuring subaperture data under a non-zero fringe pattern, eliminating the need for fringe-nulling.
Main Results:
- Demonstrated that high-order misalignment aberrations can be effectively characterized by low-order aberrations.
- Successfully separated high-order misalignment aberrations from subaperture data without fringe-nulling.
- Acquired a full aperture map by stitching corrected subaperture data.
Conclusions:
- The proposed method efficiently removes misalignment aberrations, simplifying stitching interferometry for high NA optics.
- Eliminating the fringe-nulling routine significantly reduces complexity and measurement time.
- Experimental validation confirms the feasibility of the non-null-test stitching procedure.

