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An Elementary Approximation of Dwell Time Algorithm for Ultra-Precision Computer-Controlled Optical Surfacing.

Yajun Wang1,2, Yunfei Zhang2, Renke Kang1

  • 1School of Mechanical Engineering, Dalian University of Technology, Dalian 116023, China.

Micromachines
|April 30, 2021
PubMed
Summary
This summary is machine-generated.

A new dwell time algorithm improves ultra-precision optical surfacing by simplifying calculations. This method enhances workpiece flatness and efficiency in computer-controlled optical surfacing, crucial for large-aperture optics.

Keywords:
computer-controlled optical surfacingdwell time algorithmelementary approximationremoval functionultra-precision machining

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Area of Science:

  • Optics and Optical Engineering
  • Precision Engineering
  • Computational Science

Background:

  • Ultra-precision computer-controlled optical surfacing relies on accurate dwell time algorithms.
  • Existing algorithms often involve complex mathematics, leading to uneven computation and limited flatness improvement.

Purpose of the Study:

  • To propose a novel, elementary approximation algorithm for dwell time calculation.
  • To enhance the efficiency and accuracy of optical surfacing processes, particularly for large-aperture components.

Main Methods:

  • Developed a dwell time algorithm based on the removal function's theoretical requirements and practical distribution.
  • Utilized theoretical analysis and numerical simulations in one- and two-dimensional cases.
  • Transformed deconvolution problems into function value approximation issues.

Main Results:

  • The proposed algorithm demonstrated improved calculation efficiency and superior flatness compared to conventional methods.
  • Achieved significant flatness improvements on φ150 mm (PVr = 0.028 λ) and φ100 mm (PVcr = 0.014 λ) workpieces.
  • The algorithm effectively addresses superposition and coupling in deconvolution problems.

Conclusions:

  • The elementary approximation dwell time algorithm offers a more efficient and effective approach to ultra-precision optical surfacing.
  • This method is highly significant for the efficient computation and high-precision finishing of large-aperture optical components.