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Fabrication of aspherics using a mathematical model for material removal
Applied Optics
|February 6, 2010
Summary
A new mathematical model predicts aspheric surface generation in optical surfacing machines. This validated model accounts for material wear and machine kinematics, enabling the synthesis of machine strokes for desired surfaces.
Area of Science:
- Optical engineering
- Manufacturing processes
- Computational modeling
Background:
- Optical components often require precise aspheric surfaces.
- Predicting the outcome of optical surfacing processes is complex.
- Existing models may not fully capture material wear and machine kinematics.
Purpose of the Study:
- To develop a mathematical model for predicting aspheric surface generation.
- To validate the model experimentally for the grinding process.
- To utilize the model for synthesizing machine strokes to achieve desired aspheric surfaces.
Main Methods:
- Combining assumptions of material wear with machine kinematics.
- Experimental verification of the model for grinding.
- Modification of the model for non-uniform pressure conditions at workpiece edges.
Main Results:
- The developed model accurately predicts the aspheric surface produced by typical optical surfacing machines.
- Experimental verification confirmed the model's validity for grinding processes.
- The model successfully synthesized machine strokes for producing a desired aspheric surface.
Conclusions:
- A robust mathematical model for optical surfacing has been established.
- The model accurately predicts surface generation, considering material wear and kinematics.
- This predictive capability allows for the precise manufacturing of complex aspheric surfaces.
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