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Cost-based tolerancing of optical systems.

R N Youngworth¹, B D Stone

¹The Institute of Optics, University of Rochester, Rochester, New York 14627-0186, USA. riyoung@optics.rochester.edu

|March 20, 2008

Summary

This summary is machine-generated.

This study introduces a cost-based tolerancing method using the Hessian matrix for optical system design. It demonstrates how optimal manufacturing tolerances can be determined by varying image quality, yield, and cost factors.

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Area of Science:

Optical Engineering
Computational Optics
Image Science

Background:

Calculating the full Hessian matrix is computationally expensive for iterative optimization in optical system design.
The Hessian matrix, however, is valuable for tolerance analysis, requiring computation only once.

Purpose of the Study:

To propose and demonstrate a cost-based tolerancing procedure that leverages the Hessian matrix.
To determine optimal manufacturing tolerances for optical systems, specifically a doublet, considering various factors.

Main Methods:

Implementing a cost-based tolerancing procedure utilizing the Hessian matrix.
Analyzing the impact of image quality, manufacturing yield, and tolerance costs on optimal tolerances.

Main Results:

The study successfully determined optimal manufacturing tolerances for a doublet using the proposed method.
Results show that optimal tolerances are sensitive to changes in image quality requirements, manufacturing yields, and cost considerations.

Conclusions:

The proposed Hessian-based cost-based tolerancing is a viable and effective approach for optical system design.
This method allows for adaptable determination of manufacturing tolerances based on economic and performance trade-offs.