Abstract

In this paper, a rapid optimization method of cost-based tolerancing is proposed. An example shows that only a few cases of the Monte Carlo simulation are necessary to find the best balance of the yield and the tolerance cost for the practical tolerancing problem.

© 2012 Optical Society of America

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References

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  1. R. N. Youngworth and B. D. Stone, “Cost-based tolerancing of optical systems,” Appl. Opt. 39, 4501–4511 (2000).
  2. W. J. Smith, “Fundamentals of establishing an optical tolerance budget,” Proc. SPIE 531, 196–204 (1985).
  3. M. Kehoe, “Tolerance assignment for minimizing manufacturing cost,” Proc. SPIE 7652, 76521N (2010).

2010 (1)

M. Kehoe, “Tolerance assignment for minimizing manufacturing cost,” Proc. SPIE 7652, 76521N (2010).

2000 (1)

1985 (1)

W. J. Smith, “Fundamentals of establishing an optical tolerance budget,” Proc. SPIE 531, 196–204 (1985).

Kehoe, M.

M. Kehoe, “Tolerance assignment for minimizing manufacturing cost,” Proc. SPIE 7652, 76521N (2010).

Smith, W. J.

W. J. Smith, “Fundamentals of establishing an optical tolerance budget,” Proc. SPIE 531, 196–204 (1985).

Stone, B. D.

Youngworth, R. N.

Appl. Opt. (1)

Proc. SPIE (2)

W. J. Smith, “Fundamentals of establishing an optical tolerance budget,” Proc. SPIE 531, 196–204 (1985).

M. Kehoe, “Tolerance assignment for minimizing manufacturing cost,” Proc. SPIE 7652, 76521N (2010).

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Figures (5)

Fig. 1.
Fig. 1.

Relation among the quantities and the procedures.

Fig. 2.
Fig. 2.

Section drawing of the sample lens.

Fig. 3.
Fig. 3.

Through-focus MTF of the sample lens.

Fig. 4.
Fig. 4.

Values of DOF when d1 (thickness of the first lens) changes.

Fig. 5.
Fig. 5.

Solutions on (O/I distance, DOF) plane.

Tables (9)

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Table 1. Example of Performance Criteria

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Table 2. Specification of the Sample Lens

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Table 3. Lens Data of the Sample Lens

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Table 4. Possible Values of Tolerances

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Table 5. Example of the Monte Carlo Simulation Result

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Table 6. Course of Tolerance Optimization

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Table 7. Best Yield for Each Cost

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Table 8. Overlap of Out-of-Spec of Active Criteria

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Table 9. Result of the Additional Search

Equations (11)

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f=f0+jajxj,
g=g0+jajxj+j,kbjkxjxk.
E(xjxk)=0,ifjkandE(xj)=0,
V(f)=jaj2vj,
E(g)=g0+jbjjvj,
aj=(f(sj)f(sj))/(2sj),
bjj=(g(sj)+g(sj)2g(0))/(2sj2),
V(fi)Fi(i=1M),
E(gi)Gi(i=1N),
C=jcj(vjvjs)/(vjtvjs),
vjtvjvjs

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