Table 2
Transformed ray aberration coefficients and percentage errors for the system shown in Figure 2 with an object at .
Spherical | Coma | Astigmatism | Field curvature | Distortion | |
---|---|---|---|---|---|
No. 1 | −0.112840 × 10−5 | −0.102638 × 10−6 | 0.915896 × 10−8 | −0.377611 × 10−7 | −0.157428 × 10−7 |
No. 2 | −0.165551 × 10−3 | −0.150483 × 10−4 | 0.134526 × 10−5 | −0.553941 × 10−5 | −0.230920 × 10−5 |
No. 3 | −0.165562 × 10−3 | −0.150594 × 10−4 | 0.134383 × 10−5 | −0.554041 × 10−5 | −0.230983 × 10−5 |
No. 4 | −0.165551 × 10−3 | −0.150483 × 10−4 | 0.134528 × 10−5 | −0.553946 × 10−5 | −0.230918 × 10−5 |
No. 5 | 0.007% | 0.074% | −0.106% | 0.018% | 0.027% |
No. 6 | −0.007% | 0.074% | −0.108% | 0.017% | 0.028% |
No. 7 | −1.533271 | −0.112900 | 0.008156 | −0.033625 | −0.011348 |
No. 8 | −1.533165 | −0.112817 | 0.008164 | −0.033619 | −0.011345 |
No. 9 | −1.533165 | −0.112817 | 0.008164 | −0.033619 | −0.011345 |
No. 10 | 0.007% | 0.074% | −0.106% | 0.018% | 0.027% |
No. 11 | −0.014% | 0.110% | −0.072% | 0.002% | 0.028% |
No. 12 | −0.235751 × 10−3 | −0.190474 × 10−4 | 0.151351 × 10−5 | −0.623220 × 10−5 | −0.230918 × 10−5 |
No. 13 | −29.777% | −20.995% | −11.116% | −11.116% | 0.000% |
No. 1: wavefront aberration coefficients in (xyz) from [15]. No. 2: ray aberration coefficients in (xyz) from [14]. No. 3: transferred ray aberration coefficients in (xyz) from equations (11)–(15). No. 4: ray aberration coefficients Bj in (xyz) transferred from Zemax (Eqs. (A1)–(A5)). No. 5: % error = (No. 3 – No. 2) × 100/No. 2. No. 6: % error = (No. 3 – No. 4) × 100/No. 4. No. 7: peak values of ray aberrations from No. 3. No. 8: peak values of ray aberrations from [14]. No. 9: peak values of ray aberrations from Zemax. No. 10: % error = (No. 7–No. 8) × 100/No. 8. No. 11: % error = (No. 7–No. 9) × 100/No. 9. No. 12: ray aberration coefficients Be/j in (xyz)e from Zemax (Eqs. (A1)–(A5)). No. 13: % difference = (No. 4 –No. 12) × 100/No. 12.
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