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Substituting back in (3.474) gives k2

If this result is applied to the tolerance criterion (3.468), we get v140

n for the amount of fifth order spherical aberration leading to a drop of 20% in the Strehl Ratio if it is optimally balanced by kd = 2.26A , kS1 = -5.65A

The three terms of (3.473) can also be taken individually or in the combination of kd and ks1. Other groups are ky and kc, individually or combined, and k^. The complete variance function of all the terms in (3.471) is

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