Four examples are presented as verification of the validity and the usefulness of the equations derived earlier [
J. Opt. Soc. Am. 73,
1149–
1161 (
1983)]. In each example, the aberration coefficients derived by algebraic methods are compared with those obtained from ray-trace data to a seventh-order aberration polynomial including ninth-order spherical aberration and distortion. In all cases good agreement is obtained between the two methods.
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We define the abbreviations here as [AB] = (AaBb − BaAb)/λ and [A] = Aavb − Abva. Note that these definitions are general and may be applied to any of the intermediate coefficients.
We define the abbreviations here as [AB] = (AaBb − BaAb)/λ and [A] = Aavb − Abva. Note that these definitions are general and may be applied to any of the intermediate coefficients.