An inhomogeneous medium has a cylindrical index distribution if the refractive index depends only on the distance from some fixed line, the axis of the distribution. Formulas are given whereby the third-order aberration coefficients of a symmetric optical system may be computed exactly when the optical media have such cylindrical index distributions. The formulas are valid for both diverging and converging media. A comprehensive numerical illustration of the use of the various formulas is included.
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Moore et al. (1971) studied this question.
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