Abstract

The formulas presented in an earlier paper for the first-degree chromatic paraxial-aberration coefficients of a symmetric system with inhomogeneous media are specialized to two cases of practical importance, those of axial and cylindrical index distributions. For a given medium, the distribution of dispersion is not independent of the distribution of index for the base wavelength. From some simple assumptions pertaining to the origin of the inhomogeneities, one possible form of this dependence is deduced. On the basis of this, it is shown by numerical examples that it is possible to utilize a cylindrical distribution to achromatize a singlet, whereas this is not the case for an axial distribution.

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