Abstract: Aberration properties and correction capabilities of objectives containing two or three cemented radial gradient- index lenses are analyzed. It is shown that the simplest radial gradient-index system, which can be corrected for all third-order monochromatic aberrations, is the cemented doublet with flat external and spherical cemented surfaces. Aberration properties of the cemented component made of two different inhomogeneous materials and having only four flat surfaces are analogous. It is also shown that the simplest radial gradient-index system, which can be simultaneously corrected for all third- and fifth-order monochromatic aberrations, is the cemented triplet made of three different inhomogeneous materials and having spherical surfaces. The methods and examples of aberrations-free objectives design are given. !13
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