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Symmetries in geometrical optics: applications

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Abstract

In the preceding paper [ J. Opt. Soc. Am. A 12, 2753 ( 1995)] we investigated the constraints imposed by the five basic geometric symmetries, namely inversion, reflection, rotation, translation, and glide, on the first-order properties of an optical system. We now apply those results to study the optical properties of a lens that possesses the symmetry of a pattern in the unidimensional strip ornament lattice. Two examples from charged-particle optics are given to illustrate the applications of the developed concepts. The first is an analysis of the familiar multipole systems, in which we demonstrate the kind of information extractable with our symmetry analysis. The second is an analysis of a system of quadrupoles and dipoles with glide-rotation symmetries, in which we illustrate the usefulness of our method in the design of optical systems.

© 1995 Optical Society of America

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