Abstract

General formulas for the energy flux density and the caustic surfaces formed by light rays propagating in a gradient-index medium are derived. For the radial gradient index of refraction, n2(r)=N20−b2r2, where N0 and b are constants, analytical expressions are presented for the energy density along the ray path in a medium and for the caustic surfaces produced by the medium. As an application, the caustic surfaces formed by collimated light rays incident upon a converging Wood lens are analyzed.

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