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25 August 2015 Exact wavefront surface refracted by a smooth arbitrary surface considering a plane wavefront incident
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Abstract
We study the formation of wavefronts produced by smooth arbitrary surfaces with symmetry of revolution considering a plane wavefront propagating parallel to the optical axis and impinging on the refracting surface. The wavefronts are obtained by using the Malus-Dupin theorem and they represent the monochromatic aberrations which can be called image errors, furthermore their shapes could be modified by changing the parameters of the lens in such a way that if a caustic surface is vanished the optical system produces a perfect image, on the other hand for a caustic possessing a large area it could be applied to design non-imaging optical systems. The shape of the wavefront depends only on the indices of refraction and geometrical properties of the refracting surface such as the first derivative and their parameters associated. This analytic formula has potential applications in the microscopy field, illumination or corrector plates.
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Maximino M. Avendaño-Alejo "Exact wavefront surface refracted by a smooth arbitrary surface considering a plane wavefront incident", Proc. SPIE 9572, Nonimaging Optics: Efficient Design for Illumination and Solar Concentration XII, 95720L (25 August 2015); https://doi.org/10.1117/12.2188894
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