1 March 1992 Design of uniform-intensity refractive axicons
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A general, nonparaxial differential equation is derived describing the refracting surface of revolution, which is able to focus light into a segment of the optical axis that has an arbitrary length, position, and longitudinal intensity distribution. The approach is based on the energy conservation principle in the geometric-approximation and ray-tracing equations. Also presented are numerical solutions for uniform-intensity axicons because the equation has only analytic solutions in the limiting cases of a stigmatic lens and classical axicon.
Leszek Rafal Staronski, Leszek Rafal Staronski, Jacek L. Sochacki, Jacek L. Sochacki, Zbigniew Jaroszewicz, Zbigniew Jaroszewicz, Andrzej Kolodziejczyk, Andrzej Kolodziejczyk, } "Design of uniform-intensity refractive axicons," Optical Engineering 31(3), (1 March 1992). https://doi.org/10.1117/12.56106 . Submission:

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