Optical EngineeringDesign 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.