Girmaw Abebe Tadesse, Oliver Bent, et al.
IEEE SPM
A simple expression is given for the k-function associated with the general solution of Stavroudis to the eikonal equation for refraction or reflection of a plane wave from an arbitrary surface. Using this result, we specialize the solution to derive analytic expressions for the wavefront and caustic surfaces after refraction of a plane wave from any rotationally symmetric surface. The method is applied to evaluating and comparing the wave-front and caustic surfaces formed both by a planospherical lens and a planoaspheric lens used for laser beam shaping, which provides understanding of how the irradiance is redistributed over a beam as the wavefront folds back on itself within the focal region. © 2008 Optical Society of America.
Girmaw Abebe Tadesse, Oliver Bent, et al.
IEEE SPM
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