Abstract: The wavefronts in some optical systems like radial Gradient Index (GRIN) rods and aspherical lenses have large radial slopes at the circular edge of the pupil. Then some special mathematical tools are needed to represent these wavefronts. An idea of the mechanisms employed to fabricate the GRIn rods is helpful when designing these tools. In this article we propose the use of a gaussian function to represent these wavefront deformations at the edge of the pupil. This is a compact representation and it is also very convenient for radial GRIN rods. A data fitting is performed with a regularization process introducing the a priori known wavefront characteristics.!12
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