@sjb I suppose he didn't write that equation out? Looks like something spat out by Maple.

I don't really get what the major breakthrough is? They had an iterative solution previously. Why wasn''t that sufficient to calculate the lens shape to arbitrary levels of precision?

@jhol Yeah for all practical purposes the numerical integration should be fine. The analytic form is neat though (in the paper it's presented using intermediate variables and all the 8-10 equations are normal-sized)

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