Fast algorithm for computing the Abel inversion integral in broadband reflectometry

The application of the Hansen–Jablokow recursive technique is proposed for the numerical computation of the Abel inversion integral which is used in (O‐mode) frequency‐modulated broadband reflectometry to evaluate plasma density profiles. Compared to the usual numerical methods the recursive algorithm allows substantial time savings that can be important when processing massive amounts of data aiming to control the plasma in real time.