An analytical algorithm for fast calculation of the Abel inversion for density profilemeasurement in tokamak is developed.Based upon the assumptions that the particle source isnegligibly small in the plasma core region,density profiles can be approximated by an asymmetricalGaussian distribution controlled only by one parameter VoID and VoID is constant along theradial direction,the analytical algorithm is presented and examined against a testing profile.Thevalidity is confirmed by benchmark with the standard Abel inversion method and the theoreticalprofile.The scope of application as well as the error analysis is also discussed in detail.
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