Computer Physics Communications Program LibraryPrograms in Physics & Physical Chemistry |

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Manuscript Title: Inversion of Abel's integral equation - application to plasma
spectroscopy. | ||

Authors: C. Fleurier, J. Chapelle | ||

Program title: ABEL | ||

Catalogue identifier: AAAC_v1_0Distribution format: gz | ||

Journal reference: Comput. Phys. Commun. 7(1974)200 | ||

Programming language: Fortran. | ||

Computer: IBM 360/25. | ||

Operating system: DOS/360. | ||

RAM: 7K words | ||

Word size: 32 | ||

Keywords: Plasma physics, Spectroscopy, Abel integral equation, Least squares, Approximation, Data interpretation. | ||

Classification: 19.4. | ||

Nature of problem:The purpose of this program is to determine the radial distribution of the emission coefficient from the measured intensity distribution emitted by an extended source of radiation, particularly a plasma source. The source is assumed to be optically thin and axially symmetrical. | ||

Solution method:This problem is solved by inverting Abel's integral equation. A smoothing procedure is made on the experimental curve in order to attenuate the random errors before computing the derivative. The integral is calculated analytically in a small interval on the right of the discontinity point, the other part is estimated numerically. | ||

Restrictions:The computation is nearly entirely numerical and needs equally spaced points for the data. | ||

Running time:For an experimental curve defined by 21 points the calculation time is less than 30 s on the IBM 360/25 computer. |

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