The application of the quickest descent method to the analysis of the H(alpha) line in loops

Mathematics

Scientific paper

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Coronal Loops, Doppler Effect, H Alpha Line, Line Shape, Line Spectra, Mathematical Models, Optical Thickness, Solar Limb, Solar Prominences, Solar Spectra, Spectrum Analysis, Steepest Descent Method, Computerized Simulation, Convergence, Least Squares Method, Linearization, Matrices (Mathematics), Microdensitometers, Spectroheliographs, Taylor Series

Scientific paper

The quickest descent method and the multi-layer model are proposed to analyze symmetrical and asymmetrical line profiles of loops in this paper. By fitting observed lines, the physical parameters such as Doppler width, Delta lambdaD, the optical thickness at line center, taulambda(sub 0), and the line displacement, Delta lambda0, can be directly obtained. Using this method, some symmetrical and asymmetrical line profiles of both the loop prominence on February 18, 1984 and the loop on August 17, 1989 are fitted. It is found that the method mentioned in this paper is characterized by rapid convergence, high precision, and less scatter.

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