What is it about?

A symplectic difference scheme was used to calculate ray tracing equations with Hamilton form. In a calculation example, the propagation trajectories of waves in non-magnetized plasmas are calculated by using the symplectic geometric algorithm, and the results are compared with those obtained by Runge-Kutta-Fehlberg algorithm. The results show that the symplectic geometric algorithm has a unique advantage in maintaining the propagation trajectory and dispersion function value.

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Why is it important?

Ray tracing method is an important tool of studying wave propagation in plasma. The propagation trajectory must be calculated by a high degree of credibility method.

Perspectives

By comparing the symplectic geometric algorithm with the traditional numerical algorithm, we can see the advantage of the symplectic geometric algorithm in maintaining the dispersion function value. The symplectic geometric algorithm can maintain a relatively stable dispersion function value.

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This page is a summary of: Application of implicit symplectic difference scheme in calculating propagation trajectory of wave in non-magnetized plasma, Journal of Computational Methods in Sciences and Engineering, November 2017, IOS Press,
DOI: 10.3233/jcm-170761.
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