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application of symplectic geometry methods in calculating ray tracing equations

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.

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.

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