研究目的
To develop and apply a three-dimensional stochastic FDTD algorithm for electromagnetic wave propagation in collisional magnetized plasma characterized by variable electron density, collision frequency, and background magnetic ?eld, accounting for the variability of the Earth’s magnetic ?eld and ionospheric parameters.
研究成果
The polynomial chaos expansion-based Galerkin approach was successfully applied to uncertainty quanti?cation of electromagnetic wave propagation in magnetized cold plasma, showing good agreement with Monte Carlo results. The method is computationally efficient and suitable for large 3-D plasma scenarios.
研究不足
The accuracy of the PCE FDTD model is limited in late-time results unless a higher order PCE model is used, which increases computational time. The model's applicability to actual geomagnetic ?eld amplitudes requires scaling.
1：Experimental Design and Method Selection:
The study employs a stochastic FDTD algorithm based on polynomial chaos expansion (PCE) to model electromagnetic wave propagation in magnetized plasma.
2：Sample Selection and Data Sources:
The ionosphere's electron densities, collision frequencies, and geomagnetic ?eld intensity are considered as random variables.
3：List of Experimental Equipment and Materials:
Computational resources include the Blue Waters supercomputer at the University of Illinois Urbana-Champaign.
4：Experimental Procedures and Operational Workflow:
The algorithm is validated against brute-force Monte Carlo results, with simulations performed using Hermite polynomials of order d = {1, 2, 4}.
5：4}. Data Analysis Methods:
5. Data Analysis Methods: The statistical characteristics (mean and standard deviation) of the electric and magnetic ?elds are studied under the effect of geomagnetic ?eld and ionosphere content variability.
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