Quantitative Analysis of Confidence Interval for Electromagnetic Characteristics of Hypersonic Targets
DOI:
https://doi.org/10.13052/2025.ACES.J.401001Keywords:
Electromagnetic characteristics, hypersonic target, polynomial chaos expansion, uncertaintyAbstract
In response to the current lack of rapid and efficient techniques for uncertainty analysis in electromagnetic problems, this paper proposes an efficient uncertainty quantification method based on the finite-difference time-domain (FDTD) method. A conformal FDTD formulation integrated with polynomial chaos expansion (PCE) is comprehensively derived. For random input variables exhibiting Gaussian distribution characteristics, Hermite polynomial expansion and Galerkin testing are employed. Furthermore, by incorporating the Runge-Kutta time-stepping scheme, the method efficiently quantifies electromagnetic scattering characteristics considering stochastic variations in plasma electron density of hypersonic targets. Numerical experiments demonstrate that the proposed approach provides a reliable framework for uncertainty analysis in complex electromagnetic environments.
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