A HIE S-FDTD Method to Account for Geometrical and Material Uncertainties in Lossy Thin Panels

This article introduces an extended stochastic finite-difference time-domain (S-FDTD) method tailored to analyze thin panel structures. It aims to predict the standard deviation and probability density function (pdf) of electromagnetic magnitudes (fields and currents), assuming their uncertainties i...

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Bibliographic Details
Published in:IEEE transactions on antennas and propagation 2024-12, Vol.72 (12), p.9329-9336
Main Authors: Nunez, Miguel Ruiz-Cabello, Perez, Alberto Prados, Angulo, Luis Diaz, Bravo, Alberto Gascon, Gutierrez, Guadalupe G., Gil, Enrique Pascual, Atienza, Miriam Gonzalez
Format: Article
Language:English
Subjects:
Boundary conditions
Computational modeling
Crank-Nicholson method
Faces
Finite difference methods
Finite difference time domain (FDTD)
Finite difference time domain method
lossy thin panel
Mathematical models
Montecarlo (MC)
Panel method (fluid dynamics)
Parameter uncertainty
Probability density function
Probability density functions
Stability criteria
stochastic methods. modeling
Stochastic processes
Three-dimensional displays
Time-domain analysis
Uncertainty
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Summary:This article introduces an extended stochastic finite-difference time-domain (S-FDTD) method tailored to analyze thin panel structures. It aims to predict the standard deviation and probability density function (pdf) of electromagnetic magnitudes (fields and currents), assuming their uncertainties in geometrical and material parameters are both known. The method to account for the sub-cell nature of the thin panel method used is based on the broadly tested subgridding boundary condition (SGBC) approach. This method employs an hybrid implicit-explicit (HIE) scheme in an unconditional Crank-Nicolson (CN) formulation (CN-SGBC), ensuring that it does not introduce any extra limitations to the standard stability criterion of the finite difference time domain (FDTD) method. In the article, classical models of explicit formulations of S-FDTD are extended to the CN-SGBC HIE formulation.
ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2024.3484673