Huygens Subgridding for 3-D Frequency-Dependent Finite-Difference Time-Domain Method

• Published in: IEEE transactions on antennas and propagation Vol. 60; no. 9; pp. 4336 - 4344
• Main Authors: Abalenkovs, M., Costen, F., Berenger, J.-P, Himeno, R., Yokota, H., Fujii, M.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01-09-2012; Institute of Electrical and Electronics Engineers
• Subjects: Applied classical electromagnetism; Computational electromagnetics; Dispersion; electromagnetic fields; electromagnetic modeling; Electromagnetic wave propagation, radiowave propagation; Electromagnetism; electron and ion optics; Exact sciences and technology; Finite difference methods; Fundamental areas of phenomenology (including applications); Heart; Media; multigrid methods; numerical simulation; Physics; Propagation; Time domain analysis; Performance evaluation; multigrid methods; Dispersive media; Frequency dependence; Subgrid scale method; Digital simulation; Finite difference time-domain analysis; finite difference methods; electromagnetic modeling; Electromagnetic fields; Implementation; Relaxation; Three dimensional model; Wave propagation; Multigrid; Differential equations; One dimensional model; Computational electromagnetics; Modelling; Huygens principle; numerical simulation; Finite difference method
• ISSN: 0018-926X; 1558-2221
• DOI: 10.1109/TAP.2012.2207039

Subgridding methods are often used to increase the efficiency of the wave propagation simulation with the Finite-Difference Time-Domain method. However, the majority of contemporary subgridding techniques have two important drawbacks: the difficulty in accommodating dispersive media and the inability for physical interfaces to cross the subgridding interface. This paper presents an extension of the frequency-dependent Huygens subgridding method from one dimension to three dimensions. Frequency dependency is implemented via the Auxiliary Differential Equation approach using the one-pole Debye relaxation model. Numerical experiments indicate that subgridding interfaces can be placed in various Debye media as well as across the physical interface .