Title :
Space-Time Finite Integration Method for Electromagnetic Field Computation
Author_Institution :
Dept. of Electr. Eng., Kyoto Univ., Kyoto, Japan
fDate :
5/1/2011 12:00:00 AM
Abstract :
A finite integration method on a four-dimensional space-time grid is studied for the computation of electromagnetic wave propagation, where a non-uniform time-step distribution is naturally introduced. A dual grid based on the Hodge duality and the Lorentz metric is proposed to provide a simple constitutive equation for electromagnetic variables. An explicit time-marching scheme for a non-uniform space-time grid achieves a more efficient electromagnetic field computation than the conventional FDTD method.
Keywords :
electromagnetic wave propagation; integration; spatiotemporal phenomena; FDTD method; Hodge duality; Lorentz metric; electromagnetic field computation; electromagnetic wave propagation computation; explicit time-marching scheme; four-dimensional space-time grid; nonuniform space-time grid; nonuniform time-step distribution; space-time finite integration method; Finite difference methods; Joining processes; Materials; Measurement; Permittivity; Time domain analysis; Finite integration method; Hodge dual grid; Lorenz metric; space-time grid;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2010.2096503
