Abstract
In Yee's finite-difference time-domain (FDTD) scheme, effective permittivities are often used to account for offsets of dielectric interfaces from grid nodes. The specific values of these effective permittivities must be chosen in such a way that the second-order accuracy of the scheme is preserved. It is shown in this letter that, contrary to more elaborate techniques proposed recently for the development of these effective permittivities, a rigorous application of the integral forms of Maxwell's curl equations on the Yee's lattice leads to the desired values in a straightforward fashion. Numerical experiments in a two-dimensional (2-D) cavity are used to verify that the calculated effective permittivities preserve the second-order accuracy of the FDTD scheme.
Original language | English (US) |
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Pages (from-to) | 158-160 |
Number of pages | 3 |
Journal | IEEE Microwave and Wireless Components Letters |
Volume | 11 |
Issue number | 4 |
DOIs | |
State | Published - Apr 2001 |
Keywords
- Convergence of numerical methods
- FDTD methods
- Numerical analysis
- Permittivity
ASJC Scopus subject areas
- Condensed Matter Physics
- Electrical and Electronic Engineering