RT info:eu-repo/semantics/article T1 Numerical Dispersion Relation for the 2-D LOD-FDTD Method in Lossy Media A1 Pereda, José A. A1 Grande Sáez, Ana María AB A closed-form expression is derived for the numerical dispersion relation of the 2-D locally one-dimensional finite-difference time-domain (LOD-FDTD) method in lossy media. In contrast to the lossless formulation, we found that transverse-electric (TEz) and transverse-magnetic (TM z ) waves in lossy media exhibit different numerical dispersion relations. Moreover, when the material relaxation-time constant is not well resolved by the integration time-step, the TM z case shows much worse accuracy than the TE z case. To remove this limitation, a split-field LOD-FDTD formulation for TM z waves is then considered, which exhibits the same dispersion relation as the LOD-FDTD method for TE z waves. The validity of the theoretical results is illustrated through numerical simulations. PB Institute of Electrical and Electronics Engineers (IEEE) SN 1536-1225 YR 2017 FD 2017 LK http://uvadoc.uva.es/handle/10324/33610 UL http://uvadoc.uva.es/handle/10324/33610 LA eng NO IEEE Antennas and Wireless Propagation Letters, 2017, Volume 16, pp. 2122-2125 NO Producción Científica DS UVaDOC RD 27-abr-2024