@article{10902/13018,
year = {2017},
month = {4},
url = {http://hdl.handle.net/10902/13018},
abstract = {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 (TMz ) 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 TMz case shows much worse accuracy than the TEz case. To remove this limitation, a split-field LOD-FDTD formulation for TMz waves is then considered, which exhibits the same dispersion relation as the LOD-FDTD method for TEz waves. The validity of the theoretical results is illustrated through numerical simulations.},
organization = {This work was supported in part by the Spanish Government (MINECO) and the European Commission (ERDF) under Research Projects TEC2014-55463-C3-2-P and TEC2014-55463-C3-3-P.},
publisher = {Institute of Electrical and Electronics Engineers Inc.},
publisher = {IEEE Antennas and Wireless Propagation Letters, 2017, 16, 2122-2125},
title = {Numerical dispersion relation for the 2D LOD-FDTD method in lossy media},
author = {Pereda Fernández, José Antonio and Grande Sáez, Ana María},
}