Title :
Concise frequency-dependent formulation for LOD-FDTD method using Z transforms
Author :
Shibayama, J. ; Takahashi, R. ; Nomura, A. ; Yamauchi, J. ; Nakano, H.
Author_Institution :
Fac. of Eng., Hosei Univ., Tokyo
Abstract :
The Z transform (ZT) theory is newly introduced into the unconditionally stable locally one-dimensional (LOD) FDTD method, in which a complicated treatment of convolution integrals is not required. Through analysis of a surface plasmon waveguide, the accuracy of the ZT-LOD-FDTD is found to be retained for a large time step allowed in an implicit scheme. The computational time is reduced to 25% of that of the traditional explicit ZT-FDTD, maintaining comparable accuracy.
Keywords :
Z transforms; finite difference time-domain analysis; optical waveguide theory; surface plasmons; Z transform theory; finite difference time domain method; frequency-dependent formulation; locally one-dimensional LOD-FDTD method; optical waveguide; surface plasmon waveguide;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:20081415