Frequency-Dependent Locally One-Dimensional FDTD Implementation With a Combined Dispersion Model for the Analysis of Surface Plasmon Waveguides

• Published in: IEEE photonics technology letters Vol. 20; no. 10; pp. 824 - 826
• Main Authors: Shibayama, J., Takahashi, R., Yamauchi, J., Nakano, H.
• Format: Journal Article
• Language: English
• Published: New York IEEE 15.05.2008; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Convolution; Dispersions; Finite difference method; Finite difference methods; Finite difference time domain method; Frequency; Locally one-dimensional finite-difference time-domain (LOD-FDTD) method; Mathematical analysis; Mathematical models; Optical computing; Optical surface waves; Optical waveguides; piecewise linear recursive convolution (PLRC) method; Piecewise linear techniques; Plasmons; Recursive; surface plasmon polariton (SPP); Surface waves; Time domain analysis; Wavelengths
• ISSN: 1041-1135; 1941-0174
• DOI: 10.1109/LPT.2008.921830

The implicit finite-difference time-domain (FDTD) method based on the locally one-dimensional scheme is extended to the frequency-dependent version for the analysis of the Drude-Lorentz model. The piecewise linear recursive convolution method is introduced, in which a large time step can be utilized. Analyses of a metal-cladding optical waveguide supporting a surface plasmon polariton reveal that the present method provides wavelength responses comparable to those of the explicit FDTD, while reducing the computational time to less than 50%.