Simple Trapezoidal Recursive Convolution Technique for the Frequency-Dependent FDTD Analysis of a Drude-Lorentz Model

• Published in: IEEE photonics technology letters 2009-01, Vol.21 (2), p.100-102
• Main Authors: Shibayama, J., Ando, R., Nomura, A., Yamauchi, J., Nakano, H.
• Format: Article
• Language: English
• Subjects: Convolution; Finite difference methods; Finite-difference time-domain (FDTD); Frequency; Optical surface waves; Optical waveguides; Piecewise linear approximation; piecewise linear recursive convolution (PLRC); Piecewise linear techniques; Plasmons; surface plasmon polariton; Surface waves; Time domain analysis; trapezoidal recursive convolution (TRC)
• ISSN: 1041-1135; 1941-0174
• DOI: 10.1109/LPT.2008.2009003

A concise formulation of the frequency-dependent finite-difference time-domain (FDTD) method is presented using the trapezoidal recursive convolution (TRC) technique for the analysis of a Drude-Lorentz model. The TRC technique requires single convolution integral in the formulation as in the recursive convolution (RC) technique, while maintaining the accuracy comparable to the piecewise linear RC (PLRC) technique with two convolution integrals. The TRC technique is introduced not only to the traditional explicit FDTD, but also to the unconditionally stable implicit FDTD based on the locally one-dimensional (LOD) scheme. Through the analysis of a surface plasmon waveguide, the effectiveness of the TRC technique is investigated for both explicit FDTD and LOD-FDTD, along with the existing RC and PLRC techniques.