Three-dimensional efficient dispersive alternating-direction-implicit finite-difference time-domain algorithm using a quadratic complex rational function.

Efficient unconditionally stable FDTD method is developed for the electromagnetic analysis of dispersive media. Toward this purpose, a quadratic complex rational function (QCRF) dispersion model is applied to the alternating-direction-implicit finite-difference time-domain (ADI-FDTD) method. The 3-D update equations of QCRF-ADI-FDTD are derived using Maxwell's curl equations and the constitutive relation. The periodic boundary condition of QCRF-ADI-FDTD is discussed in detail. A 3-D numerical example shows that the time-step size can be increased by the proposed QCRF-ADI-FDTD beyond the Courant-Friedrich-Levy (CFL) number, without numerical instability. It is observed that, for refined computational cells, the computational time of QCRF-ADI-FDTD is reduced to 28.08 % of QCRF-FDTD, while the L2 relative error norm of a field distribution is 6.92 %.

[1]  B. Ju,et al.  Effect of geometric lattice design on optical/electrical properties of transparent silver grid for organic solar cells. , 2014, Optics express.

[2]  Qing Huo Liu,et al.  The PSTD algorithm: A time-domain method requiring only two cells per wavelength , 1997 .

[3]  Fernando L. Teixeira,et al.  Plasmon-enhanced optical absorption and photocurrent in organic bulk heterojunction photovoltaic devices using self-assembled layer of silver nanoparticles , 2010 .

[4]  Kyung-Young Jung,et al.  An Iterative Unconditionally Stable LOD–FDTD Method , 2008, IEEE Microwave and Wireless Components Letters.

[6]  Y. Park,et al.  Mode-Matching Analysis of a Coaxially Fed Annular Slot Surrounded with Corrugations , 2014 .

[7]  Jeahoon Cho,et al.  Accurate FDTD Dispersive Modeling for Concrete Materials , 2013 .

[8]  P. Bermel,et al.  Time domain simulation of tandem silicon solar cells with optimal textured light trapping enabled by the quadratic complex rational function. , 2014, Optics express.

[9]  R. Mundle,et al.  Effects of dielectric thickness on optical behavior and tunability of one-dimensional Ag/SiO₂ multilayered metamaterials. , 2014, Optics express.

[10]  Kyung-Young Jung,et al.  Application of the Modal CFS-PML-FDTD to the Analysis of Magnetic Photonic Crystal Waveguides , 2011, IEEE Microwave and Wireless Components Letters.

[11]  S. Aksoy.  An Alternative Algorithm for Both Narrowband and Wideband Lorentzian Dispersive Materials Modeling in the Finite-Difference Time-Domain Method , 2007, IEEE Transactions on Microwave Theory and Techniques.

[12]  Kyung-Young Jung,et al.  Multispecies ADI-FDTD Algorithm for Nanoscale Three-Dimensional Photonic Metallic Structures , 2007, IEEE Photonics Technology Letters.

[13]  Zhizhang Chen,et al.  A finite-difference time-domain method without the Courant stability conditions , 1999 .

[14]  R. Lee,et al.  On Numerical Artifacts of the Complex Envelope ADI-FDTD Method , 2009, IEEE Transactions on Antennas and Propagation.

[15]  Kyung-Young Jung,et al.  $\hbox{Au/SiO}_{2}$ Nanoring Plasmon Waveguides at Optical Communication Band , 2007, Journal of Lightwave Technology.

[16]  Fernando L. Teixeira,et al.  Two-Stage Perfectly Matched Layer for the Analysis of Plasmonic Structures , 2010, IEICE Trans. Electron..

[17]  Stéphanie Buil,et al.  FDTD simulations of localization and enhancements on fractal plasmonics nanostructures. , 2012, Optics express.

[18]  Hyeongdong Kim,et al.  FDTD Dispersive Modeling of Human Tissues Based on Quadratic Complex Rational Function , 2013, IEEE Transactions on Antennas and Propagation.

[19]  Surface Plasmon Coplanar Waveguides: Mode Characteristics and Mode Conversion Losses , 2009, IEEE Photonics Technology Letters.

[20]  I. Sakagami,et al.  Effective 2-Debye-Pole FDTD Model of Electromagnetic Interaction Between Whole Human Body and UWB Radiation , 2007, IEEE Microwave and Wireless Components Letters.

[21]  Gang Liu,et al.  Perfectly matched layer media with CFS for an unconditionally stable ADI-FDTD method , 2001 .

[22]  Ji Chen,et al.  An ADI-FDTD method for periodic structures , 2005, IEEE Transactions on Antennas and Propagation.

[23]  P. Yang,et al.  Application of the pseudo-spectral time domain method to compute particle single-scattering properties for size parameters up to 200 , 2012 .

[24]  P. Bevelacqua,et al.  Finite-difference and pseudospectral time-domain methods applied to backward-wave metamaterials , 2004, IEEE Transactions on Antennas and Propagation.