title: Accurate modeling of dielectric interfaces by the effective permittivities for the fourth-order symplectic finite-difference time-domain method.
abstract: The fourth-order finite-difference time-domain (FDTD) method using a symplectic integrator propagator can calculate the propagation of the electromagnetic waves with very low dispersion error in the region of a constant or smoothly varying index profile. An additional technique is required for the problem with the discontinuous dielectric interfaces. We derived the third-order effective permittivities at dielectric interfaces for the fourth-order FDTD method in the case of 2D TE polarization. As the required accuracy level is increased, the memory resources used by the fourth-order FDTD method with the effective permittivities are reduced severalfold or more compared with the standard FDTD method. The accurate performance of the proposed method is demonstrated through numerical examples.
authors.affiliation: NTT Photonics Laboratories, NTT Corporation 3-1, Morinosato Wakamiya, Atsugi-shi, Kanagawa 243-0198, Japan. hirono@opt.nel.co.jp
authors.forename: Takuo
authors.initials: T
authors.lastname: Hirono
authors.forename: Yuzo
authors.initials: Y
authors.lastname: Yoshikuni