title: Contour-path effective permittivities for the two-dimensional finite-difference time-domain method.
abstract: Effective permittivities for the two-dimensional Finite- Difference Time-Domain (FDTD) method are derived using a contour path approach that accounts for the boundary conditions of the electromagnetic field at dielectric interfaces. A phenomenological formula for the effective permittivities is also proposed as an effective and simpler alternative to the previous result. Our schemes are validated using Mie theory for the scattering of a dielectric cylinder and they are compared to the usual staircase and the widely used volume-average approximations. Significant improvements in terms of accuracy and error fluctuations are demonstrated, especially in the calculation of resonances.
authors.forename: Ahmad
authors.initials: A
authors.lastname: Mohammadi
authors.forename: Hamid
authors.initials: H
authors.lastname: Nadgaran
authors.forename: Mario
authors.initials: M
authors.lastname: Agio