Journal article
Staircase-free finite-difference time-domain formulation for general materials in complex geometries
A stable Cartesian grid staircase-free finite-difference time-domain formulation for arbitrary material distributions in general geometries is introduced. It is shown that the method exhibits higher accuracy than the classical Yee scheme for complex geometries since the computational representation of physical structures is not of a staircased nature, Furthermore, electromagnetic boundary conditions are correctly enforced.
The method significantly reduces simulation times as fewer points per wavelength are needed to accurately resolve the wave and the geometry. Both perfect electric conductors and dielectric structures have been investigated, Numerical results are presented and discussed.
| Language: | English |
|---|---|
| Publisher: | IEEE |
| Year: | 2001 |
| Pages: | 749-756 |
| ISSN: | 15582221 and 0018926x |
| Types: | Journal article |
| DOI: | 10.1109/8.929629 |
Computational models in electromagnetics and optics Finite-difference time-domain methods Numerical solution of partial differential equations Staircase Time-domain solution of Maxwell's equations
Boundary conditions FDTD Finite difference methods Geometrical optics Geometry Integrated optics Maxwell equations Maxwell's equations Optical devices PEC resonator Partial differential equations Solid modeling Time domain analysis complex geometries computational representation conductors (electric) dielectric bodies dielectric structures dielectric waveguides dielectric waveguiding material electromagnetic boundary conditions finite difference time-domain analysis general materials lD PEC cavity material distribution perfect electric conductors photonic band gap photonic crystal/bandgap structures physical structures plane wave incidence resonators simulation time spatial second-order accuracy stable Cartesian grid staircase-free finite-difference time-domain subwavelength diffractive optical elements
