A second-order 3D electromagnetics algorithm for curved interfaces between anisotropic dielectrics on a Yee mesh

作者：Bauer Carl A^*; Werner Gregory R; Cary John R

来源：Journal of Computational Physics, 2011, 230(5): 2060-2075.

DOI：10.1016/j.jcp.2010.12.005

• Electromagnetic
• Yee
• Anisotropic dielectric
• Boundary
• Second-order

A new frequency-domain electromagnetics algorithm is developed for simulating curved interfaces between anisotropic dielectrics embedded in a Yee mesh with second-order error in resonant frequencies. The algorithm is systematically derived using the finite integration formulation of Maxwell's equations on the Yee mesh. Second-order convergence of the error in resonant frequencies is achieved by guaranteeing first-order error on dielectric boundaries and second-order error in bulk (possibly anisotropic) regions. Convergence studies, conducted for an analytically solvable problem and for a photonic crystal of ellipsoids with anisotropic dielectric constant, both show second-order convergence of frequency error; the convergence is sufficiently smooth that Richardson extrapolation yields roughly third-order convergence. The convergence of electric fields near the dielectric interface for the analytic problem is also presented.

• 出版日期2011-3-1