Three-Dimensional Stable Nonorthogonal FDTD Algorithm with Adaptive Mesh Refinement for Solving Maxwell's Equations
Abstract
The main objective of our effort is the development of stable, accurate and efficient Maxwell solvers. We focus on mathematical studies of the key unresolved issues in the Finite-Difference Time-Domain (FDTD) electromagnetic simulations. We have extended the subpixel smoothing FDTD method to material interface between dielectric and dispersive media by local coordinate rotation. A novel stable anisotropic FDTD algorithm based on the overlapping cells has been developed for solving Maxwell's equations of electrodynamics in anisotropic media with material interface between anisotropic dielectrics and dispersive medium or Perfect Electric Conductor (PEC). We have extended the overlapping Yee FDTD method to locally non-orthogonal grids, with application to the optical force computation on nanoparticles. We have developed a moving window full Maxwell solver algorithm with perfectly matched absorbing layer (PML) boundary conditions in order to accurately simulate the propagation of localized waves over a very long distance (millions of wavelength) in complex media. Furthermore, we have implemented the Adaptive Mesh Refine.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 2013
- Accession Number
- ADA571241
Entities
People
- Jinjie Liu
Organizations
- Delaware State University