Finite-difference frequency domain electromagnetics with the void space domain decomposition method
Abstract
The finite-difference frequency domain (FDFD) method has received increasing interest, owing to its ability to provide useful information for inverse design. Here, I introduce a new algorithm that provides FDFD solutions, the void space domain decomposition (VSDD) method. It features solve speeds comparable to those of the finite-difference time domain (FDTD) method, but enables domains 10 times larger or more with typical compute configurations. With VSDD, there is no need to solve a matrix equation that spans the entire problem domain. The network bandwidth requirement, a key limitation of FDTD, is reduced by about a factor of 35 or more, even though both algorithms require comparable numbers of voxel operations.
Fields of Study & Subjects
Electromagnetic Simulation and Numerical Methods
Electromagnetic Scattering and Analysis
Geophysical and Geoelectrical Methods
Publication details
- Journal / source
- Optics Express
- Publisher
- Optica Publishing Group
- Volume
- 34
- Issue
- 4
- Pages
- 6167–6167
- Publication date
- 4 February 2026
- Language
- EN