Name
Title | ||
|---|---|---|
Multiscale Approach And Analysis For Transient Simulation Of Light Interaction With Nonlocal Metallic Nanostructure Arrays |
Abstract | ||
|---|---|---|
This paper presents an efficient multiscale approach for solving the time-domain Maxwell's equations with rapidly oscillating coefficients coupled to a wave-like equation, which arise in the simulation of light interaction with composite materials containing metallic nanostructure arrays with spatial nonlocality embedded in a dielectric host. A key feature of this system is that the new PDE describing the evolution of the polarization current is only defined in the domain of metallic nanostructures. We first extend the equation satisfied by the polarization current into the domain of the dielectric medium in a novel way. The well-posedness of the original system and the extended system are proved and the extension error between these two systems is analyzed rigorously with an exact transparent boundary condition. Next we apply the asymptotic homogenization method to derive the homogenized system and define the multiscale approximate solution for the extended system. Under realistic assumptions, we prove that the homogenized polarization current is negligible and that the homogenized coupled system can be replaced by the homogenized Maxwell's equations with guaranteed accuracy to reduce the computational cost. Finally, to recover the spatial nonlocal effects, the original system is solved in each isolated metallic nanostructure with boundary conditions given by the multiscale approximate solution. Numerical examples demonstrate that our multiscale approach is capable of yielding accurate results with significant computational savings compared to solving the original system directly. |
Year | DOI | Venue |
|---|---|---|
2021 | 10.1137/20M1359195 | MULTISCALE MODELING & SIMULATION |
Keywords | DocType | Volume |
spatial nonlocality, metallic nanostructure arrays, multiscale methods, homogenization | Journal | 19 |
Issue | ISSN | Citations |
2 | 1540-3459 | 0 |
PageRank | References | Authors |
0.34 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yongwei Zhang | 1 | 0 | 0.68 |
| Chupeng Ma | 2 | 0 | 0.68 |
| Liqun Cao | 3 | 0 | 0.34 |