New adaptive mesh development for accurate near-field enhancement computation

Area of Science:

• Plasmonics and Nanophotonics
• Computational Electromagnetics
• Numerical Methods

Background:

• Accurate near-field enhancement computation is vital for optimizing plasmonic nanostructures.
• Existing methods like Green's dyadic are established, but challenges remain for the finite element method (FEM).
• FEM's efficiency is linked to non-Cartesian meshes, posing computational hurdles.

Purpose of the Study:

• To develop an efficient adaptive mesh process for FEM in plasmonics.
• To address the open problem of accurate near-field enhancement computation using FEM with non-Cartesian meshes.
• To significantly improve computational speed and reduce resource requirements.

Main Methods:

• Introduction of a novel adaptive mesh process.
• Utilizing a posteriori error indicator estimation based on the physical solution.
• Application to finite element method (FEM) computations.

Main Results:

• Drastic acceleration of solution convergence.
• Significant minimization of memory requirements.
• Substantial reduction in overall computational time.

Conclusions:

• The proposed adaptive mesh process offers a breakthrough for FEM in plasmonics.
• This method enhances the feasibility of complex nanostructure optimization.
• It paves the way for more efficient and accessible plasmonic device design.