An efficient and high-order convergence mode solver for solving graphene and phosphorene-based waveguides.

Area of Science:

• Photonics and Nanomaterials
• Computational Electromagnetics

Background:

• Two-dimensional (2D) materials enable strong light-matter interactions in plasmonic waveguides for photonic devices.
• Sub-nanoscale phenomena in these waveguides require precise numerical simulations.
• Existing methods like finite difference time domain (FDTD) and finite element method (FEM) have high computational demands.

Purpose of the Study:

• To introduce a multi-domain pseudospectral method (MPM) for efficient and accurate computation of guided modes in 2D material-based plasmonic waveguides.
• To address the computational burden associated with traditional numerical methods for sub-nanoscale photonic device analysis.

Main Methods:

• Development and application of a multi-domain pseudospectral method (MPM).
• Modeling of graphene- and black phosphorus-based plasmonic waveguides.
• Comparison of MPM accuracy and computational cost against analytical methods and FEM.

Main Results:

• MPM demonstrates high accuracy and fast convergence for calculating mode characteristics.
• The method significantly reduces computational cost compared to FEM and analytical solutions.
• Exponential accuracy is preserved even with relatively low computational resources.

Conclusions:

• The proposed MPM is a highly efficient and accurate computational tool for studying 2D material-based photonics.
• MPM alleviates the computational load of traditional methods, facilitating research in nanoscale photonics.
• This approach enables deeper exploration of phenomena in atomically thin plasmonic waveguides.