Generalized tensor FDTD method for sloped dispersive interfaces and thin sheets

Area of Science:

• Nanophotonics and Plasmonics
• Computational Electromagnetics
• Materials Science

Background:

• Accurate modeling of curved plasmonic interfaces is crucial for designing advanced optical metamaterials.
• Existing numerical methods face challenges in efficiently simulating these complex geometries.

Purpose of the Study:

• To develop a modified Finite-Difference Time-Domain (FDTD) formulation for precise simulation of curved plasmonic interfaces.
• To enable the accurate design and analysis of nanophotonic structures with curved elements.

Main Methods:

• Utilized a standard rectangular FDTD mesh combined with tensor effective permittivities for interface cells.
• Implicitly enforced field boundary conditions for curved surfaces.
• Applied the method to thin curved dispersive layers.

Main Results:

• Demonstrated accurate modeling of curved plasmonic interfaces.
• Successfully performed periodic analysis of a silver nanorod array.
• Computed scattering parameters for a thin dispersive ring in a waveguide.

Conclusions:

• The modified FDTD technique provides an effective and accurate approach for simulating curved plasmonic structures.
• This method facilitates the design of novel optical metamaterials and nanophotonic devices.