Efficient and versatile surface integral approach to light scattering in stratified media

Area of Science:

• Optics and Photonics
• Computational Electromagnetics
• Materials Science

Background:

• Numerical simulations of light-matter interactions are crucial for advancing nano-optics.
• Stratified media present challenges for traditional surface integral methods due to complex Green's functions.
• Existing methods struggle with numerical difficulties, limiting their application.

Purpose of the Study:

• To develop an efficient and robust numerical treatment for light-matter interactions in stratified backgrounds.
• To overcome the limitations of the surface integral approach in layered media.
• To enable accurate and versatile simulations of plasmonic phenomena.

Main Methods:

• Generalization of the singularity extraction method to handle secondary-term singularities.
• Development of a spatial interpolation scheme to accelerate matrix filling without integral evaluations.
• Implementation of an efficient surface integral approach for layered media.

Main Results:

• The generalized singularity extraction method allows for arbitrary scatterer positioning.
• The spatial interpolation scheme significantly accelerates the matrix-filling process.
• The developed method demonstrates accuracy and versatility in simulating plasmonic problems.

Conclusions:

• The presented numerical method offers an efficient and robust solution for light-matter interaction simulations in stratified backgrounds.
• This advancement facilitates the study and design of complex plasmonic nanostructures.
• The method overcomes key numerical hurdles, expanding the applicability of surface integral techniques.