Numerical methods for nonlinear optics in plasmonic nanogaps (B10*)

• Subject Area: Mathematics
• Term: since 2023
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 258734477

In this project we aim at the construction and the analysis of innovative numerical methods to study nonlinear optics in plasmonic nanogaps which contain a 2D material in their interior. The mathematical modeling consists of (nonlinear) Maxwell equations coupled to a Schrödinger equation via an interface condition, which accounts for the 2D material. We want to construct discretizations in space and time for the fully coupled system and provide rigorous error bounds for these schemes.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1173: Wave phenomena: analysis and numerics
• Applicant Institution: Karlsruher Institut für Technologie
• Project Heads: Dr. Benjamin Dörich; Professorin Dr. Marlis Hochbruck