Transient analysis of electromagnetic wave interactions on plasmonic nanostructures using a surface integral equation...

Area of Science:

• Computational Electromagnetics
• Plasmonics and Nanophotonics
• Numerical Analysis

Background:

• Understanding transient electromagnetic interactions is crucial for developing advanced plasmonic nanodevices.
• Existing methods often face challenges in accurately and efficiently simulating these phenomena in the time domain.
• Surface integral equations (SIEs) offer a robust framework for analyzing electromagnetic scattering and interaction problems.

Purpose of the Study:

• To develop and validate a novel time-domain solver for analyzing transient electromagnetic interactions on plasmonic nanostructures.
• To implement the Poggio-Miller-Chan-Harrington-Wu-Tsai (PMCHWT) surface integral equation (SIE) within a marching-on-in-time (MOT) framework.
• To efficiently compute convolutions involving the plasmonic medium's permittivity and Green function.

Main Methods:

• The Poggio-Miller-Chan-Harrington-Wu-Tsai (PMCHWT) surface integral equation (SIE) is employed.
• Equivalent electric and magnetic current densities are expanded using Rao-Wilton-Glisson and polynomial basis functions in space and time.
• A marching-on-in-time (MOT) scheme is utilized to solve the resulting system of equations, incorporating efficient convolution computations and fast relaxed vector fitting for frequency-to-time domain conversion.

Main Results:

• A new MOT-PMCHWT-SIE solver is successfully developed for transient electromagnetic analysis of plasmonic nanostructures.
• The solver efficiently computes necessary convolutions without increasing computational complexity.
• Numerical results validate the accuracy and applicability of the proposed solver.

Conclusions:

• The developed MOT-PMCHWT-SIE solver provides an accurate and efficient tool for simulating transient electromagnetic phenomena in plasmonic nanostructures.
• The method demonstrates broad applicability for analyzing complex nanophotonic systems.
• This work contributes to the advancement of computational electromagnetics for nanophotonics research.