Wave scattering from graphene-covered circular dielectric wire collections analysed using the single-wire part...

Area of Science:

• Computational Electromagnetics
• Condensed Matter Physics
• Nanophotonics

Background:

• Diffraction radiation (DR) is a phenomenon occurring when charged particles interact with structures.
• Graphene-based nanostructures offer unique electromagnetic properties due to their tunable surface impedance.
• Accurate modeling of complex nanostructures is crucial for understanding their optical responses.

Purpose of the Study:

• To investigate infrared (IR) diffraction radiation (DR) from finite arrays of graphene-covered dielectric nanowires.
• To develop a robust computational method for analyzing the electromagnetic response of such structures.
• To explore resonance phenomena in collections of nanowires acting as open resonators.

Main Methods:

• Utilized quantum theory Kubo formalism and resistive-sheet boundary conditions to characterize graphene.
• Employed separation of variables in local coordinates and the addition theorem for cylindrical functions.
• Developed a method for explicit inversion of the single-wire problem for regularization and accuracy control.

Main Results:

• Successfully transformed the problem into a well-conditioned algebraic equation.
• Achieved explicit inversion of the single-wire scattering problem, enabling accurate calculations.
• Demonstrated the ability to study fine resonance effects related to natural modes of nanowire collections.

Conclusions:

• The developed analytical method provides an accurate and efficient way to study DR from graphene-covered nanowires.
• The approach allows for precise control over accuracy and facilitates the investigation of complex resonance phenomena.
• This work contributes to the advancement of full-wave methods in computational electromagnetics for nanostructured materials.