One-step leapfrog ADI-FDTD method for simulating electromagnetic wave propagation in general dispersive media

Area of Science:

• Computational Electromagnetics
• Materials Science
• Plasma Physics

Background:

• Simulating electrically dispersive media is crucial for understanding electromagnetic wave interactions.
• Existing methods may face challenges with accuracy and computational efficiency for complex materials.
• Material dispersion properties require sophisticated modeling techniques.

Purpose of the Study:

• To reformulate the one-step leapfrog ADI-FDTD method for general electrically dispersive media.
• To incorporate material dispersive properties using equivalent polarization currents and auxiliary differential equations.
• To validate the adapted method for characterizing electromagnetic phenomena in plasma and graphene.

Main Methods:

• Reformulation of the one-step leapfrog ADI-FDTD method.
• Modeling dispersive properties via equivalent polarization currents and auxiliary differential equations (ADE).
• Application to waveguide propagation in magnetized plasma, graphene transmission, and SPP propagation in graphene.

Main Results:

• The adapted ADI-FDTD method effectively simulates electromagnetic wave propagation in magnetized plasma.
• Accurate characterization of transmission coefficients for plane waves incident on biased graphene.
• Successful modeling of surface plasmon polaritons (SPPs) on biased graphene.
• Numerical results demonstrate stability, accuracy, and computational efficiency.

Conclusions:

• The proposed one-step leapfrog ADI-FDTD algorithm is a stable, accurate, and computationally efficient method for simulating dispersive media.
• The reformulated method provides a robust tool for analyzing complex electromagnetic phenomena in plasma and graphene.
• The approach offers a valuable alternative to existing numerical techniques for electromagnetic simulations.