Generalized FDTD scheme for the simulation of electromagnetic scattering in moving structures

Area of Science:

• Electromagnetism
• Computational Physics
• Applied Engineering

Background:

• Electromagnetic scattering from moving structures is crucial in physics and engineering.
• Existing numerical methods lack general solutions for problems involving moving boundaries.

Purpose of the Study:

• To introduce a generalized Finite-Difference Time-Domain (FDTD) scheme for electromagnetic scattering in moving structures.
• To provide a numerical solution where none previously existed.

Main Methods:

• Extension of the standard FDTD Yee cell and stencil.
• Inclusion of auxiliary, unphysical fields alongside physical fields.
• Facilitation of straightforward application of moving boundary conditions.

Main Results:

• A generalized FDTD scheme capable of handling moving boundary conditions is presented.
• The scheme was successfully applied to diverse scenarios: moving interface, slab, crystal, and gradient.
• Systematic validation against exact solutions confirmed the scheme's accuracy.

Conclusions:

• The proposed generalized FDTD scheme offers a robust numerical solution for electromagnetic scattering in moving structures.
• This advancement addresses a long-standing deficiency in computational electromagnetics.
• The method is validated and applicable to various complex moving scenarios.