Method of integral functionals for electromagnetic wave scattering from a double-periodic magnetodielectric layer

Area of Science:

• Electromagnetics
• Computational Physics
• Materials Science

Background:

• Analyzing complex grating structures is crucial for optical and electromagnetic applications.
• Existing methods may face challenges with arbitrary material profiles and 3D geometries.

Purpose of the Study:

• To develop a robust numerical method for analyzing three-dimensional (3D) gratings.
• To accurately model gratings composed of double-periodic magnetodielectric layers with arbitrary profiles.

Main Methods:

• A frequency-domain numerical method based on 3D volume integral equations for electric and magnetic polarization currents.
• Utilizes integral functionals and double Floquet-Fourier series expansion for solving.
• Models unit cells with parallelepiped segments of materials with complex permittivity and permeability.

Main Results:

• The method accurately calculates scattered fields outside the grating layer.
• Arbitrary 3D dielectric and metallic grating profiles can be flexibly modeled.
• Numerical examples validate the method's accuracy and usefulness against literature data.

Conclusions:

• The proposed numerical method provides an accurate and versatile tool for analyzing complex 3D gratings.
• It offers flexibility in modeling diverse grating geometries and material compositions.
• Demonstrates significant potential for applications in optics and electromagnetic devices.