Monte Carlo-transformed field expansion method for simulating electromagnetic wave scattering by multilayered random...

Area of Science:

• Computational physics
• Electromagnetism
• Numerical methods

Background:

• Simulating electromagnetic wave scattering from complex media is crucial for various applications.
• Random interfaces in multilayered media present significant computational challenges.
• Existing methods often struggle with accuracy and efficiency for rough interfaces.

Purpose of the Study:

• To introduce an efficient and accurate numerical method for simulating electromagnetic scattering.
• To address the challenges posed by random interfaces in multilayered media.
• To provide a robust computational tool for analyzing wave propagation in disordered systems.

Main Methods:

• The Monte Carlo-transformed field expansion method is presented.
• It involves an interfacial problem formulation using impedance-impedance operators.
• Simulation employs a high-order perturbation of surfaces approach with efficient wave field computation.

Main Results:

• The numerical scheme demonstrates robust and high-order accuracy for small to moderate interface deformations.
• Significant computational savings are achieved through reusable LU decomposition matrices.
• Padé summation is shown to effectively handle large interface deviations.

Conclusions:

• The proposed method offers an efficient and accurate solution for electromagnetic scattering simulations.
• It provides a valuable tool for studying wave phenomena in complex, randomly structured materials.
• The technique is adaptable for various interface roughness scales, from minor to substantial.