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An efficient hybrid method for scattering from arbitrary dielectric objects buried under a rough surface: TM case.

Run-Wen Xu, Li-Xin Guo

    Optics Express
    |March 26, 2014
    PubMed
    Summary

    This study introduces a hybrid finite element-boundary integral equation (FEM-BIE) method for analyzing electromagnetic scattering from buried objects under rough ground. The novel approach significantly improves computational efficiency compared to traditional methods.

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    Area of Science:

    • Computational Electromagnetics
    • Electromagnetic Scattering Theory
    • Numerical Methods in Physics

    Background:

    • Traditional finite element methods (FEM) face computational challenges with large domains, especially for scattering problems involving rough surfaces and buried objects.
    • Artificial boundaries like perfectly matched layers (PML) and absorbing boundary conditions (ABC) increase computational domain size, limiting efficiency.
    • Investigating electromagnetic scattering of multiple dielectric objects beneath a dielectric rough ground requires efficient numerical techniques.

    Purpose of the Study:

    • To present a hybrid finite element method (FEM) combined with boundary integral equation (BIE) for analyzing 2D electromagnetic scattering.
    • To investigate the scattering properties of multiple dielectric objects buried beneath a dielectric rough ground for the transverse magnetic (TM) case.
    • To demonstrate the computational efficiency and versatility of the hybrid FEM-BIE method compared to traditional FEM.

    Main Methods:

    • A hybrid FEM-BIE approach is developed, utilizing a boundary integral equation based on Green's function for scattering above the rough surface.
    • Domain decomposition divides the region below the ground into isolated interior regions for each object and an exterior region.
    • FEM is applied within these interior regions, coupled with a boundary integral formulation below the rough surface acting as a constraint.

    Main Results:

    • The hybrid FEM-BIE method offers significant improvements in computational memory, time, and versatility over traditional FEM.
    • Numerical simulations confirm the method's capability to study scattering from multiple dielectric objects buried beneath a rough ground.
    • The approach effectively handles the complexities introduced by the dielectric rough ground and buried objects.

    Conclusions:

    • The hybrid FEM-BIE method provides an efficient and versatile solution for 2D electromagnetic scattering problems involving buried objects under rough surfaces.
    • This technique overcomes the limitations of traditional FEM in handling large computational domains.
    • The study validates the effectiveness of the hybrid approach for complex subsurface scattering scenarios.