研究目的
To develop an efficient numerical method for modeling electromagnetic scattering from 2D electrically large PEC objects using a complex line source type Green's function to reduce computational time and memory requirements.
研究成果
The proposed method successfully localizes the impedance matrix, reducing memory storage to O(N) and drastically cutting computational time for large 2D PEC objects. It achieves low relative errors (<1%) compared to standard MoM and is validated for both near and far fields. The approach shows potential for extension to 3D geometries and other scattering structures.
研究不足
The method is not well-suited for sub-wavelength structures due to edge-dominant scattering. For 3D geometries, memory and computation time may increase, requiring further investigation. The selection of parameters b and α is critical and involves trade-offs between accuracy and computational efficiency.
1：Experimental Design and Method Selection:
The study uses a modified Method of Moments (MoM) approach by replacing the real source position vector with a complex quantity to generate a complex source point (CSP) beam, localizing the impedance matrix. Theoretical models include the Helmholtz equation and electromagnetic uniqueness theorem.
2：Sample Selection and Data Sources:
Simulations are performed on 2D PEC objects, specifically a flat strip and a square cylinder, with specified dimensions (e.g., strip length L up to 500λ, discretization length Δ = λ/10).
3：0).
List of Experimental Equipment and Materials:
3. List of Experimental Equipment and Materials: Computational setup includes a PC with Intel i7 processor (third generation), 16 GB RAM, Windows 7 platform, and MATLAB software for coding and simulations.
4：Experimental Procedures and Operational Workflow:
The MoM procedure is applied with CSP type Green's function. For the strip geometry, EFIE is discretized using pulse basis functions for E-polarization and triangular basis functions for H-polarization. Parameters b (beam width) and α (edge region width) are determined and varied. Numerical solutions are obtained, and results are compared with standard MoM.
5：Data Analysis Methods:
Relative errors are computed between proposed method and standard MoM solutions. Radar cross section (RCS) patterns and near-field values are analyzed. CPU times and memory storage requirements are measured and compared.
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