研究目的
To provide the solution of the diffraction problem of electric-polarized electromagnetic waves by a half-screen with Nth order GSTC, obtaining a general formula for the edge diffracted wave and analyzing the behaviors of the total field and its components numerically.
研究成果
A novel expression for diffracted waves by a half-plane with Nth order GSTC is derived, with formulations for even and odd N. The diffracted field consists of four components related to scattered GO waves. Numerical results show the influence of diffracted fields on total and GO waves, with variations at reflection and shadow boundaries. The approach generalizes previous work and handles limiting cases like impedance half-planes and soft/hard boundaries.
研究不足
The paper does not deal with the physical values of parameters in the boundary conditions, limiting practical application. The analysis is theoretical and may require validation with experimental data. The numerical results are based on arbitrary choices of parameters, which might not cover all real-world scenarios.
1：Experimental Design and Method Selection:
The study uses theoretical modeling based on generalized sheet transition conditions (GSTC) and high-frequency asymptotic methods to derive expressions for diffracted fields. It involves separating the scattered geometric optics field into components and relating them to the diffracted field.
2：Sample Selection and Data Sources:
No physical samples or datasets are used; the analysis is purely theoretical with numerical evaluations based on arbitrary parameters (e.g., ηi and τi).
3：List of Experimental Equipment and Materials:
No specific equipment or materials are mentioned; the work is computational and analytical.
4：Experimental Procedures and Operational Workflow:
The procedure includes deriving boundary conditions, evaluating reflection and transmission coefficients, determining scattered GO fields, and obtaining diffracted field expressions using mathematical relations. Numerical analysis is performed for specific values of N, φ0, and ρ.
5：Data Analysis Methods:
Numerical evaluation of field behaviors using derived formulas, with observations on interference patterns and field intensities at boundaries.
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