研究目的
To apply the asymptotic homogenization method to complex dielectric periodic composites, establish an equivalence to coupled dielectric problems with real coefficients, derive closed-form formulas for the complex dielectric effective tensor for a square array of circular inclusions, and estimate gain and loss enhancement properties of active and passive composites.
研究成果
The asymptotic homogenization method effectively derives closed-form formulas for the complex dielectric effective tensor of periodic composites. These formulas are advantageous for estimating gain and loss enhancement properties, showing good agreement with other approaches and potential applications in metamaterials.
研究不足
The paper does not explicitly mention limitations, but the methodology is specific to periodic composites with certain symmetries and may not be directly applicable to non-periodic or more complex geometries.
1：Experimental Design and Method Selection:
The asymptotic homogenization method is applied to complex dielectric periodic composites. An equivalence to coupled dielectric problems with real coefficients is established, similar to a piezoelectric problem.
2：Sample Selection and Data Sources:
A square array of circular inclusions embedded in a matrix is considered for deriving closed-form formulas for the complex dielectric effective tensor.
3：List of Experimental Equipment and Materials:
Not explicitly mentioned in the paper.
4：Experimental Procedures and Operational Workflow:
The methodology involves solving local problems for periodic composites, deriving effective coefficients, and comparing numerical results with other approaches.
5：Data Analysis Methods:
Numerical computations are performed to validate the derived formulas and compare them with existing approaches.
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