دانلود رایگان مقاله طراحی توپولوژیک بهینه نفوذپذیری منفی فراماده دی الکتریک

Abstract

This paper presents a Particle Swarm Optimization-based topology optimization method for the design of negative permeability dielectric metamaterials. As the electromagnetic metamaterials have some physical properties not available in nature, they have attracted a huge scientific research interest for decades. In fact, electromagnetic metamaterials can exhibit simultaneously negative permeability and negative permittivity. The aim of this work is to find an optimal topology of a dielectric metamaterial that achieves negative permeability at a given frequency. A binary Particle Swarm Optimization is developed and applied to a negative permeability dielectric metamaterial topology design problem. The optimization process is achieved using a developed numerical model of the studied metamaterial, which is solved by the Finite Element Method. First, the governing equations and the weak formulation of the electromagnetic problem are presented. Then, the optimization problem to be solved is formulated. The developed binary Particle Swarm Optimization method, and the developed interfacing method are explained. Some numerical examples are presented to demonstrate that the binary Particle Swarm Optimization is adapted to the topology optimization of negative permeability dielectric metamaterials, at given frequencies, to demonstrate the utility and validity of the presented method.

6. Conclusions

This work presents a new developed binary Particle Swarm Optimization algorithm for the negative permeability metamaterials at the frequencies 10 THz and 15 THz. The optimization problem is to minimize the global effective permeability of the studied metamaterial. To solve this optimization problem, an interfacing method has been developed using MATLAB® and ANSYS®. The electromagnetic theory of the Scattering parameters has been used to calculate the effective permeability. The electromagnetic 3-D wave problems were solved by ANSYS® using a high-frequency tetrahedral element. A PSO algorithm has been developed and programmed in MATLAB®. Finally, the optimization of 3-D structures has been realized minimizing the imaginary part, and the real part of the effective permeability, in a two steps process. Two numerical examples have been presented. The developed method successfully finds the optimal topology configurations of the metamaterials by minimizing their effective permeability. The obtained results can be successfully compared, in a qualitative way, to the results of Zhou [41] and Otomori [42].