中文摘要：

五模超材料具有与流体相似的物理性质,为各向异性流体的物理实现提供了途径,因此Norris提出了将其用于声隐声斗篷设计的思路.本文对Norris五模超材料声隐声斗篷设计中提出的坐标变换方程进行研究,利用有限元方法对不同坐标变换下声隐声斗篷的平均可视度进行数值计算,分析了五模超材料斗篷的隐身性能影响因素及规律.结果表明,通过选取不同的坐标变换方程改变其物性参数分布,能够调节斗篷中的声波传播路径,对声隐声斗篷的声散射特性产生明显影响.因此,选择合适的坐标变换方程能够有效改善隐身性能.

英文摘要：

The pentamode material, similar to fluid in physical properties, serves as a useful way for the physical implementation of the anisotropic fluid. Based on the similarity, a method to design cloak with the pentamode materials has been put forward by Norris. To analyze the effect factors and rules of the stealth performance of the cloak, the present article is focused on the studying of the coordinate transformation equation of the pentamode cloak design of Norris. Cloaks with different materials parameters distribution can be achieved by adjusting coordinate transformation equations. There are four kinds of the distribution of pentamode cloak material parameters： the density equation being constant, the modulus equation being constant, the density equation being, power equation and the modulus equation being power equation. The average visibility is considered as the standard of stealth effect and is calculated with different coordinate transformation equations by using the software COMSOL. The average visibility is used to analyze the relationship between stealth effect and coordinate transformation equations. The relationship between the coordinate transformation equation and the route of acoustic wave transmission, the relationship between the materials of obstacle and the stealth effect, and the relationship between the route of acoustic wave transmission and the stealth effect are studied. Two results are achieved by comparing these relationships mentioned above. The first is that the stealth effect of a cloak with aluminum obstacle is worse than one with water obstacle. The reason lies in the impedance mismatch between the aluminum and the cloak material. The second result shows that the coordinate transformation equation is related to the distribution of material parameters and the route of acoustic wave transmission and it can affect the scattering property of the cloak. When the route of acoustic wave transmission is close to inner surface of cloak, the stealth effect is relatively poor, while when the