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1.
By making a comparison between the acoustic equations and the
2-dimensional (2D) Maxwell equations, we obtain the material
parameter equations (MPE) for acoustic elliptical cylindrical
cloaks. Both the theoretical results and the numerical results
indicate that an elliptical cylindrical cloak can realize perfect
acoustic invisibility when the spatial distributions of mass density
and bulk modulus are exactly configured according to the proposed
equations. The present work is the meaningful exploration of
designing acoustic cloaks that are neither sphere nor circular
cylinder in shape, and opens up possibilities for making complex and
multiplex acoustic cloaks with simple models such as spheres,
circular or elliptic cylinders. 相似文献
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Structures with unique electromagnetic properties are designed based on the approach of spatial coordinate transformations of Maxwell's equations. Thisapproach is applied to scheme out invisible elliptic cylinder cloaks, which provide more feasibility for cloaking arbitrarily shaped objects. The transformation expressions for the anisotropic material parameters and the field distribution are derived. The cloaking performances of ideal and lossy elliptic cylinder cloaks are investigated by finite element simulations. It is found that the cloaking performance will degrade in the forward direction withincreasing loss. 相似文献
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By using the coordinate transformation method, we have deduced the
material parameter equation for rotating elliptical spherical cloaks
and carried out simulation as well. The results indicate that the
rotating elliptical spherical cloaking shell, which is made of
meta-materials whose permittivity and permeability are governed by
the equation deduced in this paper, can achieve perfect invisibility
by excluding electromagnetic fields from the internal region without
disturbing any external field. 相似文献
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Analysis of elliptical thermal cloak based on entropy generation and entransy dissipation approach 下载免费PDF全文
《中国物理 B》2019,(8)
In this work, we designed the elliptical thermal cloak based on the transformation thermotics. The local entropy generation rate distribution and entransy dissipation rate distribution were obtained, and the total entropy generation and entransy dissipation of different types of elliptical cloaks were evaluated. We used entropy generation approach and entransy dissipation approach to evaluate the performance of the thermal cloak, and heat dissipation analysis was carried out for models with different parameters. Finally, the optimized elliptical thermal cloak with minimum entropy generation and minimum entransy dissipation is found, and some suggestions on optimizing the structure of elliptical thermal cloak were given. 相似文献
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By using coordinate transformation method, this paper obtains an
useful equation of designing meta-material cloaks embedded in
anisotropic medium. This equation is the generalization of what was
introduced early by Pendry et al (2006 \textit{Science}
{312 1780) and can be more widely used. As an example of its
applications, this paper deduces the material parameter equation for
cylinder cloaks embedded in anisotropic medium, and then offers the
numerical simulation. The results show that such a cylinder cloak
has perfect cloaking performance and therefore verifies the method
proposed in this paper. 相似文献
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Xinhua Wang Shaobo Qu Song Xia Binke Wang Zhuo Xu Hua Ma Jiafu Wang Chao Gu Xiang Wu Lei Lu Hang Zhou 《Photonics and Nanostructures》2010,8(3):205-208
In this paper, three-dimensional (3-D) open cloaks were designed based on the coordinate transformation method. When the transformation center point is close to the boundary of the cloaks, the material parameter tensors in the near-boundary areas of the cloaks approximate to those in the background, so the near-boundary areas can be designed to be open. Full wave simulations based on finite element method verified the open cloaks we designed. Open cloaks can exchange information and materials with background media. Using the design method proposed in this paper, the boundary of open cloaks can be arbitrarily shaped, which greatly enhances the applicability of open cloaks. 相似文献
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利用部分波展开法求解得到了Gauss声束入射下刚性和非刚性椭圆柱的声散射系数,推导了一般情况下的声辐射力矩表达式.在此基础上,通过一系列数值仿真详细分析了离轴距离、入射角度和束腰半径对声辐射力矩的影响.结果表明:正向与负向声辐射力矩均可以在一定条件下存在;低频情况下刚性椭圆柱比非刚性椭圆柱更容易产生较强的声辐射力矩;特定频率的入射声场可以激发出非刚性椭圆柱不同阶的共振散射模式,因而非刚性椭圆柱的声辐射力矩峰值与频率的关系更密切;增加束腰半径有利于扩大散射截面,进而增加椭圆柱的声辐射力矩.该研究结果预期可以为利用声辐射力矩实现粒子的可控旋转和流体黏度的反演提供一定的理论指导. 相似文献
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Miles M. Crosskey 《Physics letters. A》2011,375(18):1903-1911
We present examples of theoretically-predicted invisibility cloaks with shapes other than spheres and cylinders, including cones and ellipsoids, as well as shapes spliced from parts of these simpler shapes. In addition, we present an example explicitly displaying the non-uniqueness of invisibility cloaks of the same shape. We depict rays propagating through these example cloaks using ray tracing for geometric optics. 相似文献
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本文利用椭圆柱形坐标系,严格地分析了具有任意偏心度的椭圆截面的无限长理想导电的金属棒,放在有损耗的均匀各向同性的无限介质中,对从任意方向入射的均匀平面波的散射问题;并将散射场表示为马许函数。 相似文献
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Based on transformation acoustics, an arbitrary-shaped acoustic cloak capable of functioning as an information exchange-enabling internal cloak and a movement-allowing external cloak is presented. The general expressions of material parameters for the acoustic cloaks with arbitrarily conformal or non-conformal boundaries are derived, and then the performances of developed cloaks are validated by full-wave simulations. Finally, the different characteristics of the linear and nonlinear transformations-based cloaks are compared and analyzed. The proposed cloak could lead to wider applications beyond that of normal cloaks, since it effectively compensates the insufficiencies of traditional internal and external cloaks. Besides, this work also provides a new method to design bifunctional device and suggests an alternative way to make a large object invisible. 相似文献
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《Waves in Random and Complex Media》2013,23(2):259-267
A perfectly conducting elliptical cylinder filled with a warm plasma and immersed in an infinite axial magnetic field is considered. Using Maxwell’s equations and dielectric tensor, a Mathieu differential equation for axial component of electric field is obtained. Considering the boundary conditions, dispersion relation for waves in a plasma of warm electrons and immobile ions, which fills an elliptical waveguide and it is under the action of infinite axial magnetic field are calculated. Furthermore, dispersion relation and scalar potential in the quasi-static approximation in a cold magnetized plasma elliptical waveguide is calculated. The obtained results are graphically presented. 相似文献
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Scandrett CL Boisvert JE Howarth TR 《The Journal of the Acoustical Society of America》2010,127(5):2856-2864
While receiving less attention in the literature than electromagnetic cloaking, theoretical efforts to define and create acoustic cloaks based upon mimicking coordinate transformations through use of metamaterials is of interest. The present work extends recent analysis of Norris [Proc. R. Soc. London, Ser. A 464, 2411-2434 (2008)] by considering a range of cloaks, from those comprised of fluid layers which are isotropic in bulk moduli with anisotropic density to those having anisotropic bulk moduli and isotropic density. In all but pure inertial varieties, fluid layers comprising the cloaks are pentamode materials governed by a special scalar acoustic equation for pseudopressure derived by Norris. In most cases presented, material properties of the fluid/pentamode layers are based upon target values specified by continuously varying properties resulting from theoretical coordinate transformations geared to minimize scattered pressure limited by realistic goals. The present work analyzes such cloaks for the specific case of plane wave scattering from an acoustically hard sphere. An initial exploration of the parameter space defining such cloaks (for example, material properties of its constituent layers, and operating frequency) is undertaken with a view toward "optimal" design. 相似文献
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综合等效介质理论和表面等离子激元(SPP)Bloch模型,对比分析了两种新的亚波长光栅结构:二维矩形金属光栅和二维椭圆柱金属光栅。利用时域有限差分(FDTD)算法,对比分析了两种结构的透射率及其相位延迟与入射光波长及偏振角变化的关系,尤其两种结构实现λ/4波片功能所对应的透射特性。仿真结果表明,当入射光偏振角为75°时,两种结构均可实现λ/4波片功能,此时二维矩形和椭圆柱金属光栅的透射率分别为0.77和0.67,表明二维矩形金属光栅比椭圆柱光栅具有更好的透射效果。对应550~800nm的入射波长,两种光栅在各自允许的入射偏振角范围内均表现了较为平坦的宽带透射特性。 相似文献
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A. A. Akhsakhalyan A. D. Akhsakhalyan Yu. A. Vainer D. G. Volgunov M. V. Zorina E. B. Kluenkov L. A. Kaskov M. I. Kuznetsov L. M. Nefedov N. N. Salashchenko A. L. Kharitonov 《Bulletin of the Russian Academy of Sciences: Physics》2012,76(2):168-170
A procedure for correcting the shape of cylindrical surfaces by means of reactive ionic-beam etching is presented. The results from an experiment on manufacturing a glass surface as an elliptical cylinder are shown. 相似文献