基于变换热力学的三维任意形状热斗篷设计

在变换热力学的基础上,通过坐标变换的方法,推导出三维任意形状热斗篷导热系数的通解表达式,并进行了全波仿真验证.结果表明:热流均能绕过保护区域流出,保护区域的温度保持不变,而且热斗篷外的温度场并没有破坏,具有很好的热保护和热隐身的效果.这一方法把变换热力学从二维拓展到三维,具有普遍的适用性.同时,这种技术为热流流动路径和目标温度场的控制奠定了理论基础,在微芯片、电动机的保护以及目标热隐身上有潜在应用.     

Nanoscale thermal cloaking by in-situ annealing silicon membrane

With the advent of thermal metamaterials, many new thermal functionalities have been proposed, like thermal cloaking, concentrating, etc. However, these thermal functionalities are based on the transformation thermotics or scattering cancellation technique, which, derived from Fourier's law, cannot apply to the micro-/nanoscale counterparts. In this paper, we design a nanoscale thermal cloak based on a crystalline silicon (Si) membrane and investigate the in-plane phonon transport via non-equilibrium molecular dynamics (NEMD) simulation by in-situ tuning the thermal conductivity of the thermal cloak from crystalline Si to amorphous Si. The two-dimensional temperature profile is obtained, and the thermal cloaking effect is evaluated by the ratio of heat flux. By analyzing the phonon density of state (PDOS) and the mode participation ratio (MPR), the mechanism can be attributed to the phonon localization in the annealed cloaking region. The proposed nanoscale thermal cloak by in-situ tuned thermal conductivity, may trigger the development of nanoscale thermal functionalities and open avenues for and thermal management for nano-photonics and nano-electronics.     

Quasi-invisible thermal cloak based on homogenous materials

Invisible thermal cloak, which cancels distortions of temperature distribution caused by objects, has many potential applications in thermal engineering. In this letter, we theoretically proposed and simulatively verified a new design method for quasi-invisible thermal cloak. Different from conventional transformation thermodynamics that focus on complete invisibility, our method only decreases the effective scale of objects to small enough and realizes a quasi-invisible cloaking effect in thermal conduction regime. However, this quasi-invisible cloak has the same effect as that of invisible thermal cloak in practical engineering. More important, our cloak is easy to construct by natural materials due to its homogenous thermal properties and can cloak objects with different shapes and properties. These characters make the clock more comfortable for engineering applications.     

新型椭圆形互补隐身斗篷设计

基于变换光学理论和互补媒质理论,提出了新型椭圆形互补隐身斗篷的设计方法,并得到了本构参数张量表达式,利用基于有限元算法的电磁仿真软件对该模型进行了全波仿真验证,结果证实了所得到的表达式的正确性,这种隐身斗篷不仅能够实现对位于其内部的物体隐身,而且电磁波能透进隐身斗篷内部进而可以与外界进行通信。     

Performance investigation of nanoscale thermal cloak by the perforated silicon film

In recent years, nanoscale thermal cloak, as a representative of nanoscale heat flux regulation devices, has attracted a lot of attention from researchers. However, the existing design methods are relatively complicated and all adopt constant temperature boundaries, the temperature changes constantly in the real environment, which greatly hinders its engineering applications. In this paper, inspired by phonon localization theory, we construct a nanoscale thermal cloak by a perforated silicon membrane and evaluate its cloaking performance and dynamic response. Results show that when the perforated area is fixed, the more the number of holes, the better the cloaking performance. In addition, the nanoscale thermal cloak still exhibits good cloaking performance in the dynamic environment. Finally, the cloaking mechanism is analyzed by calculating the phonon density of states (PDOS) and mode participation rate (MPR), and the reduction of thermal conductivity in the functional region is attributed to phonon localization.     

任意横截面柱形热斗篷研究与设计

基于变换热力学,导出了具有非共形任意横截面的柱形热斗篷热导率表达式,并在此基础上设计了具有非共形横截面的柱形热斗篷.全波仿真结果表明,热斗篷迫使外部热流绕过斗篷,导致隐身区域热通量为零,从而具有热保护功能;同时,热流绕过斗篷后将恢复原来的温度场分布,使其具有完美热隐身功能.此外,基于所导出的变换媒质热导率表达式,设计并求解了具有规则共形和非规则共形横截面的柱形热斗篷,发现它们同样具有热保护和完美热隐身功能.这表明通过选择适当的边界函数,所得变换媒质热导率表达式可用于设计任意横截面柱形热斗篷,具有普遍的适用性,这种技术在计算机芯片、卫星和航天器等的热保护中有潜在应用.     

Design of two-dimensional elliptically cylindrical invisible cloaks with multiple regions

Two-dimensional(2D) elliptically cylindrical invisible cloaks with multiple regions are designed based on the transformation optics and the complementary media theory. Multiple invisible cloak regions can be obtained by properly using the compressed or folded transformation in each space layer. The constitutive parameter tensor expressions for each region have been obtained. The results of full wave simulations by using finite element software confirm the validity of the constitutive parameter tensor expressions. In addition, the parameters are relatively easier to realize.     

非均匀背景中任意柱状热斗篷的研究与设计

在变换热力学的基础上,通过坐标变换的方法严格推导出在层状背景和渐变背景下二维任意形状热斗篷导热系数的通解表达式,并在此基础上设计出非均匀背景下二维非共形热斗篷.全波仿真结果表明:在不同背景下,热流均能绕过保护区域流出,保护区域的温度保持不变,而且热斗篷外的温度场并没有破坏,具有很好的热保护和热隐身的效果.这一方法考虑到背景的复杂性,更加贴近工程实际应用,为未来灵活控制热流传递提供了一种可行的方法,对目标热隐身和热保护具有重要借鉴意义.     

一种适用于对称截面的主动式热斗篷的研究

直接求解导热方程对具有自适应热源的可控式热隐身技术进行数值研究，探索热流控制方法及隐身效果，推导出均匀背景下二维对称截面热斗篷热隐身区域自适应热源分布的通解.仿真结果表明：对于任意对称截面斗篷，自适应热源都能使得扰动后的温度场很好地恢复到背景温度场，达到热隐身的目的.     

Examination of the Thermal Cloaking Effectiveness with Layered Engineering Materials

The concentrically layered thermal cloaks with isotropic materials could realize the equivalent thermal cloaking effect with Pendry's cloak,while the effectiveness is scarcely investigated quantitatively.Here we examine the cloaking effectiveness quantitatively by evaluating the standard deviation of the temperature difference between the simulated plane with the layered thermal cloak and Pendry's thermal cloak.The design rules for the isotropic materials in terms of thermal conductivity and layer thickness are presented.The present method could quantitatively evaluate the cloaking effectiveness,and could open avenues for analyzing the cloaking effect,detecting the(anti-) cloaks,etc.     

Construction and mechanism analysis on nanoscale thermal cloak by in-situ annealing silicon carbide film

In recent years,there is a strong interest in thermal cloaking at the nanoscale,which has been achieved by using graphene and crystalline silicon films to build the nanoscale thermal cloak according to the classical macroscopic thermal cloak model.Silicon carbide,as a representative of the third-generation semiconductor material,has splendid properties,such as the high thermal conductivity and the high wear resistance.Therefore,in the present study,we build a nanoscale thermal cloak based on silicon carbide.The cloaking performance and the perturbation of the functional area to the external temperature filed are analyzed by the ratio of thermal cloaking and the response temperature,respectively.It is demonstrated that silicon carbide can also be used to build the nanoscale thermal cloak.Besides,we explore the influence of inner and outer radius on cloaking performance.Finally,the potential mechanism of the designed nanoscale thermal cloak is investigated by calculating and analyzing the phonon density of states(PDOS)and mode participation rate(MPR)within the structure.We find that the main reason for the decrease in the thermal conductivity of the functional area is phonon localization.This study extends the preparation method of nanoscale thermal cloaks and can provide a reference for the development of other nanoscale devices.     

基于拉普拉斯方程的任意形状热斗篷研究与设计

如何灵活地控制和操纵热流是目前研究的热点.本文基于拉普拉斯方程提出了一种设计任意形状热斗篷的方法.对于形状规则的热斗篷,在特定边界条件下求解拉普拉斯方程得到了斗篷区域材料的热导率分布解析表达式;对于不规则形状的热斗篷,通过数值求解拉普拉斯方程得到了斗篷区域材料的热导率参数分布.全波仿真结果表明,所设计的二维和三维任意形状热斗篷内部隐身区域的热通量为零,从而具有热保护功能;同时,热流绕过斗篷后温度场恢复原来的分布,实现了完美隐身功能.这项研究为解决热斗篷内外边界非共形问题提供了一种可行的方法,对热保护器件的设计和制备有指导意义.     

Three-dimensional thermal illusion devices with arbitrary shape

Since the concept of invisible cloak was proposed by Pendry and Leonhardt in 2006, many researchers have applied the theory of coordinate transformation to thermodynamics and overcome the complexity of inhomogeneous and anisotropic of material parameters. However, only two-dimensional(2 D) thermal illusion devices are researched recently. According to this situation, our study focuses on three-dimensional(3 D) thermal illusion devices including shrinker(or invisible cloak),concentrator, amplifier, reshaper, and rotator with arbitrary shape in a general way. In this paper, the corresponding material parameters of thermal illusion devices mentioned above are derived based on the theory of transformation thermodynamics and the simulated results agree well with the theoretical derivations. In addition, the conventional invisible cloak just controls the temperature gradient rather than the temperature value which is more concerned in physical applications. Here,we find that the temperature value of the cloaked object can be controlled by adjusting the location of the original point of the coordinate system.     

Ellipsoidal Thermal Concentrator and Cloak with Transformation Media

Thermal concentrators and cloaks with ellipsoidal shapes are designed by utilizing the transformation thermotics method and finite element simulations.The thermal conductivities for the concentrator and cloak are directly derive in Cartesian coordinates.The simulation results show that the ellipsoidal thermal concentrator can focus heat flux into a central region and that the ellipsoidal thermal cloak can guide heat flux around the cloaked region smoothly without disturbing the external temperature distribution and heat flux.The present method can be extended to design arbitrarily shaped thermal metadevices with novel properties.     

Transformation optics and cloaking

Invisibility, a long sought-for speculation in science fiction, has been turned into reality in the laboratory through the use of a theoretical technique called Transformation Optics. The principles of transformation optics show that any desired smooth deformation of the electromagnetic field can be implemented exactly by an appropriately engineered metamaterial. All demonstrations of cloaking to date have had limitations, however, reflecting our technological inability to implement the transformation optics algorithm exactly. However, the scientific principles leading to perfect invisibility are now established, and practical improvements on the initial designs are now occurring very rapidly. Most recently, researchers have re-examined transformation optics to include time as well as space, describing and then implementing the concept of a cloak that hides events, a conceptual breakout that promises many new applications. This review describes the general ideas underlying transformation optics, and how the various types of cloak based on these ideas have been implemented practically to date.     

基于超材料的定向传热结构研究与设计

在热斗篷研究的基础上, 提出定向传热结构的研究. 基于变换热力学, 采用坐标斜变换推导了定向传热结构热导率分布的表达式. 数值计算结果表明, 外部热流流经定向传热区域时, 热流向设计的高温面流动, 而设计的低温面温度较低. 此外, 在导出的热导率分布表达式的基础上, 进一步进行坐标旋转变换, 得到的热导率表达式只有相互垂直的两个分量. 计算结果表明, 沿高温面法向的热导率增大时, 传热效率提高, 而且经过坐标旋转变换后, 高温面与低温面的温差增大. 定向传热在红外隐身、热防护领域具有潜在的应用价值.     

Thermal Magnifier and Minifier

For thermal conduction cases,one can detect the size of an object explicitly by measuring the temperature distribution around it.If the temperature is the only signature we can obtain,we will give an incorrect judgment on the shape or size of the object by disturbing the distribution of it.According to this principle,in this article,we develop a transformation method and design a dual-functional thermal device,which can create a thermal illusion thai the object inside it"seems"to appear bigger or smaller than its original size.This device can functionally switch among magnifier and minifier at will.The proposed device consists of two layers:the cloak and the complementary material.A thermal cloak can make the internal region thermally"invisible"while the complementary layer offsets this effect.The combination leads to the illusion of magnification and minification.As a result of finite element simulations,the performances of the illusions are confirmed.     

Remote acoustic cloaks

Due to the correspondence of the acoustic equations to Maxwell??s equations of one polarization in two dimensions, we exploit theoretically the acoustic counterpart of the recently proposed remote invisibility cloak. The cloak consists of a circular cylindrical core with designed bulk moduli, and an ??anti-object?? embedded inside a shell with anisotropic mass densities. The material parameters of the cloaking shells are obtained by using the coordinate transformation method. The essence of the new design of cloaks relies on the ability that the cloaked object is no longer deafened by the cloaking shell, which is verified by both the far-field and near-field full-wave finite-element simulations in two dimensions.     

Macroscopic invisibility cloak for visible light

Invisibility cloaks, a subject that usually occurs in science fiction and myths, have attracted wide interest recently because of their possible realization. The biggest challenge to true invisibility is known to be the cloaking of a macroscopic object in the broad range of wavelengths visible to the human eye. Here we experimentally solve this problem by incorporating the principle of transformation optics into a conventional optical lens fabrication with low-cost materials and simple manufacturing techniques. A transparent cloak made of two pieces of calcite is created. This cloak is able to conceal a macroscopic object with a maximum height of 2 mm, larger than 3500 free-space-wavelength, inside a transparent liquid environment. Its working bandwidth encompassing red, green, and blue light is also demonstrated.     

Design of square-shaped heat flux cloaks and concentrators using method of coordinate transformation

A square-shaped heat flux cloak and a square-shaped heat flux concentrator have been designed theoretically according to the invariance symmetry of steady state thermal conductive equation. The direction of heat flux in these devices can be modulated as desired. Using the method of coordinate transformation, the inhomogeneous and anisotropic thermal conductivity in the transformation region have been acquired. Two-dimensional finite element simulations were performed to confirm the theoretical results.