Research On The Casimir Effect For Sandwich Structure Containing Anisotropic Materials

The Casimir effect is one of the most directly observable effects of the non-trivial nature of a quantum vacuum field.The Casimir interaction is a universal force for the formation of vacuum fluctuation electromagnetic field boundaries for all macroscopic objects.In nanotechnology,the Casimir effect not only provides static friction,but it is also a potential mechanism for actuation of MEMS devices.Although Casimir Force offers new possibilities for nanotechnology,it also shows some challenges,as microelectromechanical and nanoelectromechanical systems devices may stop working due to attractive Casimir forces.Therefore,in recent years repulsive Casimir force has received a lot of attention.Furthermore,it has been found that in a system formed by two plates having in-plane optical anisotropy,a Casimir mechanical torsion may be generated,forcing the plate to rotate toward a position that minimizes the zero point.Optical or electromagnetic anisotropic materials have received widespread attention.Among them,ferrite as a magnetic ceramic crystal material exhibits strong magnetic anisotropy under the action of an external field.This type of feature makes it useful in the memory core of digital computers because the tiny ferrite ring is capable of storing binary information.In addition,anisotropic metamaterials with unusual electromagnetic response tensors have attracted great attention in recent years.Hyperbolic metamaterials enable waveguides,imaging,sensing,and more devices that beyond traditional ones.In this paper,the Casimir force and torsion characteristics of sandwich structure systems containing these anisotropic materials are studied.The specific research work is as follows:The reflection coefficient matrix of the multilayer structure system of anisotropic materials is calculated by the transfer matrix method.For the vertical axis of the uniaxial anisotropic material,the reflection response of the whole system for the electromagnetic wave modes in all directions is consistent.It is more complicated for the case where the optical axis of the uniaxial anisotropic material is located at the interface and the biaxial anisotropic material because the electromagnetic wave mode depends on the angle between its propagation direction and the optical axis in the system.In both cases,the transfer matrix expression of the material plate layer was obtained by Maxwell's equations.Based on the results all mentioned above,the Casimir repulsive force and restoring force between sandwich structures contained the anisotropic ferrite were calculated and analyzed.We discuss the influence of the external static magnetic field and the direction of the external static magnetic field in the sandwich structure.Finally,a stable balance of the sandwich plate is shown by adjusting the external static magnetic field to obtain a stable balance of the intermediate plate.The Casimir torque between sandwich structures containing anisotropic ferrite materials was investigated.Firstly,the Casimir torque is calculated through the Casimir energy.Then we can control the braking of the intermediate plate by the position of the intermediate plate or the applied static magnetic field strength to enable the actuation of intermediate plate,and also can control the rotation rate.Finally,the Casimir torque between the anisotropic hyperbolic metamaterials and among the sandwich structure are investigated.In the sandwich structure composed of ?-HMM/?-HMM/?-HMM,the angle between the optical axes of the plates,the filling factor and the position of the intermediate plate will influence the Casimir torque.In this dissertation,all of these effects are all explained in detail.This work provides theoretical conditions for obtaining a stable submicron structure.